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JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
This question has statement \(1\) and statement \(2\) . Of the four choices given after the statements, choose the one that best describes the two statements.
Statement \(- 1\): A point particle of mass m moving with speed \(u\) collides with stationary point particle of mass \(M\). If the maximum energy loss possible is given as \(f\) \(\left( {\frac{1}{2}m{v^2}} \right)\) then \( f = \left( {\frac{m}{{M + m}}} \right)\) Statement \(-2\): Maximum energy loss occurs when the particles get stuck together as a result of the collision.
- A Statement \(-1\) is true, Statement \(-2\) is true ; Statement \(-2\) is the correct explanation of Statement \(-1\)
- B Statement \(-1\) is true, Statement \(-2\) is true ; Statement \(-2\) is not the correct explanation of Statement \(-1\)
- C Statement \(-1\) is false, Statement \(-2\) is true
- D Statement \(-1\) is true, Statement \(-2\) is false
Answer & Solution
Correct Answer
(C) Statement \(-1\) is false, Statement \(-2\) is true
Step-by-step Solution
Detailed explanation
Maximum energy loss \(=\frac{{{P^2}}}{{2m}} - \frac{{{P^2}}}{{2\left( {m + M} \right)}}\) \(\left[ {\because \,K.E. = \frac{{{P^2}}}{{2m}} = \frac{1}{2}m{v^2}} \right]\)…
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