A spherical ball of mass \( M \) moving with initial velocity \( u \) collides elastically with ...

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A spherical ball of mass \( M \) moving with initial velocity \( u \) collides elastically with another ball of mass \( M \), which is fixed at one end of \( L \) shaped rigid massless frame as shown in Fig. (a).
(b)
The \( L \) shaped frame contains another mass \( M \) connected at the other end.
How soon will the frame come to the orientation shown in Fig. (b) after collision?
(1) \( \frac{\pi l}{4 u} \)
(2) \( \frac{7 \pi l}{8 u} \)
(3) \( \frac{\pi l}{u} \)
(4) \( \frac{7 \pi l}{4 u} \)
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