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

Observe the following statements:
$A$. Three vectors are coplanar if one of them is expressible as a linear combination of the other two.
$R$. Any three coplanar vectors are linearly dependent.
Then,which of the following is true?

Which is the smallest blood vessel in the body?

In gel electrophoresis,the separated bands of $DNA$ are cut out and extracted from the gel piece. This step is called

$A$ radioactive nucleus (initial mass number $A$ and atomic number $Z$) emits $3$ $\alpha$-particles and $2$ positrons. The ratio of neutrons to protons in the final nucleus will be:

If $f(x) = \begin{cases} \frac{1-\sqrt{2} \sin x}{\pi-4x} & \text{if } x \neq \frac{\pi}{4} \\ a & \text{if } x = \frac{\pi}{4} \end{cases}$ is continuous at $x = \frac{\pi}{4}$, then $a$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module