. A 160 m long train is moving north at a
speed of 15 m/s. A bird flying south at a
speed of 5 m/s crosses the train. The time
taken by the bird to cross the train is
(a) 8 s (b) 11.2 s
(c) 15.8 s (d) 56 s
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1
if the frame of referance is taken w.r.t. bird
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Answer: 8 s [ Opt. A ]
Step by step explanation:
Given:
Distance to be covered by the bird: 160 m
Speed of train: 15 m/s
Speed of bird: 5 m/s
To find: time taken by the bird to cross the train
Considering the train with respect to the bird:
Velocity of the bird: 5m/s
Velocity of train: -15 m/s [ As the train is moving in the opposite direction ]
So,
Velocity = 5 - (-15) = 20 m/s
As we have to calculate the time taken by the bird to cross the train,
Time = Distance/Speed
= 160/20
= 8 s
Thus, time taken by the bird to cross the train is 8 seconds [ Opt. a ]
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