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A person places his ear at the end of a long steel pipe. He hears two distinct sounds at an interval of `0.5 s` when another person hammers at the other end of the pipe. If the speeds of sounds in metal and air are `3630 m//s and 330 m//s` respectively, find the distance between the two persons.

Text Solution

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If `d` is the distance between the two persons,
`(d)/(330) - (d)/(3630) = 0.5 s`
or `(d)/(330) [1 - (1)/(11)] = (1)/(2)`
or `(d)/(330) xx (10)/(11) = (1)/(2)`
or `d = ((1)/(2) xx 330 xx (11)/(10)) m = 181.5 m`.
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