An astronaut is looking down on earth's surface from a space shuttle at an altitude of 400 km. Assuming that the astronaut's pupil diameter is 5 mm and the wavelength of visible light is 500 nm, the astronaut will be able to resolve linear objects of the size of about

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0.5 m

5 m

500 m

50 m

answer is D.

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Detailed Solution

For wavelength λ, d the diameter of eye lens and D the distance from the lens at which light is focused, the resolving power is given byRP = 1.22 λd DGiven, D = 400 km = 400 × 103 md = 5 mm = 5 × 10−3 mR = 1.22 × 500 × 10−9 × 4 × 1055 × 10−3R = 50 m

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