MHT CET · Physics · Wave Optics
In biprism experiment, 21 fringes are observed in a given region using light of wavelength \(480 Å\). If light of wavelength \(560 Å\) is used, the number of fringes in the same region will be
- A 18
- B 24
- C 14
- D 21
Answer & Solution
Correct Answer
(A) 18
Step-by-step Solution
Detailed explanation
\(
\mathrm{n}_1 \beta_1=\mathrm{n}_2 \beta_2
\)
\(
21 \times \frac{\lambda_1 \mathrm{D}}{\mathrm{d}}=\mathrm{n}_2 \times \frac{\lambda_2 \mathrm{D}}{\mathrm{d}}
\)
\(
\mathrm{n}_2=21 \times \frac{\lambda_1}{\lambda_2}=\frac{21 \times 480}{560}=18
\)
\mathrm{n}_1 \beta_1=\mathrm{n}_2 \beta_2
\)
\(
21 \times \frac{\lambda_1 \mathrm{D}}{\mathrm{d}}=\mathrm{n}_2 \times \frac{\lambda_2 \mathrm{D}}{\mathrm{d}}
\)
\(
\mathrm{n}_2=21 \times \frac{\lambda_1}{\lambda_2}=\frac{21 \times 480}{560}=18
\)
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