Two sounding waves send waves at certain temperature in air of… | MHT CET 2026 (17 Apr, Shift 2)

Q8MHT CET 2026 · 17 APR · SHIFT 2Medium

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Two sounding waves send waves at certain temperature in air of wavelength 50 cm and 50.5 cm repectively. The frequency of sources differ by 6 Hz. The velocity of sound in air at same temperature is

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Answer: (c)

$n_1 - n_2 = \dfrac{v}{\lambda_1} - \dfrac{v}{\lambda_2} = 6$ with $\lambda_1 = 0.50\text{ m}$ , $\lambda_2 = 0.505\text{ m}$ .
$v \cdot \dfrac{0.505 - 0.50}{0.50 \times 0.505} = 6 \Rightarrow v \cdot \dfrac{0.005}{0.2525} = 6$
$v = \dfrac{6 \times 0.2525}{0.005} = 303\text{ m/s}$
So the answer is (c) 303 m/s.

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