Q

# I have a doubt, kindly clarify. In a Young's double slit experiment , the ratio of the slit 's width is 4:1 The ratio of the intensity of maxima to minima , close to the central fringe in the screen , will be:

In a Young's double slit experiment , the ratio of the slit 's width is 4:1 The ratio of the intensity of maxima to minima , close to the central fringe in the screen , will be:

• Option 1)

$25:9$

• Option 2)

$9:1$

• Option 3)

$4:1$

• Option 4)

$\left ( \sqrt{3+1} \right )^{4}:16$

Views

$intensity\propto W$

$\frac{I_{1}}{I_{2}}=\frac{4}{1}$

$\frac{I_{max}}{I_{min}}=\frac{\left ( \sqrt{I_{1}}+\sqrt{I_{2}} \right )^{2}}{\left ( \sqrt{I_{1}}-\sqrt{I_{2}} \right )^{2}}$

$=\left ( \frac{\sqrt\frac{{I}_{1}}{I_{2}}+1}{\sqrt\frac{{I}_{1}}{I_{2}}-1} \right )^{2}$

$=\left ( \frac{\sqrt{4}+1}{\sqrt{4}-1} \right )^{2}$

$=\left ( \frac{2+1}{2-1} \right )^{2}$

$=\left ( \frac{3}{1} \right )^{2}$

$=\left ( \frac{9}{1} \right )$

Option 1)

$25:9$

Option 2)

$9:1$

Option 3)

$4:1$

Option 4)

$\left ( \sqrt{3+1} \right )^{4}:16$

Exams
Articles
Questions