Two beads and of masses and , respectively, are threaded on a smooth circular wire of radius fixed in a vertical plane. is stationary at the lowest point when is gently dislodged from rest at the highest point. collided with at the lowest point. The impulse given to due to collision is just great enough to carry it to the level of the centre of the circle while is immediately brought to rest by the impact

Find the ratio |
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a) |
1 |
b) |
c) |
d) |
2 |

Two beads and of masses and , respectively, are threaded on a smooth circular wire of radius fixed in a vertical plane. is stationary at the lowest point when is gently dislodged from rest at the highest point. collided with at the lowest point. The impulse given to due to collision is just great enough to carry it to the level of the centre of the circle while is immediately brought to rest by the impact

Find the ratio |
|||||||

a) |
1 |
b) |
c) |
d) |
2 |

1 Answer

127 votes

**(c)**

Just before collision, velocity of

Just after collision, is brought to rest and let velocity of be

From conservation of linear momentum, (i)

Now so that can rise up to point

Putting the value of and en Eq. (i), we get

127 votes

127