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 object of the size of about .

Options

A. 0.5 m
B. 5m
C. 50 m
D. 500 m

Answer

C

Explanation

Since, `(x)/(r ) = (1.22 lambda)/(d)`
` rArr " " x = (1.22 xx 500 xx 10^(-9) xx 400 xx 10^(3))/(5 xx 10^(-3)) = 48.8 = 50 ` cm.