Daily Practice Test
1.    Which of following pair of forces can be added to give a resultant of 5N
      a) 2N and 8N        b) 3N and 10N    c) 2N and 6N              d) 10N and 20N
2.    A force has magnitude 20N. It’s one rectangular component is 12N, the other
      rectangular component must be
      a) 8 N        b) 14N          c) 16N          d) 32N
3.    The following sets of 3 vectors act on a body whose resultant cannot be zero
      a) 10,10,10         b) 10,10,20      c) 10,20,20               d) 10,20,30
4.    Forces of 3N, 4N and 12N act on a particle in mutually perpendicular direction, the
      resultant force is
      a) 19N        b) 13N          c) 5N           d) 17N
5.    A particle is moving on a circular path with constant speed v. The change in its velocity
      after it has described an angle of 600 is
      a) √2v        b) v c) 2v             d) 0
6.    The components of the sum of two vectors 2i + 3j and 2j + 3k along x and y directions
      respectively are
      a) 2 and 5    b) 4 and 6 c) 2 and 6           d) 4 and 3
7.    The angle between two vectors -2i + 3j + k and i + 2j – 4k is
      a) 00         b) 900     c) 1800              d) None of above
8.    The magnitude of the vector product of two vectors is √3 times their scalar product.
      The angle between the two vectors is
      a) π/2        b) π/6     c) π/3               d) π/4
9.    If F = i + j + k and displacement S = 3i + 2j + 5k, then work done by force is
      a) 0                b) 10 unit c) 50 unit               d) 8 unit
10.   Find the torque of a force F = -3i + j + 5k acting at the point r = 7i + 3j + k
      a) 14i – 38j + 16k b) 4i+4j+6k          c) -21i+4j+4k   d) -14i+34j-16k
11.   What are the dimension of angular displacement
      a) [L]                           b)[M°LT-1]     c) [L2]                 d)None
12.   “Light Year” is the unit of
      a) Length                      b) Velocity      c) Time               d) Momentum
13.   Which of the following is not a vector quantity
      a) angular momentum                   b) magnetic intensity
      c) torque                             d) energy
14.   If 𝐴⃗, 𝐵⃗, 𝐶⃗have magnitude 6,8 and 10 respectively,𝐴⃗ + 𝐵⃗ + 𝐶⃗ = 0angle between A and B is
      a) 0°              b) 90°      c) 45°       d) 180°
15.   The sum of two unit vector is a unit vector. Then their difference will be
      a) 2                      b)√3
      c)√2                       d)Zero
16.   Which of the following is odd one?
      a) Electric field       b) Magnetic field
      c)Electric dipole            d) Potential
17.   Which of the following is scalar?
      a. Electric field       b. Electric flux
      c. Electric potential        d. both (b) and (c)
18.   Which is the dot product of two vectors?
      a. torque        b. force
      c. electric current d. angular momentum
                                                                                       
19.   If A points vertically upwards and B points towards north then the direction of A ×
       
      B is
      a. Along east           b. Along west
      c. Vertically downwards d. Along south
20. The resultant of 5N and 10N can never be
    a. 12N        b. 5N
    c. 10N        d. 4N
21. Two equal vectors have a resultant equal to either. The angle between them is.
    a. 60°        b. 90°           c. 100°           d. 120°
22. Wind is blowing from south at 10 m/s but to a cyclist it appears to be blowing from
    east at 10m/s. The cyclist has a velocity.
                                                                  
    a. 10 i –10 j b.    10 i +10 j         c. –10 i +10 j    d. –10 i –10 j
                                                                                  
23. A force F = 5 i –3j +2k acts on a point mass and the mass moves from position r1 =2 i
                                 
    +7j +4k to position r2 =5 i +2j +3k. The work done is
      a. 0 units              b.   11 units                       c. 28 units   d. –22 units
                                     
24.The resultant of two vectors a and b acting at angle  bisects the angle between them.
    Then
      a. a=2b      b. a=b     c. a= 3 b                    d. a= 2 b
                                       
25. If A .B =|A × B |, then magnitude of (A +B ) is
      a.   A 2 + B2           b.   A+B
                                                      AB
      c.   A 2 + B2 +   2AB        d.    A 2 + B2 +
                                                       2
                                              
26. The vector which is perpendicular to F = 4 i –3j is
                                
a.   4 i +3 j  b. 6 i   c. 7k  d. 3 i +4 j
                     
27. If a vector 3 i +4j is rotated through 90°, then new vector will be
                                                  
a.   –3 i +4 j  b. 3 i –4 j      c.4 i –3 j        d. 4 i +3 j
28. A person moves 30m north, then 20m east and finally 30 2 m south west. Then total
     displacement from initial position is.
a.   30m east b. 20m west
c.    10m east d. 10m west
29. A particle is moving eastward with velocity 5m/s. The velocity of body changes to 5m/s
     northwards in 10 seconds. The average accn is
     1                  1
a.     m/s2 east   b.      m/s2 north west
     2                   2
      1                       1
c.       m/s2 west d.            east
       2                       2
30. Length of second hand in watch in 10ms then the change in its velocity in 15 sec is
                        
a.   0            b.        cm/s
                      30 2
                        2
c.       cm/s      d.       cm/
      30                30