A point source emits sound equally in all dir | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a point source emitting sound in all directions,the intensity $I$ at a distance $r$ is given by $I = \frac{P}{4\pi r^2}$,where $P$ is the powe

Vedclass · Accepted Answer

$25:9$

Vedclass · Answer

(C) For a point source emitting sound in all directions,the intensity $I$ at a distance $r$ is given by $I = \frac{P}{4\pi r^2}$,where $P$ is the power of the source. Thus,$I \propto \frac{1}{r^2}$.Since the intensity $I$ is proportional to the square of the amplitude $A$ $(I \propto A^2)$,we have $A^2 \propto \frac{1}{r^2}$,which implies $A \propto \frac{1}{r}$.Therefore,the ratio of the amplitudes at points $P$ and $Q$ is $\frac{A_P}{A_Q} = \frac{r_Q}{r_P}$.Given $r_P = 9 \ m$ and $r_Q = 25 \ m$,the ratio is $\frac{A_P}{A_Q} = \frac{25}{9}$.

$A$ point source emits sound equally in all directions in a non-absorbing medium. Two points $P$ and $Q$ are at a distance of $9 \ m$ and $25 \ m$ respectively from the source. The ratio of the amplitudes of the waves at $P$ and $Q$ is

Similar Questions

Consider ten identical sources of sound,all emitting the same frequency but having random phase angles. If the average intensity of each source is $I_0$,what will be the average resultant intensity $I$ due to all these ten sources?

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.

Which property distinguishes progressive waves from stationary waves?

If the ratio of the amplitudes of two waves is $2:1$,then the ratio of their maximum and minimum intensity is:

The sound intensity level at a point $4 \,m$ from the point source is $10 \,dB$. Then the sound level at a distance $2 \,m$ from the same source will be ........ $dB$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module