WBJEE · Physics · Wave Optics
When the frequency of the light used is changed from \(4 \times 10^{14} \mathrm{s}^{-1}\) to \(5 \times 10^{14} \mathrm{s}^{-1}\). the angular width of the principal (central) maximum in a single slit Fraunhoffer diffraction pattern changes by 0.6 radian. What is the width of the slit (assume that the experiment is performed in vacuum
- A \(1.5 \times 10^{-7} \mathrm{m}\)
- B \(3 \times 10^{-7} \mathrm{m}\)
- C \(5 \times 10^{-7} \mathrm{m}\)
- D \(6 \times 10^{-7} \mathrm{m}\)
Answer & Solution
Correct Answer
(C) \(5 \times 10^{-7} \mathrm{m}\)
Step-by-step Solution
Detailed explanation
Given, initial frequency of light, \[ f_{1}=4 \times 10^{14} \mathrm{s}^{-1} \] Final frequency of light, \(f_{2}=5 \times 10^{14} \mathrm{s}^{-1}\) Change in wavelength \(, \Delta \lambda=\lambda_{1}-\lambda_{2}\) or \[ \Delta \lambda=\frac{c}{f_{1}}-\frac{c}{f_{2}} \]…
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