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Total Questions : 421 | Page 7 of 43 pages
Question 61.

In previous problem, find work done by lower block on upper block in the frame of lower block


  1.    - 1 joule
  2.    - 2 joule
  3.    2 joule
  4.    zero
 Discuss Question
Answer: Option D. -> zero

The relative displacement of upper block with respect to lower block is zero. Hence work done on upper block in the frame of lower block will be zero.


Question 62.

If a man having bag in his hand moves up on a stair . Then


  1.    the work done by lifting force is zero
  2.    the work done by lifting force is non -zero with respect to ground.
  3.    the work done by lifting force is zero with respect to ground
  4.    the work done with respectt to ground is same as that of with respect to him.
 Discuss Question
Answer: Option B. -> the work done by lifting force is non -zero with respect to ground.

The displacement of bad is in opposition of force of gravity , So work is done by lifting force against gravitational force .


Question 63.

A body of mass 1 kg moves from point A(2 m, 3 m, 4 m) to B ( 3 m, 2 m, 5 m) . During motion of body , a force

`vec(F) = (2n) hat(i) - (4N) hat(j )` acts on it. The work done by the force on the particle during displacement is


  1.    `2 hat(i) - 4 hat (j)`
  2.    2 joule
  3.    - 2 joule
  4.    none of these.
 Discuss Question
Answer: Option C. -> - 2 joule

The displacement of body is

          `vec(AB) =  vec (r_B) - vec( r_A)`

           = `(3 hat(i) + 2 hat (j) + 5hat(k)) - (2hat (i) + 3hat (j) + 4hat(k))`

          = `hat(i) - hat(j) + hat (k)`

`:.`       W = `vec(F) * vec(AB)`

                 =  `(2 hat(i) - 4hat(j)) * ( hat(i) - hat(j) + hat(k))`

                = 2 - 4 = - 2 joule.     



Question 64.

Work done during raising a box on to a platform


  1.    depends upon how fast it is raised
  2.    does no depend upon how fast itis raised
  3.    does not depend upon mass of the box
  4.    both (A) and (B) are correct
 Discuss Question
Answer: Option B. -> does no depend upon how fast itis raised

The work done by constant force  does no depend upon path followed by body . It depends only upon initial and final position . Hence , (B) is correct .


Question 65.

In previous problem Q. (1) , the work done by normal reaction is


  1.    20 joule
  2.    196 joule
  3.    zero
  4.    none of these
 Discuss Question
Answer: Option C. -> zero

`because `       w =` vec(F) * vec(s) = vec(N) * vec(s)`

                           = Ns cos `90^circ = 0`



Question 66.

A body of mass 10 kg is moving on a horizontal surface by applying  a force of 10 N in forward direction . If body moves with constant velocity . Find the work done by applied force for a displacement of 2 m ?


  1.    20 joule
  2.    10 joule
  3.    30 joule
  4.    40 joule
 Discuss Question
Answer: Option A. -> 20 joule

The work done by constant force is given by

  ` w = vec(F) * vec(s) =  Fs cos theta = Fs cos 0`

           = 10 x 2 = 20 joule.


Question 67.

A particle of mass m is moving in a horizontal circle of radius r under a centripetal force given by `( -k/r^2)`, where k is a constant, them


  1.    the total energy of the particle is `-((k)/(2r))`
  2.    the kinetic energy of the particle is `(k/r)`
  3.    the potential energy of the particle is `((k)/(2r))`
  4.    the kinetic energy of the particle is `( - k/r)`
 Discuss Question
Answer: Option A. -> the total energy of the particle is `-((k)/(2r))`

Centripetal force = `(mv^2)/(r) =  k/r^2`

`:.`           `mv^2 = k/r`

`:.`   Kinetic energy is `1/2 mv^2 = (k)/(2r)`

`:.`               `F = - (k)/(2r),                      F = (du)/(dr)`

At infinity , potential energy is zero

`:.`           `int_u^0    du = - int _r^oo   Fdr`

`:.`           `u = - k [ - 1/r]_r^oo = - k/r`

`:.`       Total energy = `K.E. + u`

                                 = `(k)/(2r) - k/r = - (k)/(2r)`       


Question 68.

A particle moves on a curved path with constant speed  v. The acceleration of the particle at `x` = 0 is  `2av^2` . he path of particle is


  1.    dtraight line
  2.    parabolic
  3.    elliptcal
  4.    none of these
 Discuss Question
Answer: Option B. -> parabolic


Question 69.

Kinetic energy of a particle moving along a circle of radius R depends on the distance covered as `T = ks^2` where k is a constant . Find the force acting on the  particle as a function of s 


  1.    `(2k)/(s) sqrt(1 + (s/R)^2)`
  2.    `2ks sqrt(1 + (R/s)^2)`
  3.    `2ks sqrt(1 + (s/R)^2)`
  4.    `(2s)/(k) sqrt(1 + (R/s)^2)`
 Discuss Question
Answer: Option C. -> `2ks sqrt(1 + (s/R)^2)`


Question 70.

A particle of mass m is attached o one end of a string of length  `l` while the other end is fixed to a point `h` above the horizontal table , the  particle is made to revolve in a circle on the table , so as to make  `p` revolution  per second. The maximum value of p if the particle is to be in contact with the table will be :


  1.    `2psqrt(gh)`
  2.    `sqrt((g/h))`
  3.    `2psqrt((h/g))`
  4.    `(1)/(2 pi) sqrt((g/h))`
 Discuss Question
Answer: Option D. -> `(1)/(2 pi) sqrt((g/h))`


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