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Q.

A particle of mass m moving with a velocity u makes an elastic one dimensional collision with a stationary particle of mass m establishing a contact with it for extremely small time T. Their force of contact increases from zero to F0 linearly in time T4, remains constant for a further time T2 and decreases linearly from F0 to zero in further time T4 as shown. The magnitude possessed by F0 is

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a

muT

b

2muT

c

4mu3T

d

3mu4T

answer is C.

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Detailed Solution

Change in momentum = Impulse 
= Area under force-time graph
 mv= Area of trapezium 
mv=12T+T2F0
mv=3T4F0F0=4mu3T

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