Power Transmitted by a Wave on a String

Two waves of amplitudes $A_1$ and $A_2$ respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is $9:4$. The value of $\frac{A_2}{ A_1}$ is [Assume $A_1>A_2$]

Two waves with displacement $y_1$ and $y_2$ travel in the same medium. $y_1$ and $y_2$ are given as

$y_1=\left[4\sin \left(20\pi t-4\pi x\right)\right] \mathrm{cm}$

$y_2=\left[3\sin \left(20\pi t-4\pi x\right)\right] \mathrm{cm}$

Their intensities are $I_1$ and $I_2$, respectively, then ratio $\frac{I_1}{I_2}$ is

The kinetic energy of pulse (in $mJ$) travelling in a taut string is $x.$ Given $T=10 \mathrm{N} \& \mu =0.1 \mathrm{kg}/\mathrm{m}.$ Find the value of $20 x.$

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

Displacement-time graphs for two waves, wave-1 and wave-2 are shown here. Ratio of intensity of wave-1 to that of wave-2 is

SI unit of intensity of wave is

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 same medium is proportional to square of amplitude.

An isotropic point source having radiation power P is located on the axis of an ideal mirror plate. The distance between the source and the plate exceeds the radius of the plate η – fold. In terms of photon theory, find the force that light exerts on the plate.

Two pulses in a stretched string, whose centres are initially 8 cm apart, are moving towards each other as shown in the figure. The speed of each pulse is 2 cm/s. After 2 s the total energy of the pulses will be