As a wave propagates,which of the following statements is correct?

  • A
    The wave intensity remains constant for a plane wave.
  • B
    The wave intensity decreases as the inverse of the distance from the source for a spherical wave.
  • C
    The wave intensity decreases as the inverse of the square of the distance from the source for a spherical wave.
  • D
    Total intensity of the spherical wave over the spherical surface centered at the source remains constant at all times.

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If the separation between the screen and the source is increased by $2\%$,what would be the effect on the intensity?

Statement-$1$: Two longitudinal waves given by equations $y_1(x, t) = 2a \sin(\omega t - kx)$ and $y_2(x, t) = a \sin(2\omega t - 2kx)$ will have equal intensity.
Statement-$2$: Intensity of waves of given frequency in the same medium is proportional to the square of amplitude only.

There is a long linear source of sound whose power is $P$ and length is $L$. At point $A$,the sound level is $80 \ dB$. Then at point $B$,the sound level will be .... $dB$.

The intensity level at a distance of $200 \ cm$ from a sound source is $80 \ dB$. If there is no loss of acoustic power in the air and the threshold intensity of hearing is $10^{-12} \ W/m^2$,what is the intensity level at a distance of $400 \ cm$ from the source (in $dB$)?

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$A$ travelling wave is partly reflected and partly transmitted from a rigid boundary. Let $a_i, a_r$ and $a_t$ be the amplitudes of the incident wave,reflected wave,and transmitted wave,and $I_i, I_r$ and $I_t$ be the corresponding intensities. Choose the correct alternative.

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