Light of wavelength is used in air to examine a specimen

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

Light of wavelength 600 nm600\,\text{nm} is used in air (n=1)(n=1) to examine a specimen. To resolve details 0.50  μm0.50\;\mu\text{m} apart, the microscope objective must have a semi-aperture angle α\alpha such that NA=sin⁡α\text{NA}=\sin\alpha. The required value of α\alpha is closest to (a) 37∘37^{\circ} (b) 42∘42^{\circ} (c) 53∘53^{\circ} (d) 30∘30^{\circ}

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