Two coherent sources of sound produce waves of the same frequency. If the path d

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Question: 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?

Options:

0 rad
π/2 rad
π rad
3π/2 rad

Correct Answer: π/2 rad

Solution:

Phase difference (Δφ) = (2π/λ) * path difference. For sound in air, λ = v/f. Assuming f = 1000 Hz and v = 340 m/s, λ = 0.34 m. Δφ = (2π/0.34) * 0.5 = π/2 rad.

Two coherent sources of sound produce waves of the same frequency. If the path d

Practice Questions

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.
Step 8: Calculate Δφ: Δφ = (2π * 0.5) / 0.34 = π/2 rad.

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Two coherent sources of sound produce waves of the same frequency. If the path d

What’s inside this PDF?

Two coherent sources of sound produce waves of the same frequency. If the path d

Practice Questions

Questions & Step-by-Step Solutions

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