A column of air and a tuning fork produce 4 beats per second when sounded together. The tuning fork gives the lower note. The temperature of the air is 15°C. When the temperature falls to 10°C the two

Question

A column of air and a tuning fork produce 4 beats per second when sounded together. The tuning fork gives the lower note. The temperature of the air is 15°C. When the temperature falls to 10°C the two produce 3 beats per second. Find the frequency of the fork. (answer in Hz ).

TestHub · Accepted Answer

Let the fork be f . At 288 K the air column is f + 4 and at 283 K it is ( f + 4 ) 283/288 ​ = 0.99128 ( f + 4 ) . Setting this equal to f + 3 : 0.00872 f = 0.965 , so f = 110.7 Hz. The printed 110.6 Hz is rounding.

Physics - Sound Wave Question with Solution | TestHub

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