Light waves producing interference have their | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The ratio of amplitudes is given as $\frac{a_1}{a_2} = \frac{3}{2}$.We know that the intensity $I$ is proportional to the square of the amplitude

Vedclass · Accepted Answer

$25:1$

Vedclass · Answer

(C) The ratio of amplitudes is given as $\frac{a_1}{a_2} = \frac{3}{2}$.We know that the intensity $I$ is proportional to the square of the amplitude $a$,so $I \propto a^2$.The ratio of maximum intensity to minimum intensity in an interference pattern is given by the formula:$\frac{I_{\max}}{I_{\min}} = \left( \frac{a_1 + a_2}{a_1 - a_2} \right)^2$.Dividing the numerator and denominator by $a_2$,we get:$\frac{I_{\max}}{I_{\min}} = \left( \frac{\frac{a_1}{a_2} + 1}{\frac{a_1}{a_2} - 1} \right)^2$.Substituting the given ratio $\frac{a_1}{a_2} = \frac{3}{2}$:$\frac{I_{\max}}{I_{\min}} = \left( \frac{\frac{3}{2} + 1}{\frac{3}{2} - 1} \right)^2 = \left( \frac{\frac{5}{2}}{\frac{1}{2}} \right)^2 = (5)^2 = 25$.Thus,the ratio is $25:1$.

Light waves producing interference have their amplitudes in the ratio $3:2$. The intensity ratio of maximum and minimum of interference fringes is

Similar Questions

$A$ tension of $22 ~N$ is applied to a copper wire of cross-sectional area $0.02 ~cm^2$. The Young's modulus of copper is $1.1 \times 10^{11} ~N/m^2$ and the Poisson's ratio is $0.32$. The decrease in cross-sectional area will be:

In the following sequence of reactions,what is $D$?
$Toluene$ $\xrightarrow{[O]} A$ $\xrightarrow{SOCl_2} B$ $\xrightarrow{NaN_3} C$ $\xrightarrow{\text{Heat}} D$

$A$ man is watching two trains,one leaving and the other coming in with equal speeds of $4\, m/s$. If they sound their whistles,each of frequency $240\, Hz$,the number of beats heard by the man (velocity of sound in air $= 320\, m/s$) will be equal to

The $K_{\alpha}$ $X$-ray emission line of tungsten occurs at $\lambda = 0.021 \, nm$. The energy difference between $K$ and $L$ levels in this atom is about:

The $Dystrophin$ gene contains how many million bases?

Vedclass Test Series

Exam Paper Generator

Online Exam Module