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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