Question

In a Young's double slit experiment, the intensity at the cetral maximum is $l_{0-}$. The intensity ata distance $\beta /4$ from the central maximum is ($\beta$is frige width)

• A. $l_0$
• B. $\frac{l_0}{2}$
• C. $\frac{l_0}{\sqrt{2}}$
• D. $\frac{l_0}{4}$

Answer 1

The correct option is A $l_0$

In a Young 's double slit experimental the intensity at the central maximum is $l_0$. The intensity at a distance $=\beta /4$

From the central maximum is

($\beta$ is fringe width)

Solution

The intensity of central maxima is $l_0$, let $l_1$ and $I_2$ be the intensity emitted by the two slits $S_1$ and $S_2$ repectively. The expression for resultant intensity is

$l=l_1{l}_2+2\sqrt{l_1{l}_2\cos \varphi }$

For central maxima

$l=l_0$ and $\varphi =0$