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

1. 9 : 4
2. 3 : 2
3. 16 : 81
4. 8 : 27

Correct answer: 3 : 2

Solution

The resolving power of an optical microscope is inversely proportional to the wavelength of light used. Therefore, the ratio of resolving powers for λ₁ and λ₂ is λ₂ : λ₁ = 6000 : 4000 = 3 : 2.

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