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Question: If in Young's double slit experiment distance between two slits is twice the wavelength of light use...

If in Young's double slit experiment distance between two slits is twice the wavelength of light used. If distance between slits and screen is D then distance of first maxima from central maxima is –

A
B

D2\frac{D}{2}

C

D3\frac{D}{\sqrt{3}}

D

3D\sqrt{3}D

Answer

D3\frac{D}{\sqrt{3}}

Explanation

Solution

Dx = d sin q = 2l sin q = l[for Ist max.]

\ sin q = 12\frac{1}{2}

\ q = 300

Now tan 300 = yD\frac{y}{D} ̃ y = D3\frac{D}{\sqrt{3}}