A bullet of $10\, {g}$, moving with velocity $v$, collides head-on with the stationary bob of a pendulum and recoils with velocity $100 \, {m} / {s}$. The length of the pendulum is $0.5\, {m}$ and mass of the bob is $1\, {kg}$. The minimum value of $v=$ $....{m} / {s}$ so that the pendulum describes a circle. (Assume the string to be inextensible and ${g}=10\, {m} / {s}^{2}$ )
A bullet of $10\, {g}$, moving with velocity $v$, collides head-on with the stationary bob of a pendulum and recoils with velocity $100 \, {m} / {s}$. The length of the pendulum is $0.5\, {m}$ and mass of the bob is $1\, {kg}$. The minimum value of $v=$ $....{m} / {s}$ so that the pendulum describes a circle. (Assume the string to be inextensible and ${g}=10\, {m} / {s}^{2}$ )
- [JEE MAIN 2021]
- A
$1000$
- B
$400$
- C
$100$
- D
$10$
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- [AIEEE 2005]
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