Two identical balls and , each of mass 2 kg and radius , are suspended vertically from inextensible strings as shown in Fig. The third ball of mass 1 kg and radius falls and hits and symmetrically with 10 m/s. Speed of both and just after the collision is 3 m/s

Speed of just after collision is |
|||||||

a) |
2 m/s |
b) |
m/s |
c) |
5 m/s |
d) |

Two identical balls and , each of mass 2 kg and radius , are suspended vertically from inextensible strings as shown in Fig. The third ball of mass 1 kg and radius falls and hits and symmetrically with 10 m/s. Speed of both and just after the collision is 3 m/s

Speed of just after collision is |
|||||||

a) |
2 m/s |
b) |
m/s |
c) |
5 m/s |
d) |

1 Answer

5876 Votes

3537

**(a)**

First calculate, As the ball and are constrained to move horizontally (immediately after collision), if ‘ ’ be the impulse imparted by ball ‘ ’ to each of and , the impulse received by ball from them would be

Now, each of ball and received impulse ‘ ’ as shown in Fig., but moves horizontally as its vertical comp. gets balanced by impulse imparted to ball and by the respective strings and hence,

magnitude of impulse)

Now, for ball , if its final velocity is downwards, we have

sign indicates that it is directed upwards)

The power of a lens is + 2.0 D. Its focal length would be |
|||||||

(a) |
100 cm |
(b) |
50 cm |
(c) |
25 cm |
(d) |
40 cm |

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