Statement – I : A point particle of mass m moving with speed v collides with stationary point particle of mass M . If the maximum energy loss possible is given as f (1/2mv^2) , then f = m/M+m .Statement – II : Maximum energy loss occurs when the particles get stuck together as a result of the collis

1. Maximum energy loss occurs in a perfectly inelastic collision (particles stick together). Statement II is True.2. In a perfectly inelastic collision:Momentum conservation: mv = (M+m)V V = m v/M+m .3. Final KE: K_f = 1/2(M+m)V^2 = 1/2(M+m) m^2 v^2/(M+m)^2 = m/M+m (1/2mv^2) .4. Energy loss: K = K_i - K_f = 1/2mv^2 - m/M+m (1/2mv^2) K = (1/2mv^2) [ 1 - m/M+m ] = (1/2mv^2) M/M+m .So f = M/M+m .Statement I says f = m/M+m , which is False.

Statement – I : A point particle of mass m moving with speed v collides with stationary point particle of mass M . If the maximum energy loss possible - Physics MCQ JEE Main 2026 | ExamTest.live

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Statement - I : A point particle of mass m moving with speed v collides with stationary point particle of mass M . If the maximum energy loss possible is given as f (\frac{1}{2} m v^{2}), then f = \frac{m}{M + m} .Statement - II : Maximum energy loss occurs when the particles get stuck together as a result of the collision.

A $Statement - I is true, Statement - II is true, Statement - II is not a correct explanation of Statement - I.$
B $Statement - I is true, Statement - II is false.$
C $Statement - I is false, Statement - II is true$
D $Statement - I is true, Statement - II is true, Statement - II is a correct explanation of Statement - I.$

Solution & Step-by-step Explanation

1. Maximum energy loss occurs in a perfectly inelastic collision (particles stick together). Statement II is True.2. In a perfectly inelastic collision:Momentum conservation: m v = (M + m) V \Rightarrow V = \frac{m v}{M + m} .3. Final KE: K_{f} = \frac{1}{2} (M + m) V^{2} = \frac{1}{2} (M + m) \frac{m ^{2} v ^{2}}{( M + m ) ^{2}} = \frac{m}{M + m} (\frac{1}{2} m v^{2}) .4. Energy loss: Δ K = K_{i} - K_{f} = \frac{1}{2} m v^{2} - \frac{m}{M + m} (\frac{1}{2} m v^{2}) Δ K = (\frac{1}{2} m v^{2}) [1 - \frac{m}{M + m}] = (\frac{1}{2} m v^{2}) \frac{M}{M + m} .So f = \frac{M}{M + m} .Statement I says f = \frac{m}{M + m}, which is False.

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Statement - I : A point particle of mass m moving with speed v collides with stationary point particle of mass M . If the maximum energy loss possible is given as f (\frac{1}{2} m v^{2}), then f = \frac{m}{M + m} .Statement - II : Maximum energy loss occurs when the particles get stuck together as a result of the collision.

Statement - I is true, Statement - II is true, Statement - II is not a correct explanation of Statement - I.

Statement - I is true, Statement - II is false.

Statement - I is false, Statement - II is true

Statement - I is true, Statement - II is true, Statement - II is a correct explanation of Statement - I.

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