Two points separated by a distance of 0.1 ,mm can just be resolve… - Vidyadip

MCQ

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

✓
$0.08$
B
$0.10$
C
$0.12 $
D
$0.06$

✓

Answer

Correct option: A.

$0.08$

a
( a)Resolving limit
$x \propto \lambda \Rightarrow \frac{{{x_1}}}{{{x_2}}} = \frac{{{\lambda _1}}}{{{\lambda _2}}} \Rightarrow \frac{{0.1}}{{{x_2}}} = \frac{{6000}}{{4800}}$$ \Rightarrow {x_2} = 0.08\;mm$

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