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. `50m`
D. `500m`

Answer

C

Explanation

`(x)/(r)=(1.22lambda)/(d)impliesx=(1.22lambdar)/(d)`
`=(1.22xx500xx10^(-9)xx400xx10^(3))/(5xx10^(-3))=50m`