A particle of mass \( m \) moving with a velocity \( v \) makes an elastic one dimensional colli...

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A particle of mass \( m \) moving with a velocity \( v \) 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 \( F_{0} \) linearly in time \( T / 4 \), remains constant for a further time \( T / 2 \) and decreases linearly from \( F_{0} \) to zero in further time \( T / 4 \) as shown in figure. The magnitude possessed by \( F_{0} \) is
(1) \( \frac{m u}{T} \)
(2) \( \frac{2 m u}{T} \)
(3) \( \frac{4 m u}{3 T} \)
(4) \( \frac{3 m u}{4 T} \)
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