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Question

Physics Question on Wave optics

If numerical aperture of a microscope is increased then its

A

resolving power remains constant

B

resolving power becomes zero

C

limit of resolution is decreased

D

limit of resolution is increased

Answer

limit of resolution is decreased

Explanation

Solution

Resolving limit of microscope is given by
RL=λ2μsinαR L=\frac{\lambda}{2 \mu \sin \alpha}
where, μsinα\mu \sin \alpha is called numerical aperture [NA] and λ=\lambda= wavelength of light.
RL=λ2(NA)\therefore \,\,\,\,\,\,\,R L=\frac{\lambda}{2(N A)}
Hence, if numerical aperture of a microscope is increased, then its limit of resolution is decreased.