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WB JEE 2025
MCQ (More than One Correct Answer)
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Two spheres $S_1$ and $S_2$ of masses $m_1$ and $m_2$ respectively collide with each other. Initially $S_1$ is at rest and $S_2$ is moving with velocity $v$ along $x$-axis. After collision $S_2$ has a velocity $\frac{v}{2}$ in a direction perpendicular to the original direction. The sphere $S_1$ moves after collision

A
with a velocity of magnitude $\frac{m_2}{m_1} v \frac{\sqrt{5}}{2}$.
B
with a velocity in the direction $\theta=\tan ^{-1}\left(-\frac{1}{3}\right)$ to the $x$-axis.
C
with a velocity whose direction makes an angle $\theta$ with the $x$-axis such that $\theta=\tan ^{-1}\left(\frac{1}{2}\right)$ or $\theta=\tan ^{-1}\left(-\frac{1}{2}\right)$.
D
with a velocity of magnitude $\frac{m_1}{2 m_2} v \sqrt{5}$.
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