MHT CET · Physics · Ray Optics
When wavelength of light used in optical instruments \(\mathrm{A}\) and \(\mathrm{B}\) are \(4500 Å\) and \(6000 Å\) respectively, the ratio of resolving power of \(A\) to \(B\) will be
- A 16:9
- B 7:1
- C 9:16
- D 4:3
Answer & Solution
Correct Answer
(D) 4:3
Step-by-step Solution
Detailed explanation
(D)
Resolving power of an optical instrument \(\propto \frac{1}{\lambda}\)
\(\frac{\text { Resolving power at } \lambda_{1}}{\text { Resolving power at } \lambda_{2}}=\frac{\lambda_{1}}{\lambda_{2}}\)
\(\left[\right.\) Limit of resolution \(\left.\propto \frac{1}{\text { resolving power }}\right]\)
\(\therefore\) Ratio of resolving power \(=\frac{5000}{4000}=\frac{5}{4}=5: 4\)
Resolving power of an optical instrument \(\propto \frac{1}{\lambda}\)
\(\frac{\text { Resolving power at } \lambda_{1}}{\text { Resolving power at } \lambda_{2}}=\frac{\lambda_{1}}{\lambda_{2}}\)
\(\left[\right.\) Limit of resolution \(\left.\propto \frac{1}{\text { resolving power }}\right]\)
\(\therefore\) Ratio of resolving power \(=\frac{5000}{4000}=\frac{5}{4}=5: 4\)
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