# 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

## Question ID - 101215 :- 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

3537

Answer Key : (c) -

(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

Next Question :

Two blocks of equal mass  are connected by an unstretched spring and the system is kept at rest on a frictionless horizontal surface. A constant force is applied on the first block pulling away from the other as shown in Fig.

 Then the displacement of the centre of mass  at time  is a) b) c) d)