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A sound wave propagates in a medium of B...

A sound wave propagates in a medium of Bulk's modulus B by means of compressions and rarefactions. If `P_(c)` and `P_(r)` are the pressures at compression and rarefaction respectively,a be the wave amplitude and k be the angular wave number then

A

`P_(c)` is maximum and `P_(r)` is minimum

B

`p_(c)` is minimum and `p(r)` is maximum

C

The pressure amplitude is Bak

D

If the displacement wave is `y = a sin(omegat - kx)` which leads displacement wave by a phase angle of `(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D

At points of compressure the pressure is more than that at rare faction points hence option (A)is correct. The pressure amplitude in the medium in sound wave is given by the expression mentioned in option (C) hence it is correct and at any pointthe variation of preesure is ahead in phase compared to displacement variation by an angle `PI//2` hence option (D) is correct.
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Knowledge Check

  • Distance between a compression and adjoining rarefactions in a pressure wave is

    A
    `lambda`
    B
    `lambda/2`
    C
    `lambda/4`
    D
    `lambda/3`
  • If the distance between two successive compressions of a sound wave is 16 cm, then the distance between a compression and the next rarefaction is

    A
    16 cm
    B
    32 cm
    C
    4 cm
    D
    8 cm
  • In the region of compression or rarefaction, in a longitudinal wave the physical quantity which does not change is

    A
    pressure
    B
    mass
    C
    density
    D
    volume
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