Single Choice

For a wave $$y=0.0002\sin \left[2\pi \left(110t-\dfrac{x}{3}\right)+\dfrac{\pi}{3}\right]$$ is travelling in a medium. The energy per unit volume being transferred by wave if density of medium is $$1.5\ kg/m^3$$, is :

A$$14\times 10^{-4}\ J/m^3$$
B$$143.2\times 10^{-4}\ J/m^3$$
Correct Answer
C$$14.3\times 10^{-4}\ J/m^3$$
D$$1.43\times 10^{-4}\ J/m^3$$

Solution

SIMILAR QUESTIONS

Physical World

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

Physical World

In the case of standing wave, if the amplitude of component waves are not equal, then :

Physical World

When you "crack" a knuckle, you suddenly widen the knuckle cavity, allowing more volume for the synovial fluid inside it and causing a gas bubble suddenly to appear in the fluid. The sudden production of the bubble, called "cavitation", produces a sound pulse - the cracking sound. Assume that the sound is transmitted uniformly in all directions and that if fully passes from the knuckle interior to the outside. If the pulse has a sound level of 62 dB at your ear, estimate the rate at which energy is produced by the cavitation.

Physical World

A sinusoidal wave of angular frequency $$ 1200 \mathrm{rad} / \mathrm{s} $$ and amplitude $$ 3.00 \mathrm{mm} $$ is sent along a cord with linear density $$ 2.00 \mathrm{g} / \mathrm{m} $$ and tension $$ 1200 \mathrm{N} $$. What is the average rate at which energy is transported by the wave to the opposite end of the cord?

Physical World

A transverse sinusoidal wave is generated at one end of a long, horizontal string by a bar that moves up and down through a distance of $$ 1.00 \mathrm{cm} . $$ The motion is continuous and is repeated regularly 120 times per second. The string has linear density 120 $$ \mathrm{g} / \mathrm{m} $$ and is kept under a tension of $$ 90.0 \mathrm{N} $$.What is the maximum rate of energy transfer along the string?

Physical World

A transverse sinusoidal wave is generated at one end of a long, horizontal string by a bar that moves up and down through a distance of $$ 1.00 \mathrm{cm} . $$ The motion is continuous and is repeated regularly 120 times per second. The string has linear density 120 $$ \mathrm{g} / \mathrm{m} $$ and is kept under a tension of $$ 90.0 \mathrm{N} $$. What is the minimum rate of energy transfer along the string ?

Physical World

Energy is transmitted at rate $$ P_{1} $$ by a wave of frequency $$ f_{1} $$ on a string under tension $$ \tau_{1} . $$ What is the new energy transmission rate $$ P_{2} $$ in terms of $$ P_{1}$$, if the tension is increased to $$ \tau_{2}=4 \tau_{1} $$

Physical World

Energy is transmitted at rate $$ P_{1} $$ by a wave of frequency $$ f_{1} $$ on a string under tension $$ \tau_{1} . $$ What is the new energy transmission rate $$ P_{2} $$ in terms of $$ P_{1}$$, if , instead, the frequency is decreased to $$ f_{2}=f_{1} / 2 ? $$

Physical World

Consider a loop in the standing wave created by two waves (amplitude $$ 5.00 \mathrm{mm} $$ and frequency $$ 120 \mathrm{Hz} $$ ) traveling in opposite directions along a string with length $$ 2.25 \mathrm{m} $$ and mass $$ 125 \mathrm{g} $$ and under tension $$ 40 \mathrm{N} $$. At what rate does energy enter the loop from (a) each side?

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