A stone is dropped in still water,creating a | vedclass

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

Question

(A) The intensity $I$ of a wave is defined as the power $P$ per unit area $A$.For a circular wave spreading in two dimensions on the surface of water,

Vedclass · Accepted Answer

$r^{-1/2}$

Vedclass · Answer

(A) The intensity $I$ of a wave is defined as the power $P$ per unit area $A$.For a circular wave spreading in two dimensions on the surface of water,the area $A$ is proportional to the circumference,which is $2\pi r$.Thus,the intensity $I$ is given by $I = \frac{P}{2\pi r}$,which implies $I \propto \frac{1}{r}$.Since the intensity $I$ is proportional to the square of the amplitude $A_{amp}$ (i.e.,$I \propto A_{amp}^2$),we have $A_{amp}^2 \propto \frac{1}{r}$.Therefore,the amplitude $A_{amp}$ is proportional to $r^{-1/2}$.

$A$ stone is dropped in still water,creating a circular wave pattern that spreads outward. If $r$ is the distance from the center of this circular pattern,the amplitude of the wave is proportional to ........

Similar Questions

The relation between time and displacement for two particles is given by
${y_1} = 0.06 \sin 2\pi (1.04t + {\phi _1})$
${y_2} = 0.03 \sin 2\pi (1.04t + {\phi _2})$
The ratio of the intensity of the waves produced by the vibrations of the two particles will be

$A$ point source is kept at the center of a spherically enclosed detector. If the volume of the detector is increased by $8$ times,the intensity will

Do waves carry momentum also along with energy?

With the propagation of a longitudinal wave through a material medium,the quantities transmitted in the propagation direction are

$A$ person speaking normally produces a sound intensity of $40 \ dB$ at a distance of $1 \ m$. If the threshold intensity for reasonable audibility is $20 \ dB$,the maximum distance at which he can be heard clearly is ... $m$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module