MCQ
A microscope objective gathers light over a cone of semi-vertex $30^o$ and used visible light of wavelength $5500\mathop A\limits^0 $. Its resolving limit is
  • A
    $2.5 \times {10^{ - 5}}\ cm$
  • B
    $4.6 \times {10^{ - 5}}\ cm$
  • C
    $3.9 \times {10^{ - 5}}\ cm$
  • $6.7 \times {10^{ - 5}}\ cm$

Answer

Correct option: D.
$6.7 \times {10^{ - 5}}\ cm$
d
Resolving limits of microscope is $\mathrm{S}=\frac{1.22 \lambda}{2 \sin \mathrm{i}}$

$\mathrm{i}=$ semi cone angle of light

$s=\frac{1.22 \times 5.5 \times 10^{-5} \mathrm{cm}}{2 \times \sin 30}=6.7 \times 10^{-5} \mathrm{cm}$

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