Question
Two waves represented by the following equations are travelling in the same medium ${y_1} = 5\sin 2\pi (75t - 0.25x)$, ${y_2} = 10\sin 2\pi (150t - 0.50x)$ The intensity ratio ${I_1}/{I_2}$ of the two waves is

Answer

(b) $\frac{{{I_1}}}{{{I_2}}} = \frac{{a_1^2}}{{a_2^2}} $

$\Rightarrow \frac{{{I_1}}}{{{I_2}}} = \frac{{25}}{{100}} = \frac{1}{4}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The $k$  line of singly ionised calcium has a wavelength of $393.3 \,nm$ as measured on earth. In the spectrum of one of the observed galaxies, this spectral line is located at $401.8 \,nm$. The speed with which the galaxy is moving away from us, will be.....$km/s$
If two conducting spheres are separately charged and then brought in contact
Two coherent sources separated by distance d are radiating in phase having wavelength $\lambda$. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of $n = 4$ interference maxima is given as
$A$ curved surface of radius $R$ separates two medium of refractive indices $\mu_1$ and $\mu_2$ as shown in figures $A$ and $B$ Identify the correct statement $(s)$ related to the formation of images of a real object $O$ placed at $x$ from the pole of the concave surface, as shown in figure $B$
In Jager's method, at the time of bursting of the bubble
Swimming is possible on account of
A projectile is projected from ground with initial velocity $\vec u\, = \,{u_0}\hat i\, + \,{v_0}\hat j\,$. If acceleration due to gravity $(g)$  is along the negative $y-$ direction then find maximum displacement in $x-$ direction
Which of the following is used to produce radio waves of constant amplitude
In an experiment of potentiometer for measuring the internal resistance of primary cell a balancing length $\ell $ is obtained on the potentiometer wire when the cell is open circuit. Now the cell is short circuited by a resistance $R$. If $R$ is to be equal to the internal resistance of the cell the balancing length on the potentiometer wire will be
An electron moves with speed $2 \times {10^5}\,m/s$ along the positive $x$-direction in the presence of a magnetic induction $B = \hat i + 4\hat j - 3\hat k$ (in $Tesla$) The magnitude of the force experienced by the electron in Newton's is (charge on the electron =$1.6 \times {10^{ - 19}}C)$