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A man standing in front of a mountain be...

A man standing in front of a mountain beats a drum at regular intervals. The drumming rate is gradually increased and he finds that echo is not heard distinctly when the rate becomes `40` per minute. He then moves near to the mountain by `90` metres and finds that echo is again not heard distinctly when the drumming rate becomes `60` per minute. Calculate (a) the distance between the mountain and the initial position of the man and (b) the velocity of sound.

Text Solution

Verified by Experts

The correct Answer is:
3
`(2S)/(v)=(60)/(40) ...(1)`
`(2(S-90))/(v)=1 ....(2)`
on solving `S=270m`
`:. (270)/(90)=3`
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