TS EAMCET · Physics · Wave Optics
Light consisting of a plane waves of wavelength, \(\lambda_1=8 \times 10^{-5} \mathrm{~cm}\) and \(\lambda_2=6 \times 10^{-5} \mathrm{~cm}\) generates an interference pattern in Young's double slit experiment. If \(n_1\) denotes the \(n_1\) th dark fringe due to light of wavelength \(\lambda_1\) which coincides with \(n_2\) th bright fringe due to light of wavelength \(\lambda_2\), then
- A \(n_1=3, n_2=1\)
- B \(n_1=4, n_2=5\)
- C \(n_1=1, n_2=2\)
- D \(n_1=3, n_2=2\)
Answer & Solution
Correct Answer
(C) \(n_1=1, n_2=2\)
Step-by-step Solution
Detailed explanation
Given, \(\lambda_1=8 \times 10^{-5} \mathrm{~cm}\) and \(\lambda_2=6 \times 10^{-5} \mathrm{~cm}\) Position \(n^{\text {h }}\), dark fringe (due to light of wavelength \(\lambda_1\) ) is given by, \(x_{n_1}=\left(2 n_1 \times 1\right) \frac{D \lambda_1}{2 d}\) Position of…
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