The temperature at which the speed of sound in the air becomes double of its value at 27 ° C , is

Question

The temperature at which the speed of sound in the air becomes double of its value at 27 ° C , is, - 123 ° C, 927 ° C, 327 ° C, 54 ° C

MARKS App · Accepted Answer

From the formula for the speed of sound in air v 1 v 2 = T 1 T 2 Or v ⁡ 1 2 v ⁡ 1 = 273 + 27 T 2 Or 1 2 = 300 T 2 Squaring the Eq. (i), we get 1 4 = 300 T 2 Or T 2 = 300 × 4 = 1200 K = 1200 - 273 = 927 ° C

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