What is the limiting angle of resolution,in degrees,for a microscope with an objective 0.50 cm in diameter when viewing is done at 590 nm? A) 2.1 $\times$ 10^-3 B) 4.1 $\times$ 10^-3 C) 7.2 $\times$ 10^-5 D) 8.2 $\times$ 10^-3 E) 1.4 $\times$ 10^-4

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Quizplus · Accepted Answer

The limiting angle of resolution (θ) can be calculated using the formula θ = 1.22(λ/D), where λ is the wavelength of light and D is the diameter of the objective lens. Substituting the given values, we get θ = 1.22(590 nm)/(0.50 cm) = 8.2 radians or 8.2*(180/π) degrees ≈ 469 degrees ≈ 8.2 degrees. Therefore, the limiting angle of resolution is approximately 8.2 degrees. The answer choice that is closest to this value is D.

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