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Three persons P(1), P(2) and P(3) are at...

Three persons `P_(1), P_(2)` and `P_(3)` are at different points A, B and C, respectively as shown in the figure. Two persons `P_(1)` and `P_(3)` clap at the same time. Which among the following can be the minimum distance between `P_(2)` and `P_(3)` to hear the clap sound distinctly by `P_(2)`? (Take the velocity of sound in air as `330 ms^(-1)`)

A

330 m

B

384 m

C

363 m

D

660 m

Text Solution

Verified by Experts

The correct Answer is:
C
Velocity of sound, `v = 330 m s^(-1)`
Distance between `P_1 and P_2 = 330 `m
So, time taken to hear the sound
` t= (330 )/(330 ) =1s`
Human ear can hear two sounds separately only if they reach at an interval of 1/10 of a second. So, the time taken by the sound from `P_3` to reach `P_2` is minimum of `1+(1)/(10) = 1.1 s`.
So, the distance between `P_2 and P_3 = t xx v = 1.1 xx 330 = 363 `m.
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