Optics Question 231

Question: In the far field diffraction pattern of a single slit under polychromatic illumination, the first minimum with the wavelength $ {\lambda _{1}} $ is found to be coincident with the third maximum at $ {\lambda _{2}} $ . So

Options:

A) $ 3{\lambda _{1}}=0.3{\lambda _{2}} $

B) $ 3{\lambda _{1}}={\lambda _{2}} $

C) $ {\lambda _{1}}=3.5{\lambda _{2}} $

D) $ 0.3{\lambda _{1}}=3{\lambda _{2}} $

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Answer:

Correct Answer: C

Solution:

Position of first minima = position of third maxima i.e., $ \frac{1\times {\lambda _{1}}D}{d}=\frac{( 2\times 3+1 )}{2}\frac{{\lambda _{2}}D}{d}\Rightarrow {\lambda _{1}}=3.5{\lambda _{2}} $



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