Two coherent light sources having intensity i | vedclass

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

Question

(D) Given that the ratio of intensities of two coherent sources is $\frac{I_1}{I_2} = 2x$.We know that $I_{\max} = (\sqrt{I_1} + \sqrt{I_2})^2$ and $I

Vedclass · Accepted Answer

$\frac{2 \sqrt{2x}}{2x + 1}$

Vedclass · Answer

(D) Given that the ratio of intensities of two coherent sources is $\frac{I_1}{I_2} = 2x$.We know that $I_{\max} = (\sqrt{I_1} + \sqrt{I_2})^2$ and $I_{\min} = (\sqrt{I_1} - \sqrt{I_2})^2$.Substituting these into the expression $\frac{I_{\max} - I_{\min}}{I_{\max} + I_{\min}}$:Numerator: $I_{\max} - I_{\min} = (I_1 + I_2 + 2\sqrt{I_1I_2}) - (I_1 + I_2 - 2\sqrt{I_1I_2}) = 4\sqrt{I_1I_2}$.Denominator: $I_{\max} + I_{\min} = (I_1 + I_2 + 2\sqrt{I_1I_2}) + (I_1 + I_2 - 2\sqrt{I_1I_2}) = 2(I_1 + I_2)$.Thus,the ratio is $\frac{4\sqrt{I_1I_2}}{2(I_1 + I_2)} = \frac{2\sqrt{I_1I_2}}{I_1 + I_2}$.Dividing the numerator and denominator by $I_2$,we get $\frac{2\sqrt{I_1/I_2}}{I_1/I_2 + 1}$.Substituting $\frac{I_1}{I_2} = 2x$,we get $\frac{2\sqrt{2x}}{2x + 1}$.

Two coherent light sources having intensity in the ratio $2x$ produce an interference pattern. The ratio $\frac{I_{\max} - I_{\min}}{I_{\max} + I_{\min}}$ will be

Similar Questions

$A$ thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $\gamma$. It is moving with speed $v$ and is suddenly brought to rest. Assuming no heat is lost to the surroundings,its temperature increases by:

$2\,g$ of steam condenses when passed through $40\,g$ of water initially at $25\,^{\circ}C$. The condensation of steam raises the temperature of water to $54.3\,^{\circ}C$. What is the latent heat of steam in $cal/g$?

How many $mL$ of perhydrol is required to produce sufficient oxygen which can be used to completely convert $2 \ L$ of $SO_2$ gas to $SO_3$ gas (in $mL$)?

Vitamin $K$ is required for:

Which one of the following has the longest covalent bond distance?

Vedclass Test Series

Exam Paper Generator

Online Exam Module