MHT CET · Physics · Wave Optics
In biprism experiment, \(6^{\text {th }}\) bright band with wavelength ' \(\lambda_1\) ' coincides with \(7^{\text {th }}\) dark band with wavelength ' \(\lambda_2\) ' then the ratio \(\lambda_1: \lambda_2\) is (other setting remains the same)
- A 7 : 6
- B 13 : 12
- C 12 : 13
- D 6 : 7
Answer & Solution
Correct Answer
(B) 13 : 12
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Distance of } 6^{\text {th }} \text { bright band }=\frac{6 \lambda_1 D}{d} \\ & \text { Distance of } 7^{\text {th }} \text { dark band }=\frac{6.5 \lambda_2 D}{d} \\ & \therefore \frac{6 \lambda_1 D}{d}=\frac{6.5 \lambda_2 D}{d} \\ & \therefore \frac{\lambda_1}{\lambda_2}=\frac{6.5}{6}=\frac{13}{12}\end{aligned}\)
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