D. C. Pandey Solutions for Chapter: Wave Motion, Exercise 6: INTRODUCTORY EXERCISE 17.6

Spherical waves are emitted from a $1.0 \mathrm{W}$ source in an isotropic non-absorbing medium. What is the wave intensity $1.0 \mathrm{m}$ from the source?

A line source emits a cylindrical expanding wave. Assuming the medium absorbs no energy, find how the amplitude and intensity of the wave depend on the distance from the source?

A certain $120 \mathrm{Hz}$ wave on a string has an amplitude of $0.160 \mathrm{mm}$. How much energy exists in an $80 \mathrm{g}$ length of the string?

A taut string for which $\mathrm{\mu }=5.00\times {10}^{-2} \mathrm{kg} {\mathrm{m}}^{-1}$ is under a tension of $80.0 \mathrm{N}$. How much power must be supplied to the string to generate sinusoidal waves at a frequency of $60.0 \mathrm{Hz}$ and an amplitude of $6.00 \mathrm{cm}$?

A $200 \mathrm{Hz}$ wave with amplitude $1 \mathrm{mm}$ travels on a long string of linear mass density $6 \mathrm{g} {\mathrm{m}}^{-1}$ kept under a tension of $60 \mathrm{N}$.

(a) Find the average power transmitted across a given point on the string.
(b) Find the total energy associated with the wave in a $2.0 \mathrm{m}$ long portion of the string.

A transverse wave of amplitude $0.50 \mathrm{mm}$ and frequency $100 \mathrm{Hz}$ is produced on a wire stretched to a tension of $100 \mathrm{N}$. If the wave speed is $100 \mathrm{m} {\mathrm{s}}^{-1}$, what average power is the source transmitting to the wire?