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                                                                                                                                                                                                                                                         NEET Senior : TARGET NEET-2024
                   The Leader In Chemistry .....                                                                                                                                                                                                              Physics - Test No. : 18
                                                                                                                                                                                                                                                            Work, Energy and Power + Gravitation
                                                                                                                                                                                                                                                             + Mechanical Properties of Solids
                                                                                                                                                                                                                                                     Date           Time       No. Of MCQs         Marks
                                                                                                                                                                                                                                                23/02/2024      60 mins.           50          180 (+4, –1)
                          PHYSICS                                                                                                                                                                                                               5.     A 10 kg block moves in a straight line under
                          Section : A                                                                                                                                                                                                                  the action of a force that varies with the
                                                                                                                                                                                                                                                       position, as shown in the figure. How much
1.   A     particle        is    moved          from        position
                                                                                                                                                                                                                                                       work is done by the force as the block moves
                                           
     r1  (3iˆ  2 jˆ  6kˆ ) m to position r2  (14 iˆ  13 jˆ  9kˆ ) m                                                                                                                                                                              from origin to x = 8 m.     [ NCERT Page-119]
                                               
     under the action of a force F  (4iˆ  jˆ  3kˆ ) N .
     The work done is equal to                [ NCERT Page-117]
     1) 32 J                           2) 64 J
     3) 96 J                           4) 46 J
2.   The net work done by the tension when the
                                                                                                                                                                                                                                                       1) 20 J        2) 25 J     3) 30 J     4) 0 J
     bigger block of mass M touches the ground, as
                                                                                                                                                                                                                                                6.     At time t = 0, particle starts moving along the
     shown in the figure, is    [ NCERT Page-138]                                                                                                                                                                                                      x-axis. If its kinetic energy increases uniformly
                                                                                                                                                                                                                                                       with time t, the net force acting on it must be
                                                                                                                                                                                                                                                       proportional to
                                                                                                                                                                                                                                                       1) t          2) t0        3) t        4) 1 / t
                                                                                                                                                                                                                                                7.     A ball of mass 500 g falls from a height of 10 m.
                                                                                                                                                                                                                                                       If it strikes the ground with the speed of 5 m/s,
                                                                                                                                                                                                                                                       then work done by air friction is
                                                                                                                                                                                                                                                                                        [ NCERT Page-116]
                                                                                                                                                                                                                                                       1) 43.75 J    2) 50 J   3) 6.25 J    4) 25 J
                                                                                                                                                                                                                                                                              
     1) Mgd                            2) –(M + m)gd                                                                                                                                                                                            8. A unidirectional force F  (2x  3 x )iˆ is acting
                                                                                                                                                                                                                                                                                            2
     3) –mgd                           4) zero                                                                                                                                                                                                      on a block, initially at rest, placed on a smooth
3.   The velocity-time graph of                                                                                                                                                                                                                     surface at position x = 0. The minimum kinetic
                                                                                                                                                                                                                                                    energy is 4 units. Find the positive numerical
     a particle of mass 2 kg,                                                                                                                                                                                                                       value of constant .
     moving in a straight line,                                                                                                                                                                                                                     1) 2        2) 1           3) 3         4) 4
     is given in figure. The                                                                                                                                                                                                                    9. Select the correct alternative(s).
     work done by all the forces                                                                                                                                                                                                                    I)    The work done by static friction is not
     from t = 0 to t = 2 s on the                                                                                                                                                                                                                         always zero.
     particle is                              [ NCERT Page-117]                                                                                                                                                                                     II) The work done by static friction is always
                                                                                                                                                                                                                                                          non-zero.
     1) 400 J                          2) –400 J
                                                                                                                                                                                                                                                    III) The work done by kinetic friction can also
     3) –200 J                         4) 200 J                                                                                                                                                                                                           be positive.
4.   Assertion : Mechanical energy of a particle is                                                                                                                                                                                                 IV) The kinetic energy of a system cannot be
     conserved if it is acted upon by a conservative                                                                                                                                                                                                      increased without applying an external
     force only.                                                                                                                                                                                                                                          force on the system.       [ NCERT Page-117]
     Reason : Work done by a conservative force in                                                                                                                                                                                                  1) I and III only          2) I, III and IV only
                                                                                                                                                                                                                                                    3) II and IV only          4) I and II
     a closed path is zero.     [ NCERT Page-121]
                                                                                                                                                                                                                                                10. Potential energy U of a particle in a conservative
     1) If both assertion and reason are true and
                                                                                                                                                                                                                                                                                             2 4
        reason is the correct explanation of assertion.                                                                                                                                                                                                field is given by the expression U   2   J .
                                                                                                                                                                                                                                                                                            x   x
     2) If both assertion and reason are true, but reason
                                                                                                                                                                                                                                                       The acceleration of the particle of mass 2 kg at
        is not the correct explanation of assertion.
                                                                                                                                                                                                                                                       position x = 1 m is            [ NCERT Page-121]
     3) If assertion is true, but reason is false.                                                                                                                                                                                                     1) zero                  2) 4 m/s2
                                                                                                                                                                                                                                                                 2
     4) If assertion is false, but reason is true.                                                                                                                                                                                                     3) 1 m/s                 4) 2 m/s2
Vijaypath Test Series : Round-I                                                                                                                                                                                                                                                                        1
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11. The potential energy of a system increases if                                                                                                                                                                                 17. The earth takes time T to complete one revolution
    work is done                  [ NCERT Page-120]                                                                                                                                                                                   around the sun. If the distance between the sun
    1) upon the system by a non-conservative force                                                                                                                                                                                    and the earth is r, assuming the orbit of the earth
    2) by the system against a conservative force                                                                                                                                                                                     around the sun to be circular, the mass of the
    3) by the system against a non-conservative force                                                                                                                                                                                 sun is proportional to         [ NCERT Page-184]
    4) upon the system by a conservative force
                                                                                                                                                                                                                                         r2         r3          r3          r2
12. The spring shown in the                                                                                                                                                                                                           1)         2)          3)          4)
    figure is compressed                                                                                                                                                                                                                 T2         T3          T2           T
    initially and then                                                                                                                                                                                                            18. Which of the following statements is correct
    released. If a mass of                                                                                                                                                                                                            regarding universal gravitational constant G?
    2 kg moves with an acceleration of 10 m/s2, then                                                                                                                                                                                                                  [ NCERT Page-189]
    the magnitude of acceleration of mass 5 kg is                                                                                                                                                                                     1) G has the same value in all systems of units
    1) 10 m/s2               2) 0 m/s2                                                                                                                                                                                                2) Value of G depends upon the nature of the
    3) 4 m/s2                4) 5 m/s2                                                                                                                                                                                                   medium between the two bodies
13. If power P of a force varies with position (x)                                                                                                                                                                                    3) Value of G is same everywhere in the universe
     as P  x 1 / 4 , then the force F varies with x as                                                                                                                                                                              4) G is a dimensionless constant
                                                                                                                                                                                                                                  19. The mass of the moon is very small compared
                                     [ NCERT Page-125]
                                                                                                                                                                                                                                      to the mass of the earth. Compared to the
     1) F  x                   2) F  x 2                                                                                                                                                                                            gravitational force that earth exerts on the moon,
                                                                                                                                                                                                                                      the force exerted by the moon on the earth
                 1                 1
     3) F                      4) F                                                                                                                                                                                                 1) is the same                  [ NCERT Page-187]
            x                     x2                                                                                                                                                                                                  2) is smaller
14. Match the following. The potential energy for                                                                                                                                                                                     3) is greater
    a conservative system is given by U = ax2 – bx.                                                                                                                                                                                   4) depends on the medium between them
                                     [ NCERT Page-121]                                                                                                                                                                            20. If earth loses its gravity, then for an object
                                                                                                                                                                                                                                                                      [ NCERT Page-190]
                     Column-I                Column-II                                                                                                                                                                                1) weight becomes zero but not the mass
            The net force acting on the                                                                                                                                                                                               2) mass becomes zero but not the weight
      a.                                      i.     b / 2a
            system                                                                                                                                                                                                                    3) mass as well as weight become zero
                                                                                                                                                                                                                                      4) neither mass nor weight become zero
      b.    The equilibrium position         ii.    b ─ 2ax                                                                                                                                                                       21. At what height from the ground will the value
                                                                                                                                                                                                                                      of g be the same as that in 10 km deep mine
            The potential energy at the               2                                                                                                                                                                               below the surface of earth? [ NCERT Page-191]
      c.                                     iii.   ─b / 4a
            equilibrium position                                                                                                                                                                                                      1) 20 km                2) 10 km
      d.    The system is                    iv.    stable                                                                                                                                                                            3) 15 km                4) 5 km
                                                                                                                                                                                                                                  22. Which of the following graphs represents the
    1) a-iii, b-iv, c-ii, d-i 2) a-iv, b-iii, c-iii, d-i                                                                                                                                                                              variation of gravitational field E with distance
    3) a-ii, b-i, c-iii, d-iv 4) a-ii, b-iii, c-i, d-ii                                                                                                                                                                               r from centre of uniform hollow spherical shell
15. Water falls from a height of 60 m at the rate of                                                                                                                                                                                  of mass M and radius R?
    15 kg/s to operate a turbine. The losses due to
    frictional force are 10% of the input energy.
    How much power is generated by the turbine?                                                                                                                                                                                       1)                        2)
    (g = 10 m/s2)                  [ NCERT Page-128]
    1) 10.2 kW                2) 8.1 kW
    3) 12.3 kW                4) 7.0 kW                                                                                                                                                                                               3)                        4)
16. A planet of mass m is moving in an elliptical
    orbit about the sun with time period T. If A be                                                                                                                                                                               23. In order to shift a body of mass m from a circular
    the area of the orbit, then its angular                                                                                                                                                                                           orbit of radius 3R to a higher radius 5R around
    momentum would be               [ NCERT Page-184]                                                                                                                                                                                 the earth, the work done is [ NCERT Page-192]
           2mA                                                                                                                                                                                                                             3GMm                       2 GMm
     1)                         2) mAT                                                                                                                                                                                                1)                        2)
            T                                                                                                                                                                                                                                5R                      15 R
           mA                                                                                                                                                                                                                              GMm                       GMm
     3)                         4) 2mAT                                                                                                                                                                                               3)                        4)
           2T                                                                                                                                                                                                                               2R                        5R
Vijaypath Test Series : Round-I                                                                                                                                                                                                                                                       2
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24. There is no atmosphere on the moon because                                                                                                                                                                                 31. The stress versus strain
                                     [ NCERT Page-193]                                                                                                                                                                             graphs for wires of two
     1)it is closer to the earth                                                                                                                                                                                                   materials A and B are as
     2)it revolves around the earth                                                                                                                                                                                                shown in the figure. If
     3)it gets light from the earth                                                                                                                                                                                                Y A and Y B are the
     4)the escape velocity of gas molecules is lesser                                                                                                                                                                              Young’s modulus of the
       than their rms velocity there                                                                                                                                                                                               materials, then              [ NCERT Page-238]
25. A satellite is orbiting the earth. If its kinetic                                                                                                                                                                              1) YB = 2YA             2) YA = YB
    energy is doubled, then it will [ NCERT Page-196]                                                                                                                                                                              3) YB = 3YA             4) YA = 3YB
    1) fall on the earth                                                                                                                                                                                                       32. The stress–strain graph for materials A and B
    2) rotate with greater speed                                                                                                                                                                                                   are shown in the figure. Graphs are draw to
    3) maintain its path                                                                                                                                                                                                           the same scale. Which of the two is the stronger
    4) escape out of earth’s gravitational field                                                                                                                                                                                   material?                     [ NCERT Page-238]
26. The satellite of mass m revolving in a circular
    orbit of radius r around the earth has kinetic
    energy E. Its angular momentum will be
             E                       E
     1)                       2)
            mr 2                   2 mr 2
                                                                                                                                                                                                                                   1) A                      2) B
     3)  2Emr      2          4) 2Emr                                                                                                                                                                                              3) Both are equally strong
27. The kinetic energies of a planet in an elliptical                                                                                                                                                                              4) None of these
    orbit about the Sun, at positions A, B and C                                                                                                                                                                               33. A ball falling in a lake of depth 200 m shows
    are KA, KB and KC, respectively. AC is the major                                                                                                                                                                               0.1% decrease in its volume at the bottom.
    axis and SB (SB > AS) is perpendicular to AC at                                                                                                                                                                                What is the bulk modulus of elasticity of the
    the position of the Sun in the figure. Then                                                                                                                                                                                    material of the ball?           [ NCERT Page-243]
                                                                                                                                                                                                                                   1) 19.6 × 108 N/m2        2) 19.6 × 10–10 N/m2
                                                                                                                                                                                                                                   3) 19.6 × 1010 N/m2       4) 19.6 × 10–8 N/m2
                                                                                                                                                                                                                               34. The graph shows the
                                     [ NCERT Page-184]
                                                                                                                                                                                                                                   extension of a wire
                                                                                                                                                                                                                                   of length 1 m
    1) KB > KA > KC          2) KA < KB < KC                                                                                                                                                                                       suspended from the
    3) KB < KA < KC          4) KA > KB > KC                                                                                                                                                                                       top of a roof at one
28. The teacher allows all the students of a class                                                                                                                                                                                 end and with a load
    to perform the experiment to determine the                                                                                                                                                                                     W connected to the
    Young’s modulus of elasticity with the same                                                                                                                                                                                    other end. If the cross-sectional area of the wire
    experimental wire. It does not give correct                                                                                                                                                                                    is 1 mm2, then the Young’s modulus of the
    result to the last student because of                                                                                                                                                                                          material of the wire is        [ NCERT Page-238]
    1) Elastic limit         2) Elastic fatigue                                                                                                                                                                                    1) 2 × 1011 N m–2         2) 2 × 1010 N m–2
    3) Plasticity            4) Permanent set
                                                                                                                                                                                                                                       1    11      2
29. Two bodies of mass m and 9m are placed at a                                                                                                                                                                                    3)  10 N m               4) 4 × 1010 N m–2
    distance R. The gravitational potential on the                                                                                                                                                                                     2
    line joining the bodies where the gravitational                                                                                                                                                                            35. The area under load extension graph of a wire
    field equals zero, will be (G = gravitational                                                                                                                                                                                  obtained by Searle’s apparatus gives
                                                                                                                                                                                                                                   1) The work done          2) The pressure
    constant)                     [ NCERT Page-192]
                                                                                                                                                                                                                                   3) The momentum           4) The heat energy
         12Gm           16Gm         20Gm         8Gm                                                                                                                                                                                              Section : B
     1)         2)           3)           4) 
            R             R            R            R                                                                                                                                                                          36. The device which measures the extension of
30. Two wires of the same material have lengths                                                                                                                                                                                    wire in Searle’s apparatus for Young’s modulus
    in the ratio 1 : 2, and their radii are in the ratio                                                                                                                                                                           of elasticity is
                                                                                                                                                                                                                                   1) Vernier callipers    2) Screw gauge
     1 : 2 . If they are stretched by applying equal                                                                                                                                                                               3) Sphereometer         4) Metre scale
     forces, the increase in their lengths will be in                                                                                                                                                                          37. A 2 m long rod of radius 1 cm, which is fixed
     the ratio                     [ NCERT Page-240]                                                                                                                                                                               from one end, is given a twist of 0.8 radians.
     1) 2 : 2                 2)   2 :2                                                                                                                                                                                            The shear strain developed will be
     3) 1 : 1                 4) 1 : 2                                                                                                                                                                                             1) 0.002                2) 0.004
                                                                                                                                                                                                                                   3) 0.008                4) 0.016
Vijaypath Test Series : Round-I                                                                                                                                                                                                                                                   3
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38. If the ratio of lengths, radii,                                                                                                                                                                                                       46. A car of mass m is accelerating
    and Young’s moduli of steel                                                                                                                                                                                                               on a smooth level road under
    and brass wires in the figure                                                                                                                                                                                                             a single force F. The power
    are a, b and c, respectively,                                                                                                                                                                                                             delivered to the car is constant
    then the corresponding ratio                                                                                                                                                                                                              and equal to P. If the car’s velocity at an instant
    of increase in their lengths                                                                                                                                                                                                              is v, then after travelling how much distance, it
    is        [ NCERT Page-248]                                                                                                                                                                                                               gets doubled?                  [ NCERT Page-125]
         5a           5a          4a          3a                                                                                                                                                                                                  7 mv 2       4 mv3       mv3         18 mv 3
    1)    2      2)    2      3)    2    4)                                                                                                                                                                                                   1)          2)            3)          4)
        2b c         3b c        3b c        2b2 c                                                                                                                                                                                                  3P           3P          P           7P
39. If the spinning speed of the earth is increased,                                                                                                                                                                                      47. In given figure, ball A is released
    then the weight of the body at the equator                                                                                                                                                                                                from rest when the spring is at its
                                        [ NCERT Page-190]                                                                                                                                                                                     natural (unstretched) length. For
    1) does not change       2) get doubled                                                                                                                                                                                                   the block B of mass M to leave
    3) decreases             4) increases                                                                                                                                                                                                     contact with the ground at some
40. A rocket is projected in the vertically upward                                                                                                                                                                                            stage, the minimum mass of A
    direction with a velocity kve where ve is escape                                                                                                                                                                                          must be           [ NCERT Page-123]
    velocity and k < 1. The distance from the centre                                                                                                                                                                                          1) 2 M
    of earth upto which the rocket will reach is                                                                                                                                                                                              2) M
                                        [ NCERT Page-193]                                                                                                                                                                                     3) M / 2
                            2
                       (1  k )                             Re                                                                                                                                                                                4) a function of M and the force constant of spring
    1) Re(1 – k2) 2)            3)    Re (1  k 2 ) 4)                                                                                                                                                                                    48. The potential energy of a particle in a force
                          Re                             (1  k 2 )
                                                                                                                                                                                                                                                                       A B
41. A body is launched with a velocity less than                                                                                                                                                                                              field is given by U  2  , where A and B
    the escape velocity. The sum of its kinetic energy                                                                                                                                                                                                                 r    r
    and potential energy is         [ NCERT Page-196]
                                                                                                                                                                                                                                              are positive constants and r is the distance
                                                                                                                                                                                                                                              of the particle from the centre of the field.
    1) zero        2) negative          3) positive
                                                                                                                                                                                                                                              For stable equilibrium, the distance of the
    4) may be positive, zero or negative
42. Suppose the gravitational force varies                                                                                                                                                                                                    particle is                     [ NCERT Page-121]
    inversely proportional to the nth power of the                                                                                                                                                                                            1) A / B                  2) B / A
    distance. The time period of a planet in circular                                                                                                                                                                                         3) B / 2A                 4) 2A / B
    orbit of radius R around the sun will be                                                                                                                                                                                              49. A particle of mass m
    proportional to                [ NCERT Page-194]
                                                                                                                                                                                                                                              moving along a
                                                                                                                                                                                                                                              straight           line
    1) Rn     2) R(n + 1)/2   3) R(n – 1)/2   4) R–n
                                                                                                                                                                                                                                              experiences a force F,
43. The apparent weight of any object is
                                                                                                                                                                                                                                              which varies with the
                                        [ NCERT Page-191]
                                                                                                                                                                                                                                              distance travelled, as
    1) zero at the centre of the earth
                                                                                                                                                                                                                                              shown in figure. If
    2) same at all points on the surface of the earth
    3) more on equator than on poles                                                                                                                                                                                                                                                    2F0 x 0
    4) double of its value at an altitude equal to the                                                                                                                                                                                        the velocity of the particle at x0 is             , then
                                                                                                                                                                                                                                                                                         m
       radius of the earth                                                                                                                                                                                                                    the velocity at 4x0 is           [ NCERT Page-119]
44. Four particles, each of mass M, move along a
    circle of radius R under the action of their                                                                                                                                                                                                     2 F0 x0                    F0 x0
                                                                                                                                                                                                                                              1) 2                      2) 2
    mutual gravitational attraction. The speed of                                                                                                                                                                                                      m                         m
    each particle is
                                                                                                                                                                                                                                                    F0 x0
       GM                                  GM                                                                                                                                                                                                 3)                      4) None of these
    1)                           2)    2 2                                                                                                                                                                                                           m
        R                                   R                                                                                                                                                                                             50. A small block of mass m is kept on a rough
                                        GM  2 2  1                                                                                                                                                                                         inclined surface with inclination angle , fixed
         GM                                         
    3)      (2 2  1)            4)                                                                                                                                                                                                           in an elevator. The elevator goes down with a
          R                              R   4     
                                                                                                                                                                                                                                             uniform velocity v, and the block does not slide
45. If the distance betwen the earth and the sun                                                                                                                                                                                              on the wedge. The work done by the force of
    were half of its present value, then number of                                                                                                                                                                                            friction on the block in time t will be
    days in a year would have been approximately                                                                                                                                                                                                                               [ NCERT Page-125]
                                        [ NCERT Page-195]                                                                                                                                                                                     1) –mgvt                  2) mgvt
    1) 64.5       2) 129         3) 182.5        4) 730                                                                                                                                                                                       3) –mgvt sin2            4) –mgvt cos2
Vijaypath Test Series : Round-I                                                                                                                                                                                                                                                                    4