The ratio of resolving powers of an optical microscope for two wavelength λ 1 = 4000 Å and λ₂ = 6000 Å is (a) 9: 4 (b) 3: 2 (c) 16: 81 (d) 8: 27

Answer: (b). Resolving power ∝ (1)/(λ). (RP₁)/(RP₂) = (λ₂)/(λ₁) = (6000)/(4000) = 3/2 So the answer is (b) 3:2.

The ratio of resolving powers of an optical microscope for two… | NEET 2017

Q20NEET 2017Easy

Resolving Power

The ratio of resolving powers of an optical microscope for two wavelength $\lambda$ 1 = 4000 $\text{Å}$ and $\lambda_2$ = 6000 $\text{Å}$ is

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Answer: (b)

Resolving power $\propto \dfrac{1}{\lambda}$ .
$\dfrac{RP_1}{RP_2} = \dfrac{\lambda_2}{\lambda_1} = \dfrac{6000}{4000} = \dfrac{3}{2}$
So the answer is (b) $3:2$ .