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        A man beats drum at a certain distance from a large mountain. He slowly increases the rate of beating and finds that the Echo is not heard distinctly when the drum beating is at the rate of 40 per minute. he moves by 80m toward the mountain and finds that the Echo is again not heard distinctly when the rate of the beating of the drum is 1 per second what is the initial distance of the man from the mountain? (1)120m;(2)240m;(3)270m;(4)340m
3 months ago

Arun
8936 Points
							Please find below the solution to the asked query:Case I. When the rate of drum beating is 40 per minuteTherefore, the interval between two drum beats = 60/40 = 1.5 sLet the distance between the mountain and the man be x m.Speed of sound, v=2xt=2x1.5=4x3   .....(1)Case II. When the man moves 80 m towards the mountainSpeed of sound, v=2(x−80)t=2(x−80)1=2x−160   .....(2)From eq. (1) and (2),2x−160=4x3⇒6x−480=4x⇒2x=480⇒x=240 mHope this information will clear your doubts about the numerical on echo.

3 months ago
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