The pressure wave, P = 0.01 sin ⁡ 1000 t - 3 x N m – 2 , corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is 0 ° C . On some other day when temperature is T

Question

The pressure wave, P = 0.01 sin ⁡ 1000 t - 3 x N m – 2 , corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is 0 ° C . On some other day when temperature is T , the speed of sound produced by the same blade and at the same frequency is found to be 336 m s – 1 . Approximate value of T is:

TestHub · Accepted Answer

at 0 ° C y = Asin ( 1000 t - 3 x ) v 1 = ω k = 1000 3 at temperature T , v 2 = 336 m / s v 1 v 2 = T 1 T 2 ⇒ 1000 336 = 273 T ⇒ T = 277 . 41 K i . e . T = 4 . 4 ° C = 4 ° C

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