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Question: Consider fraunhofer diffraction pattern obtained with a single slit illuminated at normal incidence....

Consider fraunhofer diffraction pattern obtained with a single slit illuminated at normal incidence. At the angular position of the first diffraction minimum, the phase difference (in radians) between the wavelets from the opposite edges of the slit is –

A

p

B

2p

C

p/4

D

p/2

Answer

2p

Explanation

Solution

For Ist minimum q = λa\frac{\lambda}{a}.

and f = 2πλ\frac{2\pi}{\lambda} . Dx = 2πλasinθ\frac{2\pi}{\lambda}a\sin\theta

f = 2πλ\frac{2\pi}{\lambda} . aq = 2πλaλa\frac{2\pi}{\lambda}a\frac{\lambda}{a}

\f = 2p