MHT-CET Triumph Physics (MCas)

Y 3.2 Rectilinear Motion

2. The actual distance travelled
during its motion is called
by the particl
(A) speed (B) displacement
0a (C) path length (D) position
R
X 3. If distance covered by a
particle is zero, what
can you say about displacement?
7 In U.C.M., if central angle or angular
(A) It is positive
displacement is given, then simply apply (B) It is negative
dy =2v sin 2 to determine change in velocity. (C) It cannot be zero
(D) Itmust bezero
Catapult 4. Choose the CORRECT statement.
(A) The magnitude of
displacement
than or equal to the path length.
is less
(B) The magnitude of
than the path length.displacement is greater
(C) The
(D) The magnitude
of displacement is infinite.
magnitude of
the path length. displacement is twice
5. The average speed is equal to the
average velocity, for the motion ofmagnitude
the
of
particle
along a straight line and in the same
then direction.
(A) path length is less than the
between them. distance
(B) path length is less than the
velocity. magnitude of
(C) path length is greater than the
ol of displacement. magnitude
(D) path length is equal to the
magnitude of
displacement.
6. If the particle moves with a
acceleration is constant velocity its
(A) maximum
(B) minimum
(C) depends on frame of
(D) zero
reference
A
catapult is a device used to launch a projectile to a
great distance without the aid of explosive devices. 7. Choose the WRONG statement.
The word itself means to hurl or toss (A) Speed can never be negative.
downwards. Primitive catapults were designed to (B) When the particle returns to the starting
increase the range and penetrating power of missiles point, its average velocity is zero but
by strengthening the bow which propelled them. average speed is not zero.
(C) Displacement does not tell the nature of
the actual motion of a particle between
Classical Thinking the points.
(( (D) If the velocity of a particle is zero at an
3.1 Introduction instant, its acceleration should also be
1 When the force acting on the object and the zero at that instant.
velocity of the object both are along the same 8. While plotting graph, independent variable
line, it is called (i.e., time) is plotted along
(A) rectilinear motion (A) X-axis
(B) vibratory motion tob(B) y-axisho
(C) rotational motion (C) Z-axis
(D) oscillatory motion (D) negative z-axis
 Chapter 03:Motion in a plane

9 Displacement time graph cannot be (B)

(A) below the timne axis. (A) 2 22
(B) straight line perpendicular to time axis as (C) (D) 2vV,
well as normal above and below the time 2v,V,
axis.
(C) straight line parallel to time axis. 16. Abus travels its onward journey with a constant
speed of 30 km/hr while its return journey with
(D) inclined to the time axis.
a constant speed of 60 km/hr, the average speed
10. Figure shows the displacement-time graph of a for its entire journey is (B) 45 km/hr
particle moving along x-axis. (A) 90 km/hr
(C) 40 km/hr (D) 15 km/hr
17. A body covers one-half of its journey at
40 m s and the next half at 50 m s. Its
average velocity is
(A) 44.44 m s (B) 50 ms
(C) 45 ms (D) 40 ms
to t
18. A train covers the first half of the distance
(A) The particle is continuously going in between two stations at the speed of 40 km h
positive x- direction. and the other half at 60 km h. Its average
(B) The particle is at rest. speed is
b (C) The velocity increases upto time to and (A) 52 km h (B) 50 km h
then becomes constant. (C) 48 km h (D) 42 km h
(D) The particle moves at a constant velocity 19. The position of an object moving along X-axis
upto atime to and then stops.
is given by x = a + bt where a = 8.5 mand
11. The slope of x-t graph at any point gives b= 2.5 m and t is measured in second. If the
(A) instantaneous velocity. object starts from t=0, the velocity at t=2s is
(B) instantaneous acceleration.83 (A) 18.5 m/s (B) 10 m/s
(C) force at that instant. (C) 9.25 m/s (D) 1.5 m/s
(D) momentum at that instant. An electron travelling with a speed of
20.
12. Area under the curve of velocity-time graph of a 5x 10' m/s passes through an electric field with
particle moving with constant velocity is an acceleration of 10 m/s. How long will it
e(A) acceleration of the particle.it take for electron to double its speed?
(B) distance travelled by the particle. (A) 0.5 x 10 s (B) 0.5 x 10"s
constant speed of the particle. bu (C) 5x 10s (D) 5x 10s
(D) variable speed of the particle.
21. An aeroplane takes off the ground after covering
13. A body is projected vertically upwards from the a distance of 800 m of runway in 16 s. Its
ground. On reaching the greatest height acceleration will be
(A) its velocity is zero and acceleration is not (A) 100 m/s (B) 50 m/s
zero. (C) 16.25 m/s? (D) 6.25 m/s
(B) its acceleration is zero and velocity is not
22. A bullet strikes a plank of thickness 5 cmn with a
zero.
(C) both velocity and acceleration are non velocity of 1000 m/s and emerges out with a
zero.
velocity of 400 m/s, the average retardation of
the bullet is
(D) both velocity and acceleration are zero. (A) -8.4 x 10° m/s (B) 8.4x 10° m/s
14. When a car moves towards east 50 m then (C) -60 x 10° m/s? (D) 60 x 10° m/s
towards south 50 m, later on towards west 50 m,
finally towards north S0 m, the displacement of
23. Alocal train, travelling at 72 km/hr is brought to
the car in magnitude is
rest in 10 seconds by applying the brake. How
(B) 100 m
much is the acceleration produced in this case?
(A) 200 m
(C) 50 m (D) zero Also how much is distance (s) covered by the
train before coming to rest?
15. A person travels along a straight road due east (A) a =2m/s, s = 300 m
for the first half distance with speed v) and the (B) a-2 m/s, s=300 m
second half distance with speed va, the average (C) a =2 m/s, s= 100 m
speed of the person is (D) a -2 m/s, s=100 m
 MHT-CET Triumph Physics (Mcas)
24. The v-t graph of an athlete is shown below. The 28. A body released from rest to fall freely under
distance travelled by him betweent=0 and gravity reaches the ground in 4 s. Then the
t= 12s is height from which it is released is
si (A) 98 m (B) 78.4 m
(C) 49m (D) 24.5 m
8
1 29. A stone is thrown vertically upwards with initial
V6
velocity of 14 m s. The maximum height it
(m/s) 4 will reach is [g=9.8 m s]
(A) 16m (B) 14 m
B C E (C) 10 m (D) 9.8 m
02 4 6 810 12 14 16
t(s) 30. A man swims relative to water with a velocity
greater than velocity of water. Then
(A) 36 m (B) 46 m (A) man may cross the river along shortest
(C) 66m (D) 78 m path.
25. The v-t graph of a particle moving with variable (B) man cannot cross the river.
acceleration is given below. Which of the (C) man cannot cross the river without
following statement is correct? drifting.
(D) man may cross the river along longest
path.
31. Two trains A and B are moving on parallel
tracks with velocities 60 km/h and 90 km/h
respectively, in opposite directions. The relative
velocity of train A with respect to train B is
(A) 30 km/h (B) 60 km/h
(C) 90 km/h (D) 150 km/h
32. If a car travelling at 58 km/h overtakes another
car travelling at 40 km/h, the relative velocity of
(A) Slope of the graph is positive but first car with respect to another car isK
decreases with time.
(A) -18 km/h (B) 18 km/h
(B) Slope of the graph is negative but (C) 98 km/h (D) 49 km/h
decreases with time.
(C) Slope of the graph is positive and 33. A thief is running away on a straight road in jeep
increases with time. moving with a speed of 9 m s. A police man
(D) Slope of the graph is negative and chases him on a motor cycle moving at a speed of
increases with time. 10 ms. If the instantaneous separation of the
jeep from the motorcycle is 100 m, how long will
26. The velocity-time graph of a body is shown in it take for the police to catch the thief ?
the following graph. At point C (A) 1s (B) 19s
(C) 90s (D) 100 s
3.3 Motion in Two Dimensions - motion in
AB a Plane
34. If car travelling at 58 km/h overtakes another
car travelling at 40 km/h, the relative velocity
of first car with respect to another car is
a (A) -18 km/h (B) 18 km/h
(A) the force acting on the body is zero. 3 (C) 98 km/h (D) 49 km/h
(B) only gravitational force is present.
(C) the force opposes the motion of the body. 35. The twodimensional motion of a body in which
(D) the force is maximum. a vertical motion with constant acceleration (g)
and a horizontal motion with constant velocity
27. A body projected vertically upwards with a acts, such a motion is
velocity of u retums to the starting point in (A) curved motion
6 second. Ifg=9.8ms the value of 'u' is (B) circular motion
(A) 60 m/s (B) 30.4 m/s (C) sinusoidal motion
(C) 294 m/s (D) 15 m/s (D) projectile motion
 Chapter 03: Motion in a plane
36. Which of the following is NOT an example of a 44. The time (T) required by the projectile to return
projectile? to original plane of projection is given by
(A) Aeroplane in flight. usin0 ucos0
(A) T (B) T=
(B) A
bullet fired from the gun.
(C) A
hammer thrown by an athlete. 2usin 0 2u cos0
(D) (C) T= (D) T=
A stone thrown from the top of the
building. The relation between time of ascent t, and time
45.
37. The path followed by projectile is called of descent ta is
(A) t,=ta (B) t,<ta
(A) ellipse (B) projection
(C) trajectory (D) parabola (C) ,>ta (D) t,= 2t4
46. A shell is fired at an angle of 30 to the horizontal
38. While studying projectile motion with velocity 196 m/s. The time of flight is
(A) air resistance is negligible with greater
speed. (A) 6.5 s o (B)10 s
(B) air resistance affects 0.5% of its motion. (C) 16.5s t q n (D) 20 s
(C) air resistance is negligible with very small 47. A body is thrown with velocity of 49 m/s at an
speed. angle of 30° with the horizontal, the time
(D) air resistance affects 0.7% of its motion required to attain maximum height is
without change in its speed. 9A) 5s (B)4s
(C) 3.5 s 6ant (D) 2.5 s
39. The only force acting on the projectile is
(A) gravitational force acting vertically 48. A projectile is launched at an angle of0 above
downward. the horizontal. The elevation angle a of the
(B) the effect of rotation of the earth. highest point of the trajectory as seen from the
(C) the effect of moon on the earth. launching position is given by
(D) attractive force between earth's magnetic tan a = lan9 sin a =
field and the projectile.
(A) (B) Sin 0
40. In projectile motion, a body is projected at an (C) tan a tan (D) sin a= sin
angle with velocity u then the horizontal
component of velocity will be 49. The horizontal distance between the point of
(A) ucos = constant
projection and the point on the same horizontal
(B) usin = constant plane, at which, the projectile returns after
(C) u tan = constant moving along its trajectory, is called
bA (D) u cot = constant of the projectile.
41. The angle of projection for a projectile thrown is(A) maximum height
parallel to horizontal is (B) maximum velocity
90° (B) 60° (C) horizontal range
(A) (D) vertical range
(C) 45° (D) 0°
50. At the point of horizontal range (R), the
42. A projectile is projected with velocity u making r coordinates are
an angle 0 with the horizontal, the equation of (A) x=0, y=R (B) X= 0, y = 0
the path of the projectile is given by
(C) xR, y=0 (D) x=R,y=R
(A) X=(tan 0) y - 2u' cos? 51. A shell is fired from canon with a velocity of
200 m/s at an angle of 30° with the horizontal.
(B) y= (tan ) x The horizontal range attained by it is
2ucos [g 10 ms]
(C) y(tan 0) x (A) 2x 10°Vm (B) 2x 10 V3 m
(C) 4x 10* V3 m (D) 2x 10 V3 m
(D) y=(tan ) x cos0 52. A gun throws a shell with muzzle speed of
98 m s When the gun is elevated at 45°, the
43 Time taken by the projectile to cover entire range is observed as 900 m. Due to air
trajectory is called as resistance its range is decreased by
(A) time of ascent (B) periodic time (A) 160 m (B) 120 m
(C) time of descent (D) time of flight (C) 80 m (D) 40m
7
 MHT-CET Triumph Physics (MCQs)
53.The initial velocity of the projectile is u and its
63.A body is projected
30 m/s at an angle ofwith
maximum range is Rmax then u is given by a vertical velocity of
(A) u= Rmax xg (B) u= Rma 30°
the maximum height and with the horizontal
respectively horizontal range are
(C) u R max (A) 79.53 m, 1148 m (B)
(D) u= Rm8 (C) 1148 m, 79.53 m
159.06 m, 11.48 m (D) 22.96 m, 79.53 m
64. When the
bsllo upwards then particle
54. Ashell fired from a is
0, Hand R ofprojected
canon can cover maximum vertically
horizontal distance of 10 km. Then velocity of it respectively are
projection is (A) 0°, -,0
(A) V980 m/s 2g (B) 90°, 0,
(B) /9800 m/s
(C) J9s000 m/s (D) 10 V98 m/s (C) 0°, 0, u?
55. For the maximum height of a 2 g t (D) 90°, 2g
(A) projectile 3.4 Uniform Circular Motion
horizontal component of velocity is zero. 65.
(B) vertical component of velocity is zero. In uniform circular motion,
(C) vertical acceleration is zero. ta (A) both velocity and acceleration are constant.
(D) initial velocity should be zero. (B) velocity changes and
constant.
acceleration
is
56. The projectile attains maximum height when it (C) velocity is constant and acceleration
is projected at an angle of
(A) 30° changes.
(B) 45° (D) both velocity and
acceleration change.
(C) 90° (D) 120° 66. Select the WRONG statement.
57. A man can jump on the moon
times as (A) InU.C.M. linear speed is constant.
high as on the earth.noead (B) InU.C.M. linear velocity is constant.
(A) two (B) three (C) In U.C.M. magnitude of angular
(C) four (D) six momentum is constant.
(D) In U.C.M. angular velocity is constant.
58. A cricketer can throw a ball to a maximum
horizontal distance of 100 m. How much high 67. If a particle moves in a circle describing equal
above the ground can the cricketer throw the angles in equal intervals of time, the velocity
same ball? vector

(A) 100 m 75 m
(A) remains constant.
(B)
(C) 50 m (B) changes in magnitude only.
(D) 25 m (C) changes in direction only.
59. For aprojectile motion, the horizontal range of (D) changes both in magnitude and direction.
projectile is same for any two angles which are 68. A particle moves along a circle with a uniform
(A) vertically opposite. speed v. After the position vector has made an
(B) complementary angles. angle of 30° with the reference position, its
(C) supplementary angles. speed will be
(D) equal angles. V
60.
bin (A) vW2 (B) (D) v
A stone is projected with velocity of 100 m/s at
an angle of 60° with the horizontal, its 69. A particle in U.CM. possesses linear
maximum height is acceleration since
(A) 883.6 m (B) 683.8 m (A) its linear speed changes continuously.
(C) 382.6 m (D) 196.3 mn (B) both magnitude and direction of linear
61. The maximum horizontal range of' a projectile is velocity change continuously.
(C) direction of linear velocity changes
980 m. Its initial speed and maximum height is continuously.
(A) 98 m s, 245 m (B) 245 m s,98 m linear speed does not change
196 m s . 245m (D) 98 m s, 490 m (D) its
(C) continuously.
62. The height y and the distance x along the 70. The acceleration of a particle in U.C.M. directed
horizontal, for a body projected in the vertical towards centre and along the radius iscalled
plane are given byy= 8t - 5t and x = 6t, the (A) centripetal acceleration.
initial velocity at t = 0 of the body is (B) centrifugal acceleration.
(A) 18m/s (B) 10 m/s (C) gravitational acceleration.
(C) 6 m/s (D) 4 m/s (D) tangential acceleration.
8
plane metre uniform
v, at speed
accelerates
it in is a startssame two If displacement a
fromrelation displacement
is till ofNoneacceleration
above after 11
is seconds m what ft. 3f
second B, the Theis
a 3
in distance m/s?
18 m/s? Y(n 2v(n-1)
+1) constant
s
10
acceleration t t + tg+fstartingparticle -+Bt (at
2g to
+p) m/s m/s
Motion
36 m 800 and seconds? body v. of
gt
with m 850
m 9.3
m value t its + Vo
n two 4 s uniform
in velocity
Vo Vo according at
particle
2
when 3 19 3
after for at 5 Another
moves = then the 2 14
rest last rest, decelerates
goes istravelled first 2 The (B) (B) (D) (B) (D) (B) (D)
03: a (B)(D) velocity the (B) (D) (B)(D) (B)
next
constant (D) (D) v
is of body
at in t.
constant =0,
particle velocity is
Chapter from in fromthen a velocity. a time, St
is m in with point, time t of
it is displacement 10 travelled at a +
of =9t
and distance a
whenpoint its Mo-1) starts thenThe
stops. Assuming moves a a =01)is ++f
Vo(A) with The
acceleration m/s?
fixed m/s?
starts
27(C) If 2v(n
+1) s
10 and
travels
and
initial
after
zerosameawith of = 3s m/s
Acceleration
m/s
9
(A) x (t
velocity B. be
acceleration acceleration. (A)
750
m (C)
700
m (A)10.3
8.3
m
distance (C)
m
A the meet2v position + varies is
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particle
for particle time 2 vÍ + will equation
body n
s body direction 2
-)
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from
its s 30
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3 bodies at t
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A A 2 for A A a
10. 11. 12. 13 14.
8 9
on and be the constantReasonReason m thenspeed average the motion generalization
a fromby its
Assertion 1 always along
man m) displacement?
(ii) canalong motion.Assertion s,
zero line0.1
acceleration.
and
velocity.speed. m/s m/s along givenof
average the magnitude
a -3 and motion is True; True; FalseFalse. 20 15 theis 23 moving
of bodyuniform for speed. straight
in m, Im, of body below: 16 describes
moving xdistance
m, variable is
position(7 (ii) (ii) is constant.
(B) is is is is
explanation
for Reason variable oscillation
its 2 values for
accelerated
Non-uniform,
acceleration
a Reason Reason
Reason constant a given data line
negative (D) of of explanation a and
(B) (D) of decelerated
Uniform,
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(ii) equation
is acceleration
as and along speed
numerical
particle accelerated
Uniform, a
enough the
Motionfinal
Rectilinear and one it is following at
and True, True, True,
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and velocity
by lesso
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Unity is 9x.
Critical
Thinking correct speed speed
non-zero
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Less times a it on
andas the velocity have covered
acceleration completesm/s m/s
more a not of when
given m) if is
is correct is is of
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Assertion Assertion
Assertion constant 20 the or
certain -2 the is v line,fixed
point
are m,7 3
only themotion NOT constant 15 Unity Unity position
0
m, pair of If
a
not particle distance
m, m, of and(A) of corectly? Therespeed =
108
x
(ii)
(C) Assertion:
three (-8(-7
x-axis ()
(A) direction
appliedReason: a
its is is
can
ifit 1 2 ratio velocity at straight
Which Body long, X-axist(s)(m) Which
The the (ii) then(A) (B) (C) (D) (A)(B)(C)(D) A the (A)(C) The (B) (C)(D) The X (A) (C)(D) The
3.2 () 1S a
2. 3. 4.
MHT-CET Triumph Physics (MCQs)
15The relation between time and distance is 20. Look at the graphs (A) to (D) carefully ano
t= ax' +Bx, where a and B are constants. The indicate which of these possibly represents on:
dimensional motion of a particle?
retardation is
(A) 2av (B) 2Bv V

l (C) 2aßv' (D) 2B'v

16. A body starting from rest, accelerates at a (A) B)
constant rate a m/s for some time, after which it
decelerates at a constant rate b m/s to come to
rest finally. If the total time elapsed is t s the v
maximum velocity attained by the body is given (C)
by
ab -t m/ss (B) 0 t m/s
(A) a +b a-b
2ab 2ab
(C) a+b
-t m/s (D) a -b
-tm/s 21. The graph of displacementv/s time is
17. Which of the following position-time graph
does NOT exist in nature?

(A) X (B) X
Its corresponding velocity-time graph will be

(A) (B)
X
(C) (D)
t

18. The v-t graph below represents

(C) v (D) V

22. A body is at rest at x = 0. At t = 0, it starts

(A) constant positive acceleration. moving in the positive x-direction with a
(B) zero acceleration. constant acceleration. At the same instant
(C) constant positive acceleration with non another body passes through x =0 moving in
zero initial velocity. the positive x-direction with a constant speed.
(D) constant negative acceleration. The position of the first body is given by xË (t)
after time t' and that of the second body by x
19. Which of the following graph cannot be (t) after the same time interval. Which of
velocity-time graph? the
following graphs correctly describes
a function of time t'
(x -x) as
(A) ‘ (B) (Xj-X2) (X1-X)

(A) (B)
t t

(X-X2)
(K1-2)
(C) (D)
(C) (D)

121
 Chapter 03: Motion in aplane
flow of
(m/s)
gVelocity
23.A lift is going up. The variation in the speed of 29. A swimmer's speed in the direction of
river is 16 km/h. Against the direction of flow of
the lift is as given in the graph. What is the is 8 km/h. The
height to which the lift takes the passengers? river, the swimmer's speed
swimmer's speed in still water and the velocity
(A) 3.6 m of flow of the river respectively are
(A) 4 km/h, 12 km/h (B) 12 km/h, 12 km/h
(C) 4 km/h, 4 km/h (D) 12 km/h, 4 km/h
(B) 28.8 m 83.6 of
30. A police jeep is chasing a thief with velocity moving
36.0 m 45 km/h. The thief in another jeep is
(C) a bullet
Time (s) ’10 12 i with velocity 153 km/h. Police fires velocity
n with muzzle velocity of 180 m/s. The
with which it will strike the jeep of the thief is
(D) Cannot be calculated from the above (A) 150 m/s (B) 27 m/s
graphiee (C) 450 m/s (D)250 m/s

24. Astone is shot straight upward with a speed of 31. A train A which is 120 m long is running with
20 m/s from a tower 200 m high. The speed velocity 20 m/s while train B which is 130 m
with which it strikes the ground is (g= 10 m/s) with
long is running in opposite directionby train
(A) 60 m/s (B) 65 m/s velocity 30 m/s. What is the time taken
(C) 70 m/s (D) 75 m/s B to cross the train A?
25. A ball is dropped from a highly raised platform (A) 5s (B) 25s (C) 10s (D) 100 s
at t = 0 starting from rest. After 6 second 32. A 150 m long train is travelling from east to
another ball is thrown downwards from the west at a speed of 20 m/s. A bird is flying from
same platform with a speed v. The two balls west to east at a speed of 5 m/s. How long will
meet at t= 18 s. What is the value of y? scb the bird take to cross the train?
(Take g 10 m/s') or (A)6s (B) 2s (C)3s (D) 30 s
(A) 75 m/s (B) 55 m/s Motion in Two Dimensions - motion in
3.3
(C) 40 m/s (D) 60 m/s a Plane
26. A balloon is rising vertically up with a velocity 33. Ifv, and v,y are the magnitudes of component of
of 29 m s . A stone is dropped from it and instantaneous velocity along X and Y axes, then
reaches ground in 10 s. The height of the
balloon when the stone was dropped from it is o bo (A) v=v,ity,j (B) v=v, itv,k
(A) 400 m (B) 150 m
(C) 100 m (D) 200 m (D) v=;+
27. The relative velocity of two objects moving 34. Position of a particle at any instant t is given by
with same speed and in the same direction is
r= 3ti + 2tj+ 5k. Its velocity at same instant
(A) negative (B) zero
infinite willbe
(C) positive (D)
(A) 4ti +Skj (B) 3i+4+sk
28. Assertion: For a observer looking out through
the window of a fast moving train, the nearby (C) 3i +4tË (D) 3ti +4ti
objects appear to move in the opposite direction 35. A particle P starts from the origin with velocity
to the train, while the distant objects appear to
be stationary. u = (2i-4) m/s with constant acceleration
Reason: If the observer and the object are
(3i +5j) m/s'. After travelling for 2 seconds, its
moving at velocities v, and v, respectively distance from the origin is
with reference to a laboratory frame, the (A) 10m (B) 10.2 m
velocity of the object with respect to the (C) 9.8 m (D) 11.7 m
observer is v,-V, 36. A boat is moving with velocity of 3i+ 4j in
(A) Assertion is True, Reason is True; Reason river and water is moving with a velocity of
is a correct explanation for Assertion -3i- 4j with respect to ground. Relative
(B) Assertion is True, Reason is True; Reason
is not a correct explanation for Assertion velocity of boat with respect to water is
(C) Assertion is True, Reason is False (A)-6i -8j (B) 6i +8j
(D) Assertion is False, Reason is False. (C) 8i (D) 6
13
MHT-CET Triumph Physics (MCOs)
37.A train is moving towards east and a car is 44. Two bullets are fired
moving along north, both with same speed. The
observed direction of car to the passenger in the
simultaneoush
horizontally and with different speeds from
same place. Whích bullet will hit the groun
train is first?
(A) East-north direction (A) The faster one.
(B) West-north directíon (B) The slower one.
(C) South-east direction (C) Both will reach simultaneously.
(D) East direction
(D) Depends on masses.
38. The speed of a boat is 5 km/hr in still water. It 45. At the highest point of the path of a projectile
crosses a river of width 1 km along the shortest its
possible path in 15 minutes. The velocity of the (A) kinetic energy is maximum.
river water is
a (B) potential energy is minimum.
(A) 1km/hr (B) 3 km/hr
(C) kinetic energy is minimum.
(C) 4km/hr (D) 5 km/hr
(D) total energy is maximum.
39. A particle is moving with velocity 5 m/s 46. The velocity at the highest point of a projectil.
towards east and its velocity changes to 5 m/s projected 60° with horizontal with velocity v is
north in 10 s. Find the acceleration. (B) v/2
1
(A) zero
(A) V2 N- W (B) N- W (C) v/4 (D) VW2
1 47. A bomber plane moves horizontally with
() N-E (D) J2 N-E speed of 500 m/s and a bomb released from it.
strikes the ground in 10 s. Angle at which i
40. A scooter going towards east at 10 ms turns strikes the ground will be (g 10 m/s)
right through an angle of 90°. If the speed of the
scooter remains unchanged in taking turn, the (A) tan (B)
change in the velocity of the scooter is
(A) 20.0 ms south eastern direction (C) tan (1) (D) tan (5)
(B) zero
48. The equation of motion of a projectile are given
(C) 10.0 ms in southern direction by x = 36 t metre and 2y = 96 t9.8 t metre.
(D) 14.14 ms in south-west direction The angle of projection is
41. A river is flowing from west to east at a speed of
4 m/min. In what direction should a man on the
(A) sin (B)
south bank of the river, capable of swimming at
8 m/min in still water, swim to cross the river in (C) sin (D) sin
the shortest time?
(A) East- North (B) West - North 49. A body thrown with an initial speed of
(C) South - West North -West
(D) 96 fUs reaches the ground after (g 32 fU/s)
(A) 3s (B) 6s
42. A river is flowing from W to E with a speed of (D) 8s
5 m/min. A man can swim in still water with
a (C) 12s
velocity 10 m/min. In which direction should 50. A bomb is fired from a cannon with a
velocity
the man swim so as to take the shortest possible of 1000 m/s making an angle of 30° with the
path to go to the south ? horizontal. What is the timne taken by the bomb
(A) 30° with downstream to reach the highest point?
(B) 60° with downstream (A) 1ls (B) 23 s
(C) 120° with downstream (D) 51s
(C) 38s
(D) South
same range R for two
51. Aprojectile can have the
43. In a projectile motion, the velocity vector of the angles of projection. If t; and t, are the times of
product of the
projectile is flight in the two cases, then the
(A) always perpendicular to the acceleration. two time of flight is proportional
(B) never perpendicular to acceleration. 1
(B) R?
(C) perpendicular to acceleration two times (A) R
during its flight.
1
(D) perpendicular to acceleration only once
(D) R
(C) R
during its flight.
14
 Chapter 03: Motion in a plane
52. Neglecting the air resistance, the time of flight 59. A ball thrown by one player reaches the other in
of a projectile is determined by 2 s. The maximum height attained by the ball
(A) Vortical above the point of projection will be about
(A) 10 m (B) 7.5 m
(B) (D) 2.5 m
(C) 5m
(C) u=u+u 60. An aeroplane is flying at a constant horizontal
(D) u=u(uat u ) velocity of 600 km/hr at an elevation of 6 km
towards a point directly above the target on the
53. A stone thrown at an angle to the horizontal earth's surface.At an appropriate time, the pilot
reaches a maximum height H. Then the time of releases a ball so that it strikes the target at the
flight of stone will be earth. The ball will appear to be falling
2H 2H (A) on a parabolic path as seen by pilot in the
(A) (B)
plane.
2/2Hsin 2H sin (B) vertically along a straight path as seen by
(C) (D) an observer on the ground near the target.
(C) on a parabolic path as seen by an observer
54. If the range of a gun which fires a shell with on the ground near the target.
(D) on a zig-zag path as seen by pilot in the
muzzle speed v is R, then the angle of elevation
of the gun is plane.
cos 61. A body is projected horizontally from a point
(A) (B) COS
above the ground. The motion of the body is
described by the equations x 2t and y = 5t',
(C) (D) where x and y are the horizontal and vertical
displacements (in m) respectively at time t. The
55.
trajectory of the body is
A boy playing on the roof of a 10 m high (A) a straight line (B) a circle
building throws a ball with a speed of 10 m s (C) an ellipse (D) a parabola
at an angle of 30° with the horizontal. How far
from the throwing point will the ball be at the 62. The trajectory of a projectile fired horizontally
height of 10 mfrom the ground? (g= 10 ms, with velocity u is a parabola given by
cos 30°= V3 (A) y= x? (B) y=-82
sin 30°= 2u3 2u'
2
2.60 m (B) 4.33 m
(A)
(C) 5.20 m (D) 8.66 m
(C) x=y
2u (D) x=-y
2u

56. Aparticle covers 50 m distance when projected 63. If the equation of a projectile is
with an initial speed. On the same surface it y=V3x gx then the angle of projection is
will 'cover a distance, when projected with 2
double the initial speed (A) 80° (B) 60°
(A) 100 m (B) 150m (C) 45° (D) 30o
(C) 200 m (D) 250 m
64. A particle is projected obliquely into air with
57. The acceleration due to gravity on the planet A is velocity of 20 m/s at an angle of elevation of
9 times the acceleration due to gravity on planet 45°. Neglecting air resistance the equation of
B. Aman jumps to a height of 2 mon the surface motion is
of A. What is the height of jump by the same X gx
gx
person on the planet B? (A) y 5 200 (B) 2 400
(A) 18 m (B) 6m
gx*
(C) m (D) m
2
() y-x1 400
(D) yX 200

65. The trajectory of a particle is symmetrical about

58 In a projectile motion, velocity at maximum
height is the perpendicular drawn from the highest point
ucose on x-axis, if the particle performs projectile
(A) (B) u cos motion in xy plane. This is due to
2
(A) velocity of projection of projectile.
usin0 (B) air resistance while performing projectile
(C) 2
(D) none of these.
motion.

15
MHT-CET Triumph Physics (MCQs)
(C) gravitational acceleration which is same
for upward and downward motion.
(A) H (B)
3 3H
(D) angle of projection of projectile. (C) 2H (D) 3H
66. The maximum height attained by projectile is 74. When a body is projected vertically up from th
increased by 10% by changing the angle of
projection, without i changing the speed of ground, its velocity is reduced to of it
projection. The percentage increase in the time
of flight will be initial value at height y above the ground. The
lig (A) 20% coten (B) 15% ictyo maximum height reached by the body is
(C) 10% (D) 5% 3 8y
(A) (B) 9
4y
67. The equation of motion of a projectile is
y = ar - bx where a and b are constants of 9y
(C) 16
(D) 9y
motion. The horizontal range of the projectile is
(A) Va 75. A body is projected at an angle of projection of
(B) 2b 35° with horizontal. To get the same range with
a a the same velocity of projection, the body shoula
aha (C) 2b
(D) also be projected at an angle of
4b
(A) 55° (B) 65o
68. Four balls P, 0, R and S are thrown with equal (C) 70° (D) 80°
velocities at angles of 10, 30°, 45° and 60° 3.4 Uniform circular motion
respectively. Which ball will fall at the
maximum distance? 76. Which of the following statements is false for a
(A) P (B) Q particle moving in a circle with a constant
(C) R (D) S angular speed?
69. A projectile thrown with a speed v at an angle
(A) The velocity vector is tangent to the
circle.
has a range R on the surface of earth. For same The acceleration vector is tangent to the
(B)
vand 0, its range on the surface of moon will be
(A) R6
circle. Ac
(B) 6R (C) The acceleration vector points to the
(C) R/36 (D) 36R centre of the circle.
70. The initial speed of a shell is 140 m/s. At what (D) The velocity and acceleration vectors are
angle must the gun be fired if the projectile is to perpendicular to each other.
strike a target at the same level as the gun? (The 77. A particle covers equal distances around a
gun and the target are 1000 m apart] circular path in equal intervals of time. Which
(A) 45° (B) 30° of the following quantities connected with the
(C) 20° (D) 15o motion of the particle remains constant with
71.
time?
The range of a projectile, when launched at an
angle of 15° with the horizontal is 1.5 km. What (A) Displacement (B) Velocity
(C) Speed (D) Acceleration
is the range of the projectile, when launched at
an angle of 45° with the horizontal? 78. Aparticle performing uniform circular motion
(A) 0.75 km (B) 1.5 km has
(C) 3.0 km (D) 6.0 km (A) radial velocity and radial acceleration.
(B) radial velocity and transverse
72. A ball is kicked at an angle of 30° with the
vertical. If the horizontal component of its acceleration.
transverse velocity and radial
(C)
velocity is 19.6 ms. The maximum height is acceleration.
(A) 135.8 m (B) 58.8 m transverse
(D) transverse velocity and
(C) 39,2 m (D) 60m acceleration.
73. Two stones are projected with the same speed but 79. A particle is moving on a circular path with
making different angles with the horizontal. Their constant speed, then its acceleration will be
ranges are equal. If the angle of projection of one (A) zero.
is and its maximum height is H, then the (B) external radial acceleration.
3 (C) internal radial acceleration.
maximum height of the other is (D) constant acceleration.
16
 Chapter 03: Motion in a plane

Answer Key

Classical Thinking
(D) 6. (D) 7. (D) 8. (A) 9. (B) 10. (D)
1. (A) 2. (C) 3. (D) 4. (A) 5.
11. (A) 12. (B) 13. (A) 14. (D) 15. (D) 16. (B) 17. (A) 18. (C) 19. (B) 20. (C)
21. (D) 22. (A) 23. (D) 24. (C) 25. (A) 26. (C) 27. (C) 28. (B) 29. (C) 30. (A)
31. (D) 32. (B) 33. (D) 34. (B) 35. (D) 36. (A) 37. (C) 38. (C) 39. (A) 40. (A)
41. (D) 42. (D) 43. (D) 44. (C) 45. (A) 46. (D) 47. (D) 48. (A) 49. (C) 50. (C)
S1. (D) 52. (C) 53. (D) 54. (C) 55. (B) 56. (B) 57. (D) 58. (D) 59. (B) 60. (C)
61. (A) 62. (B) 63. (B) 64. (D) 65. (D) 66. (B) 67. (C) 68. (D) 69. (C) 70. (A)
71. (B) 72. (C) 73. (A) 74. (A) 75. (C) 76. (D) 77. (D) 78. (B) 79. (B) 80. (C)
81. (A) 82. (B) 83. (B) 84. (C) 85. (B) 86. (B) 87. (A) 88. (D) 89. (B) 90. (A)
91. (A) 92. (A) 93. (D) 94. (D) 95. (C) 96. (A) 97. (B) 98. (D) 99. (C)

Critical Thinking
1. (B) 2. (D) 3. (C) 4. (B) 5. (B) 6. (C) 7. (C) 8. (D) 9. (A) 10. (A)
Il. (A) 12. (C) 13. (B) 14. (c) 15. (A) 16. (A) 17. (C) 18. (D) 19. (D) 20. (B)
21. (A) 22. (A) 23. (C) 24. (A) 25. (A) 26. (D) 27. (B) 28. (B) 29. (D) 30. (A)
31. (A) 32. (A) 33. (A) 34. (C) 35. (B) 36. (B) 37. (B) 38. (A) 39. (C) 40. (D)
41. (D) 42. (C) 43. (D) 44. (B) 45. (C) 46. (B) 47. (A) 48. (A) 49. (B) 50. (D)
51. (D) 52. (A) 53. (B) 54. (D) 55. (D) 56. (C) 57. (A) 58. (B) 59. (C) 60. (C)
61. (D) 62. (A) 63. (B) 64. (C) 65. (C) 66. (D) 67. (A) 68. (C) 69. (B) 70. (D)
71. (C) 72. (B) 73. (A) 74. (©) 75. (A) 76. (B) 77. (C) 78. (C) 79. (C) 80. (A)
81. (B) 82. (D) 83. (D) 84. (D) 85. (C) 86. (D) 87. (D) 88. (D) 89. (B) 90. (A)
91. (A) 92. (A) 93. (D) 94. (C) 95. (A) 96. (A) 97. (B) 98. (C) 99, (A) 100. (C)
101. (D) 102. (B) 103. (B) 104. (C) 10. (B) 106. (B) 107. (C) 108. (B) 109. (A) 110. (B)
111. (D) 112. (A) 113. (D) 114. (B) 115. (B) 116. (B) 117. (B) 118. (B) 19. (A) 120. (D)
121. (C) 122. (A) 123. (C) 124. (A) 125. (C) 126. (A) 127. (B) 128. (A) 129. (A) 130. (B)
131. (A) 132. (C) 133. (C) 134. (A) 135. (C) 136. (D) 137. (D) 138. (B) 139. (D) 140. (B)
141. (C) 142. (A) 143. (B) 144. (B) 145. (C) 146. (C)

Competitive Thinking
1. (C) 2. (A) 3. (C) 4. (C) 5. (B) 6. (C) 7. (A) 8. (A) 9. (A) 10. (B)
11. (B) 12. (C) 13. (A) 14. (A) 15. (D) 16. (A) 17. (C) 18. (A) 19. (D) 20. (C)
21. (B) 22. (A) 23. (D) 24. (B) 25. (B) 26. (B) 27. (B) 28. (B) 29. (C) 30. (C)
31. (C) 32. (A) 33. (A) 34. (C) 35. (B) 36. (A) 37. (A) 38. (A) 39. (B) 40. (D)
41. (D) 42. (B) 43. (B) 44. (C) 45. (A) 46. (C) 47. (D) 48. (D) 49. (C) 50. (D)
51. (C) 52. (D) 53. (C) 54. (A) 55. (B) 56. (A) 57. (A) 58. (A) 59. (B) 60. (C)
61. (B) 62. (B) 63. (D) 64. (C) 65. (A) 66. (C) 67. (C) 68. (B) 69. (A) 70. (A)
71. (A) 72. (D) 73. (D) 74. (B) 75. (A) 76. (B) 77. (C) 78. (B) 79. (C) 80. (C)
81. (B) 82. (C) 83. (D) 84. (B) 85. (B) 86. (B) 87. (D) 88. (D) 89. (C) 90. (A)
91. (A) 92. (D) 93. (A)

31