Waves question

Question

S1: The particle speed can never be equal to the wave speed in sine wave if the amplitude is less than wavelength divided by 2π

S2: In a transverse wave of amplitude A, the maximum particle velocity is four times its wave velocity. Then the wavelength of the wave is πA

S3: The phase difference between two points separated by 1 m in a wave of frequency 120 Hz is 90°. The velocity of the wave is 480 m/s

A) FTT

B) TTF 

C) TFT

D) FFF

Answer 1

The correct option is (C) TFT

S₁: True

S₂: False

Amplitude of the wave = A

Maximum velocity of wave

v_max = 4v (where v is the wave velocity)

The relation for the maximum velocity is

v_max = 4ω

4v = 4ω 

ω = 4v/A

Wavelength of the wave is given by

Where f is the frequency f = ω/2π from ω = 2πf

S₃: True

Distance between two points Δx = 1m frequency n = 120Hz

Phase difference ϕ = 90^∘= 0.5π

The relation for the phase difference is