A microscope was initially placed in air (refractive index 1 ). It is then immersed in oil (refractive index 2 ). For a light whose wavelength in air is λ , calculate the change of microscope's resolving power due to oil and choose the correct option

Question

A microscope was initially placed in air (refractive index 1 ). It is then immersed in oil (refractive index 2 ). For a light whose wavelength in air is λ , calculate the change of microscope's resolving power due to oil and choose the correct option, Resolving power will be 1 4 in the oil than it was in the air, Resolving power will be twice in the oil than it was in the air., Resolving power will be four times in the oil than it was in the air., Resolving power will be 1 2 in the oil than it was in the air.

MARKS App · Accepted Answer

Resolving power of microscope in air is ( R . P ) air = 2 μ air sin θ 1 . 22 λ = 2 sin θ 1 . 22 λ ( R . P ) oil = 2 μ oil sin θ 1 . 22 λ oil = 2 sin θ 2 1 . 22 λ R . P oil = R . P air × 2 Thus, resolving power in oil is twice the resolving power in air.

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