The absolute temperature of air in a region linearly increases from T1 to T2 in a space of width d. Find the time taken by a sound wave to go through the region in terms of T1, T2, d and the speed u of sound at 273 K. Evaluate this time for T1 = 280 K, T2 = 310 K, d =33m and u = 330 m s-1.

Given:
The absolute temperature of air in a region increases linearly from
to in a space of width .



The speed of sound
at 273 K is .



is the velocity of the sound at temperature .



Let us find the temperature variation at a distance
in the region.



Temperature variation is given by:











--------------- (i)


Evaluating this time:
Initial temperature
= 280 K
Final temperature
= 310 K
Space width
d = 33 m


On substituting the respective values in the above equation, we get:



1