When wavelength of light used in optical instruments $\mathrm{A}$ and $\mathrm{B}$ are $4500 Å$ and $6000 Å$…

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
  1. 16:9
  2. 7:1
  3. 9:16
  4. 4:3

Solution

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 $=\frac{6500}{4500}=\frac{4}{3}=4: 3$

Asked in: MHT CET 2020 (16 Oct Shift 2)

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