Two blocks of masses \( 3 \mathrm{~kg} \) and \( 6 \mathrm{~kg} \) rest on a horizontal smooth s...

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Two blocks of masses \( 3 \mathrm{~kg} \) and \( 6 \mathrm{~kg} \) rest on a horizontal smooth surface. The \( 3 \mathrm{~kg} \) block is attached to a spring with a force constant \( k=900 \mathrm{Nm}^{-1} \) which is compressed \( 2 \mathrm{~m} \) from the equilibrium position as shown in figure- The \( 6 \mathrm{~kg} \) mass is at rest at \( 1 \mathrm{~m} \) from mean position. \( 3 \mathrm{~kg} \) mass strikes the \( 6 \mathrm{~kg} \) mass and the two stick together :
(A) Velocity of the combined masses immediately after the collision is \( 10 \mathrm{~ms}^{-1} \)
(B) Velocity of the combined masses immediately after the collision is \( 5 \mathrm{~ms}^{-1} \)
(C) Amplitude of the resulting oscillation is \( \sqrt{2} \mathrm{~m} \)
(D) Amplitude of the resulting oscillation is \( \sqrt{5 / 2} \mathrm{~m} \).
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