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The resolving ability of a microscope is directly proportional to 2μ sin θ / λ. For two wavelengths, λ₁ = 4000Å and λ₂ = 6000Å, determine the ratio of their resolving powers, R₁ to R₂.

1. R₁/R₂ = 3/2
2. R₁/R₂ = 2/3
3. R₁/R₂ = 1/2
4. R₁/R₂ = 1/3

Correct answer: R₁/R₂ = 3/2

Solution

The resolving power of a microscope is inversely proportional to the wavelength (R ∝ 1/λ). Thus, R₁/R₂ = λ₂/λ₁ = 6000/4000 = 3/2.

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