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Question

Physics Question on Youngs double slit experiment

In the Young’s double slit experiment a monochromatic source of wavelength λ is used. The intensity of light passing through each slit is I0. The intensity of light reaching the screen SC at a point P, a distance X from O is given by (Take d << D).
Young’s double slit experiment

A

I0 cos2(πDλdx)I_0\ \cos^2(\frac{\pi D}{\lambda d}x)

B

4I0 cos2(πdλDx)4I_0\ \cos^2(\frac{\pi d}{\lambda D}x)

C

I0 sin2(πd2λDx)I_0\ \sin^2(\frac{\pi d}{2\lambda D}x)

D

4I0 cos(πd2λDx)4I_0\ \cos(\frac{\pi d}{2\lambda D}x)

Answer

4I0 cos2(πdλDx)4I_0\ \cos^2(\frac{\pi d}{\lambda D}x)

Explanation

Solution

The correct answer is (B) : 4I0 cos2(πdλDx)4I_0\ \cos^2(\frac{\pi d}{\lambda D}x).