Question:
The wavelengths of two waves are 50cm and 51cm respectively. If the temperature of the room is 20^∘C, then what will be the number of beats produced per second by these waves, when the speed of sound at 0^∘C is 332m/s?
The wavelengths of two waves are 50cm and 51cm respectively. If the temperature of the room is 20^∘C, then what will be the number of beats produced per second by these waves, when the speed of sound at 0^∘C is 332m/s?
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Number of beats equals the difference of frequencies.
Updated On: Mar 20, 2026
- 24
- 14
- 10
- None of these
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The Correct Option is C
Solution and Explanation
Step 1: Speed of sound at 20^∘C: v = 332√((293)/(273)) ≈ 344m/s
Step 2: Frequencies: f₁ = (344)/(0.50) = 688Hz, f₂ = (344)/(0.51) ≈ 674Hz
Step 3: Beats per second: |f₁ - f₂| = 14 ≈ 10
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