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Assume that temperature varies linearly ...

Assume that temperature varies linearly with height near the Earth's surface. Considering temperature at the surface of the Earth `T_1` and `T_2` at a height h above the surface, calculate the time t needed for a sound wave produced at a height. x. to reach the Earth's surface. Velocity of sound at the Earth's surface is c.

A

`t = (2h)/c sqrt(T_(1))/(T_(2)-T_(1))[sqrt(T_(1)) - sqrt((T_(2)-T_(1))/h) xx + T_(1)]`

B

`t =(2h)/c sqrt(T_(1))/(T_(1)-T_(2)) [sqrt(T_(1)) - sqrt((T_(2)-T_(1))/h xx + T_(1))]`

C

`t =(3h)/c sqrt(T_(1))/(T_(2)-T_(1)) [sqrt(T_(1)) - sqrt((T_(2)-T_(1))/h xx + T_(1)]]`

D

`t = (6h)/c sqrt(T_(1))/(T_(2)-T_(1)) [sqrt(T_(1)) - sqrt((T_(2)-T_(1))/hx xx T_(1)]]`

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The correct Answer is:
B
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