Solveeit Logo

Question

Physics Question on single slit diffraction

The ratio of resolving powers of an optical microscope for two wavelengths λ1=4000A˚\lambda_1 = 4000 \mathring A and λ2=6000A˚\lambda_2 = 6000 \mathring A is :

A

9 : 4

B

3 : 2

C

16 : 81

D

8 : 27

Answer

3 : 2

Explanation

Solution

Resolving power 1λ\propto \frac{1}{\lambda}
RP1RP2=λ2λ2\frac{RP_1}{RP_2} = \frac{\lambda_2}{\lambda_2}
=6000A˚4000A˚= \frac{6000 \mathring A}{4000 \mathring A}
=32= \frac{3}{2}