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Light of wavelength 589 nm is used to view an object under a microscope. If the

aperture of the objective has a diameter of 0.900 cm


a. what is the limiting angle of resolution ?

1 Answer

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Final answer:

The limiting angle of resolution can be calculated using the formula θ = 1.22 × λ / D, where θ is the limiting angle of resolution, λ is the wavelength of light, and D is the diameter of the aperture.

Step-by-step explanation:

The limiting angle of resolution can be calculated using the formula

θ = 1.22 × λ / D

Where θ is the limiting angle of resolution, λ is the wavelength of light, and D is the diameter of the aperture.

Given that the light has a wavelength of 589 nm (589 × 10-9 m) and the aperture has a diameter of 0.900 cm (0.009 m), we can substitute these values into the formula:

θ = 1.22 × 589 × 10-9 / 0.009

θ ≈ 8.01 × 10-5 rad

Therefore, the limiting angle of resolution is approximately 8.01 × 10-5 radians.

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