A pendulum has a frequency of 5 vibrations per second. An observer starts the pendulum and fires a gun simultaneously .He hears the echo from the cliff after 8 vibrations of the pendulum .if the velocity of sound in air is 340m/s find the distance between the cliff and the observer?
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Time taken for 1 vibration = 1/5 s
Time taken for 8 vibrations = 8/5 s
We know,
2d = vt
Therfore,
D= vt/2 [where d= distance between the observer and the cliff]
V = velocity of sound
T= time taken for the sound to go and return
D = (340 * 8 / 5*2) m
D = 272 m
So the distance between the cliff and observer is 272
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