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In the system shown in figure, mass $m$ is released from rest from position A. Suppose potential energy of $m$ at point A with respect to point B is E. Size of $m$ is negligible and all surfaces are smooth. When mass $m$ reaches at point B

Column-I Column-II
A) Kinetic energy of $m$ P) $\frac{E}{3}$
B) Kinetic energy of $2 m$ Q) $\frac{2 E}{3}$
C) Momentum of $m$ R) $\sqrt{\frac{4 m E}{3}}$
D) Momentum of $2 m$ S) $\sqrt{\frac{2 m E}{3}}$

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$A \to (p); B \to (q); C \to (r); D \to (s)$

$A \to (q); B \to (p); C \to (r); D \to (r)$

$A \to (s); B \to (p); C \to (r); D \to (q)$

$A \to (r); B \to (s); C \to (p); D \to (q)$

answer is B.

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Detailed Solution

$A \to (q); B \to (p); C \to (r); D \to (r)$

Apply conservation of linear momentum in horizontal direction and conservation of mechanical energy

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