Question

The ratio of resolving powers of an optical microscope for two wavelengths ${\lambda }_1=4000\mathring{A}$ and ${\lambda }_2=6000\mathring{A}$ is:

• A. $16:18$
• B. $8:27$
• C. $9:4$
• D. $3:2$

Answer 1

The correct option is D $3:2$

Resolving power $\propto \frac{1}{\lambda }$

$\frac{R{P}_1}{R{P}_2}=\frac{{\lambda }_2}{{\lambda }_1}=\frac{6000}{4000}$

$\frac{R{P}_1}{R{P}_2}=\frac{3}{2}$