Wave Motion and Sound mcqs : Physics quiz

We know that the velocity, wavelength and frequency are related with each other as v = ν × h, whereas amplitude is not related to any one of these.
Therefore amplitude is different from the remaining three.

We know that with the propagation of a longitudinal wave through a material medium, only energy is transmitted in the direction of its propagation.

We know that waves produced by a motorboat, sailing in water, are transverse on the surface and longitudinal inside the water.

We know that a transverse wave is a wave, in which particles of the medium vibrate about their mean position in a direction at right angles to the direction of propagation of the wave. Thus vibration of the string is the example of transverse wave.

We have, phase difference (Δϕ) = 60° = π/3 rad
We know that path difference = (Δx) = (λ/2π)×Δϕ = (λ/2π) × π/3 = π/6

We have, velocity of waves (v) = 20 m-s^-1 and frequency of waves = ν.
We know that distance between two consecutive nodes = λ/2 = v/(2ν) = 20/ 2ν = 10/ν

We have, phase difference between two points (Δϕ) = 60° = π/3 rad;
Velocity of wave (v) = 360 m-s^-1 and frequency of wave (ν) = 500 Hz
We know that wavelength of a wave (λ) = v/ν = 360/500 = 0.72m
Therefore path difference between two points (Δx) = [λ/(2π)]×Δϕ = [0.72/2π]×[π/3] = 0.12m

We have, equation of wave: _{y=10 sin[(2πt/30)+α]}; Displacement (y) = 5cm; Initial time (t₁) = 0 and Final time (t₂) = 7.5s
We know that displacement of wave at t = 0, 5 = 10 sin α or sin α = 1/2 or α = π/6
Therefore angle described by the wave at t=7.5s, (θ) = [(2πt)/30]+α = 2π/3 rad.

We have, Frequecny of A(v_A) = v; Frequency of B(v_B) = v/8 and amplitude of A(a_A)=a.
We know that energy of a wave (E) = 1/2 mv² = 1/2 m (a²) = 1/2 ma² (2πv)² ∝ a²v²
Therefore; a_B = 8a_A = 8a