JEE MAIN - Physics (2022 - 28th June Morning Shift - No. 17)

The velocity of sound in a gas, in which two wavelengths 4.08 m and 4.16 m produce 40 beats in 12s, will be :
282.8 ms$$-$$1
175.5 ms$$-$$1
353.6 ms$$-$$1
707.2 ms$$-$$1

Explanation

$${v \over {4.08}} - {v \over {4.16}} = {{40} \over {12}}$$

$$v = {{40} \over {12}} \times {{4.08 \times 4.16} \over {0.08}}$$

$$ = 707.2$$ m/s

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