1. Draw a labelled ray diagram showing the formation of image by a compound microscope in normal adjustment. Derive the expression for its magnifying power.
  2. How does the resolving power of a microscope change when.
  1. The diameter of the objective lens is decreased,
  2. The wavelength of the incident light is increased.
Justify your answer in each case.
CBSE OUTSIDE DELHI - SET 2 AJMER 2015
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  1.  

Derivation:
- Magnification due to objective $\text{M}_{\circ} = \frac{\text{L}}{\text{f}_{\circ}}$
- Magnification due to eyelens $\text{M}_{e} = \frac{\text{D}}{\text{f}_{e}}$
- Total magnification m $ = \text{m}_{\circ}\text{m}_{e}$
$\text{m}_{\circ} = \frac{\text{L}}{\text{f}_{\circ}}.\frac{\text{D}}{\text{f}_{e}}$
  1. The resolving power of microscope.
  1. Will decrease with decrease of the diameter of objective lens as resolving power is directly proportional to the diameter.
  2. Will decrease with increase of the wavelength of the incident light as resolving power is inversely proportional to the wave length.
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