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

Three persons `P_(1), P_(2)`, and `P_(3)` are at three different points A, B and C as shown in the figure. `P_(1)` and `P_(2)` clap at the same time. For `P_(3)` to hear two distinct claps, the minimum distance between `P_(1)` and `P_(2)` should be _______ m. (The velocity of sound in air is `330 ms^(-1)`)

A

33

B

330

C

36.3

D

660

Text Solution

Verified by Experts

The correct Answer is:
A

Human ear can hear two sounds separately only if they reach the ear after an interval of (1/10) of a second. So, the time taken by the sound from `P_1 `to `P_2` should be greater than (1/10) s = 0.1 s. The minimum distance between `P_1` and `P_2 = v xx 1 = 330 xx 0.1 = 33 m`.
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