How does the speed of sound in air depend on atmospheric pressure P?
Correct answer: B. ν is directly proportional to p^1/2
- A. v is directly proportional to p^-1
- B. ν is directly proportional to p^1/2
- C. ν is directly proportional to p^-1/2
- D. v is directly proportional to p^0
Explanation
The speed of sound in air is directly proportional to the square root of atmospheric pressure. Therefore, the correct relationship is v∝(P)^1/2 , where v is the speed of sound and P is the atmospheric pressure.Incorrect Options:Option (a) v is directly proportional to P^−1: This is incorrect as it implies an inverse relationship.Option (c) v is directly proportional to P^−1/2: This is incorrect as it implies an inverse square root relationship.Option (d) v is directly proportional to P0: This is incorrect as it implies that the speed of sound is independent of atmospheric pressure.
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Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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