Wave and Acoustics | Physics JEE previous year questions with Solutions

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Topic Question Set

Q 1 :

A travelling wave is described by the equation

$y (x, t) = [0.05 \sin (8 x - 4 t)] m$

The velocity of the wave is [all the quantities are in SI unit] [2023]

${4 ms}^{- 1}$
${8 ms}^{- 1}$
${0.5 ms}^{- 1}$
${2 ms}^{- 1}$

1

2

3

4

(3)

$From the given equation k = {8 ms}^{- 1} and ω = 4 rad/s$

$Velocity of wave = \frac{ω}{k}$

$v = \frac{4}{8} = 0.5 m/s$

Q 2 :

The distance between two consecutive points with phase difference of 60° in a wave of frequency 500 Hz is 6.0 m. The velocity with which the wave is travelling is ______ km/s. [2023]

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(18)

$ϕ = 60 ° = \frac{π}{3}, Δ x = 6 m, n = 500 Hz$

$ϕ = \frac{2 π}{λ} Δ x$ $\frac{π}{3} = \frac{2 π}{λ} \times 6$

$V = n λ = 500 \times 36$

$λ = 36 m = 18000 m/s = 18 km/s$

Topic Question Set

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