Velocity of sound waves in air is ' V ' m/s. For a particular sound wave in air, path difference of 'x' cm is equivalent to phase difference nπ. The frequency of this wave is (a) Vn/x (b) V/nx (c) Vn/2x (d) 2x/V

Answer: (c). Δφ = (2π)/(λ)Δ x ⇒ nπ = (2π x)/(λ) λ = 2x/n f = (V)/(λ) = Vn/2x So the answer is (c) Vn/2x.

Velocity of sound waves in air is ' V ' m/s. For a particular sound… | MHT CET 2021 (24 Sep, Shift 2)

Q68MHT CET 2021 · 24 SEP · SHIFT 2Easy

Progressive Wave Equation

Velocity of sound waves in air is ' $V$ ' $\text{m/s}$ . For a particular sound wave in air, path difference of 'x' $\text{cm}$ is equivalent to phase difference $n\pi$ . The frequency of this wave is

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Answer: (c)

$\Delta\phi = \frac{2\pi}{\lambda}\Delta x \Rightarrow n\pi = \frac{2\pi x}{\lambda}$
$\lambda = \frac{2x}{n}$
$f = \frac{V}{\lambda} = \frac{Vn}{2x}$
So the answer is (c) $\frac{Vn}{2x}$ .

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