The velocity of sound in a gas, in which two wavelengths 4.08 m and… | JEE Main 2022 (28 Jun, Shift 1)

Q45JEE Main 2022 · 28 JUN · SHIFT 1Medium

Beats

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:

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Answer: (d)

Beat frequency $= \dfrac{40}{12} = \dfrac{10}{3}\text{ Hz}$ .
$v\left(\dfrac{1}{4.08} - \dfrac{1}{4.16}\right) = \dfrac{10}{3} \Rightarrow v \cdot \dfrac{0.08}{4.08 \times 4.16} = \dfrac{10}{3}$
$v = \dfrac{10 \times 16.97}{3 \times 0.08} \approx 707.2\text{ m/s}$
So the answer is (d) $707.2\text{ m s}^{-1}$ .

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