Question

In Young's double slit experiment, let $\beta$ is the fringe width and let $I_o$ be the intensity at the central bright fringe. At a distance $x$ from the central bright fringe, the intensity will be

• A. $I_o\cos (\frac{x}{\beta })$
• B. $I_o{\cos }^2(\frac{\pi x}{\beta })$
• C. $I_o\cos (\frac{\pi }{\beta })$
• D. $\frac{I_o}{4}{\cos }^2\left(\frac{\pi x}{\beta }\right)$

Answer 1

The correct option is B $I_o{\cos }^2(\frac{\pi x}{\beta })$

By formula we know that in YDSE, intensity at a distance x from the central bright fringe is given as

$I_x=I_o{\cos }^2\left(\frac{\pi x}{\beta }\right)$