A surface of area $S$ is placed perpendicular to the direction of travel of a plane wave. The energy per unit time intercepted by the surface is $E$ when the amplitude of the wave is $A$ . The area of the surface is reduced to $\frac{1}{2} \ S$ and the amplitude of the wave is increased to $2\ A$ . What is the energy per unit time intercepted by this smaller surface?
Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The frequency of a whistle of an engine is $600\, cycles/sec$ is moving with the speed of $30 \,m/sec$ towards an observer. The apparent frequency will be .... $cps$ (velocity of sound $= 330 \,m/s$)View Solution
- 2The frequency of a sound wave is $n$ and its velocity is $v$. If the frequency is increased to $4n,$ the velocity of the wave will beView Solution
- 3The transverse displacement of a string (clamped at its both ends) is given byView Solution
$y(x,t)\, = \,0.6\,\sin \,\left( {\frac{{2\pi }}{3}x} \right)\,\cos \,(120\,\pi t)$
where $x$ and $y$ are in $metre$ and $t$ in $second$ . The length of the string is $1.5\,m$ and its mass is $3.0\times 10^{-2}\,kg$ the tension in the string will be .... $N$
- 4In a gultar, two strings $A$ and $B$ made of same materlal are slightly out of tune and produce beats of frequency $6\, Hz$. When tension in $B$ is slightly decreased, the beat frequency increases to $7 \,Hz$. If the frequency of $A$ is $530\, Hz ,$ the orlginal frequency of $B$ will be $.........Hz$View Solution
- 5If amplitude of waves at distance $r$ from a point source is $A$, the amplitude at a distance $2r$ will beView Solution
- 6View SolutionVelocity of sound measured in hydrogen and oxygen gas at a given temperature will be in the ratio
- 7${v_1}$ and ${v_2}$ are the velocities of sound at the same temperature in two monoatomic gases of densities ${\rho _1}$ and ${\rho _2}$ respectively. If $\frac{\rho _1}{\rho _2} = \frac{1}{4}$ then the ratio of velocities ${v_1}$ and ${v_2}$ will beView Solution
- 8View SolutionThe speed of sound in air is independent from its
- 9A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length isView Solution
- 10The fundamental frequency of a sonometer wire of length $l$ is $n_0$ . A bridge is now introduced at a distance of $\Delta l ( < < l)$ from the centre of the wire. The lengths of wire on the two sides of the bridge are now vibrated in their fundamental modes. Then, the beat frequency nearly isView Solution