1.

A pendulum consists of a wooden bob of mass `m` and length `l`. A bullet of mass `m_(1)` is fired towards the pendulum with a speed `v_(1)`. The bullet emerges out of the bob with a speed of `(v_(1))//3` and the bob just completes motion along a vertical circle, then `v_(1)` isA. `m/m_(1)sqrt5gl`B. `(3m)/(2m_(1))sqrt(5gl)`C. `2/3(m/m_(1))sqrt(5gl)`D. `(m_(1)/m)sqrt(gl)`

Answer» Correct Answer - B
From conservation of linear momentum,
`m_(1)v_91) = msqrt5gl) + m_(1)(v_(1)/3)` or `v_(1) = 3/2m/m_(1)sqrt(5gl)`


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