A block \( A \) of mass \( M_{A}=1 \mathrm{~kg} \) is kept on a smooth horizontal surface and at...
0A block \( A \) of mass \( M_{A}=1 \mathrm{~kg} \) is kept on a smooth horizontal surface and attached by a light thread to another block \( B \) of mass \( M_{B}=2 \mathrm{~kg} \). Block \( B \) is mass \( M_{B}=2 \mathrm{~kg} \). Block \( B \) is resting on ground, and thread and pulley are massless and frictionless. A bullet of mass \( m=0.25 \mathrm{~kg} \) moving horizontally with velocity of \( u=200 \mathrm{~m} / \mathrm{s} \) penetrates through block \( A \) and comes out with a velocity of
B \( 2 \mathrm{~kg} \)
\( 100 \mathrm{~m} / \mathrm{s} \).
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ Column I } & \multicolumn{1}{c|}{\begin{tabular}{c}
\multicolumn{1}{c|}{ Column II } \\
(Values are in their \\
respective SI units)
\end{tabular}} \\
\hline i. Velocity of the \( 2 \mathrm{~kg} \) block just after the bullet comes out & a. \( 50 / 3 \) \\
\hline ii. Maximum displacements of \( 1 \mathrm{~kg} \) block in left direction & b. 25 \\
\hline iii. Impulse by the string on block \( B \) & c. \( 25 / 3 \) \\
\hline iv. Impulse by the particle on block \( A \) & d. \( 5.2 \) \\
\hline
\end{tabular}
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