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If temperature varies linearly with height near the earth’s surface.Temperature at the surface of earth is T 1 &T 2 at a height h above the surface,calculate time’t’ when asound wave is produced at a height’x’.velocity of sound at earth’s surface is ‘c’.

If temperature varies linearly with height near the earth’s surface.Temperature at the surface of earth is T1&T2 at a height h above the surface,calculate time’t’ when asound wave is produced at a height’x’.velocity of sound at earth’s surface is ‘c’.

Grade:12

1 Answers

Saurabh Kumar
askIITians Faculty 2411 Points
7 years ago
Velocity (dx/dt) of longitudinal wave is directly proportionbal to the underroot of temperature.
Consider the temperature gradient (Tx = Ti + (Ti – Tf .x/L))at any length ‘x’ from one end.
Heat flows from highr temperature to lower temperature.
Put the value of Tx in the velocity equation which is the function of ‘x’ and calculate the time.


Good Luck.....

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