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