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Question

A man is lying on the floor of a large, empty hemispherical hall, in such a way that his head is at the centre of the hall. He shouts "Hello!" and hears the echo of his voice after 0.2s. What is the radius of the hall?

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Solution

Given,
Time period T=0.2Sec
Velocity of sound V=340m/s
Radius of the hall d=?
Distance travel by the sound 2d
since, 2d=Vt

d=340×0.22=34m

Hence, the Radius of hemispherical hall is 349m

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