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

Question

The ratio of resolving powers of an optical microscope for two wavelengths λ1 = 4000 mathring A and λ2 = 6000 mathring A is : (A) 9: 4 (B) 3: 2 (C) 16: 81 (D) 8: 27

Tardigrade Admin · Accepted Answer

Resolving power propto (1/λ) (RP1/RP2) = (λ2/λ2) = (6000 mathring A/4000 mathring A) = (3/2)

Q. The ratio of resolving powers of an optical microscope for two wavelengths $λ_{1} = 4000 \overset{˚}{A}$ and $λ_{2} = 6000 \overset{˚}{A}$ is :

9 : 4

3 : 2

16 : 81

8 : 27

Resolving power $\propto \frac{1}{λ}$
$\frac{R P _{1}}{R P _{2}} = \frac{λ _{2}}{λ _{2}}$
$= \frac{6000 A ˚}{4000 A ˚}$
$= \frac{3}{2}$

Q. The ratio of resolving powers of an optical microscope for two wavelengths λ1​=4000A˚ and λ2​=6000A˚ is :