A telescope, whose objective lens has an apertune of 1 mm for the wavelength of light 500 A, then limiting resolving power of the telescope is

Options

A. `2.1xx10^(-5)` rad
B. `4.1xx10^(-5)` rad
C. `5.1xx10^(-5)` rad
D. `6.1xx10^(-5)` rad

Answer

D

Explanation

Given:
Aperture of objective lens `(a)=1mm=1xx10^(-3)m`
Wavelength of light `(lambda)=500Å=500xx10^(-10)m`
Limiting resolving power of telescope,
`d theta=(1.22lambda)/(a)=(1.22xx500xx10^(-10))/(1xx10^(-3))=6.1xx10^(-5)"rad"`