MHT CET · Physics · Ray Optics
Let \({ }^{\prime} \mu_{1}{ }^{\prime}\) and \({ }^{\prime} \mu_{2}{ }^{\prime}\) be the refractive indices of two media. ' \(\mathrm{v}_{1}{ }^{\prime}\) and ' \(\mathrm{v}_{2}\) ' are the
velocities of light in the media respectively.
Which one of the following relations is TRUE?
- A \(\mu_{1} \mathrm{v}_{1}=\mu_{2} \mathrm{v}_{2}\)
- B \(\mu_{2} \mathrm{v}_{1}=\mu_{1} \mathrm{v}_{2}\)
- C \(\mu_{1} \mathrm{v}_{1}^{2}=\mu_{2} \mathrm{v}_{2}^{2}\)
- D \(\mu_{2}^{2} \mathrm{v}_{1}=\mu_{1}^{2} \mathrm{v}_{2}\)
Answer & Solution
Correct Answer
(A) \(\mu_{1} \mathrm{v}_{1}=\mu_{2} \mathrm{v}_{2}\)
Step-by-step Solution
Detailed explanation
\(\mu_{1}=\frac{c}{v_{1}} \quad \mu_{2}=\frac{c}{v_{2}}\)
\(\therefore \quad \mu_{1} v_{1}=\mu_{2} v_{2}\)
\(\therefore \quad \mu_{1} v_{1}=\mu_{2} v_{2}\)
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