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True or false questions. 1. Assuming that the temperature of the air is held con

ID: 1655233 • Letter: T

Question

True or false questions.

1. Assuming that the temperature of the air is held constant, the speed of sound in air does depend on the air pressure, to a good approximation.

2. If an air-filled tube of length L is closed at both endsand vibrates in a sound wave normal mode, the wavelength of the mode must satisfy the condition n(/2)=L, where n is a non-negative integer.

3. If an air-filled tube of length L is closed at both ends and vibrates in a sound wave normal mode, the oscillation of the air pressure in the tube musthave a node at both ends of the tube.

4. In a sound wave, there is only a vibration of pressure; there is no vibration of displacement like there is for a vibrating string.

Explanation / Answer

1. speed of sound in air = sqroot(gamma*RT)

where gamma and R are constants, and given T is constant so speed of sound does not depend on pressure for constant temperature

hence this statement is false

2. For closed closed tube

L = lambda/2, lambda, lambda*3/2 ...

L = lambda*n/2

lambda = 2L/n

hence true

3. as there is displacement node at the ends of closed closed tube, there has to be a pressure antinopde at this point

so this statement is false

4. There is vibration of air molecules, which is seen as pressure displacement, so this statement is false