Question Detail

PHY 104 Wave and sound Objective Question

Question

For the same wave (frequency 300 Hz, velocity 250 m/s), what is the phase difference between two displacements at a single point, separated in time by 10⁻² s?
Options
A 3π radians
B 6π radians
Correct Answer
C 2π radians
D π radians
Correct Answer

Option B is the correct answer.

Detailed Explanation

The phase difference (Δφ) in time (Δt) is given by Δφ = ωΔt, where ω is the angular frequency. The angular frequency ω = 2πf.Given f = 300 Hz and Δt = 10⁻² s.ω = 2π * 300 Hz = 600π rad/s.Δφ = (600π rad/s) * (10⁻² s) = 6π radians.

Hint

The phase difference due to time separation depends on the angular frequency and time interval.

Question Info