MHT CET · Physics · Wave Optics
In two separate setups for Biprism experiment using same wavelength, fringes of equal width are obtained. If ratio of slit separation is \(2: 3\) then the ratio of the distance between the slit and screen in the two setups is
- A \(2: 3\)
- B \(1: 2\)
- C \(4: 9\)
- D \(9: 4\)
Answer & Solution
Correct Answer
(A) \(2: 3\)
Step-by-step Solution
Detailed explanation
Fringe width, \(W=\frac{\lambda \cdot D}{d}\)
For constant \(\mathrm{W}\) and \(\lambda\), \(D \propto d\)
\(
\therefore \frac{\mathrm{D}_1}{\mathrm{D}_2}=\frac{\mathrm{d}_1}{\mathrm{~d}_2}=\frac{2}{3}
\)
For constant \(\mathrm{W}\) and \(\lambda\), \(D \propto d\)
\(
\therefore \frac{\mathrm{D}_1}{\mathrm{D}_2}=\frac{\mathrm{d}_1}{\mathrm{~d}_2}=\frac{2}{3}
\)
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