Wave OpticsHard

Question

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

Options

A.0.5 m
B.5 m
C.500 m
D.2 cm

Solution

The resolving power of an instrument is give by the formula 1.22 =
Here, d is aperture of the instrument, D is distance of satelite from the earth. Here eye is the optical instrument.
R.P. = × 400 × 1000
= 1.22 × × 4 = 1.22 × 40 = 50m

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