34. The ratio of resolving powers of an optical microscope for two wavelengths λ1 = 4000Å and λ2 = 6000Å is ?

34. The ratio of resolving powers of an optical microscope for two wavelengths λ1 = 4000Å and λ2 = 6000Å is ?

(a) 9 : 4

(b) 3 : 2

(c) 16 : 81

(d) 8 : 27

Answer :  (b) 3 : 2

\(RL \propto \frac{\lambda}{a}\)

\(RP = k \cdot \frac{a}{\lambda}\)

\(RP_1 = k \cdot \frac{a}{4000 \mathring{A}}\)

\(RP_2 = k \cdot \frac{a}{6000 \mathring{A}}\)

\(\frac{RP_1}{RP_2} = \frac{3}{2}\)