Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength $6000…

Two points separated by a distance of 0.1 mm can just be seen in microscope when light of wavelength $6000 Å$ is used. If the light of wavelength $4800 Å$ is used, the limit of resolution will become
  1. 0.8 mm
  2. 0.12 mm
  3. 0.10 mm
  4. 0.08 mm .

Solution

$\begin{array}{ll} & \text { Limit of resolution (D) } \propto \lambda \\ \therefore \quad & \frac{\mathrm{d}_1}{\mathrm{~d}_2}=\frac{\lambda_1}{\lambda_2} \\ \therefore \quad & \frac{0.1}{\mathrm{~d}_2}=\frac{6000}{4800} \Rightarrow \mathrm{~d}_2=0.08 \mathrm{~mm}\end{array}$

Asked in: MHT CET 2024 (02 May Shift 2)

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