Two coherent sources of sound produce waves of the same frequency. If the path d
Practice Questions
Q1
Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves at a point is 0.5 m, what is the phase difference at that point?
0 rad
π/2 rad
π rad
3π/2 rad
Questions & Step-by-Step Solutions
Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves at a point is 0.5 m, what is the phase difference at that point?
Step 1: Understand that we need to find the phase difference (Δφ) between two sound waves.
Step 2: Recall the formula for phase difference: Δφ = (2π/λ) * path difference.
Step 3: Identify the path difference given in the question, which is 0.5 m.
Step 4: Determine the wavelength (λ) of the sound waves. Use the formula λ = v/f, where v is the speed of sound and f is the frequency.
Step 5: Assume the frequency (f) is 1000 Hz and the speed of sound (v) in air is 340 m/s.
Step 6: Calculate the wavelength: λ = 340 m/s / 1000 Hz = 0.34 m.
Step 7: Substitute the values into the phase difference formula: Δφ = (2π/0.34) * 0.5.
