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Statement-1: In sound wave variation of ...

Statement-1: In sound wave variation of pressure and density of gas above and below average the maximum value at displacement node.
Statement-2: When particles on opposite side of displacement node approach each other gas between them is compressed and pressure rises so that at displacement node gas undergoes maximum amount of compression.

A

Statement-1 is true, Statement-2: is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is true, Statement-2: is true, Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is true but statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
Statement-1, is true, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.
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A typical loud sound wave with a frequency of 1 Kh_(Z) has a pressure amplitude of about 10 Pa (a) At t = 0 , the pressure is a maximum at some point X_(1) . What is the displacement at that point at t = 0 ? (b) What is the maximum value of the displacement at any time and place/ Take the density of air to be 1.29 kg//m^(3) and speed of sound in air is 340 m//s .

The arms of a U shaped tube are vertical. The arm on right side is closed and other arm is closed by light movable piston. There is mercury in the tube and initially the level of the mercury in the arms is the same. Above the mercury, there is an air column of height h in each arm, and initial pressure is the same as atmospheric pressure in both arms. Now pistion is slowly pushed down by a distance of h//2 (see figure) Let x is the displacement of mercury level in one of the stem and P_(1) is pressure in left column of air after compression, P_(2) is pressure in right column of air after compression and P_(0) is atmospheric pressure then

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The maximum variation in pressure P that the ear can tolerate in Ioud sound is about 28N//m^2 . What is the corresponding maximum displacement for a sound of frequency 500Hz imart? Density of air is 1.22 kg//m^3 and velocity of sound =330m/s.

A fixed container is fitted with a piston which is attached to a spring of spring constant k . The other and of the spring is attached to a rigid wall. Initially the spring is in its natural length and the length of container between the piston and its side wall is L . Now an dideal diatomic gas is slowly filled in the container so that the piston moves quasistatically. It pushed the piston by x so that the spring now is compressed by x . The total rotaional kinetic energy of the gas molecules in terms of the displacement x of the piston is (there is vacuum outside the container)

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