Question

the kinetic energy of a body becomes four times of its initial value the new linear momentum will be a)same as initial momentum b)four times c)two times d)eight times

Answer 1

momentum is proportional to kinetic energy. so the ans is C

Answer 2

Answer:

Let us consider a body of mass m.

Let the body is moving with velocity v.

The kinetic energy of the body    

The momentum of the body [ P] = m×v

  We know    

     [ ∵m and 2 are constants]

As per the question, K.E is increased by 4 times.

Hence, from above it is obvious that momentum P will be increased by 2 times.