Two points separated by a distance of 0.1 ; mm can just be resolv… - Vidyadip

MCQ

Two points separated by a distance of $0.1\; mm$ can just be resolved in a microscope when a light of wavelength $6000 \;\mathring A$ is used. If the light of wavelength $4800 \;\mathring A$ is used this limit of resolution becomes

✓
$0.08$
B
$0.10$
C
$0.12$
D
$0.06 $

✓

Answer

Correct option: A.

$0.08$

a
$ (R.L.) \propto \lambda $

==> $\frac{{{{(R.L.)}_1}}}{{{{(R.L.)}_2}}} = \frac{{{\lambda _1}}}{{{\lambda _2}}}$

==> $\frac{{0.1}}{{{{(R.L.)}_2}}} = \frac{{6000}}{{4800}}$

==> ${(R.L.)_2} = 0.08\,mm$.

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