The head lights of a jeep are `1.2` m apart.If the pupil of the eye of an observer has a diameter of 2 mm and light of wavelength 5896 `Å` is used, what should be the maximum distance of the jeep from the observer if the two head lights are just separated?

Options

A. `33.9` km
B. `33.9` m
C. `3.39` km
D. `3.39` m

Answer

C

Explanation

Distance of jeep `x = (D xxd)/(1.22 xx lambda)`
D = Diameter of lens , d = separation between sources.
or `x = (2 xx 10^(-3) xx 1.2) /(1.22 xx 5896 xx 10^(-10))m`
or ` x = 3336`m or `x = 3.34` km.