The diameter of objective of a telescope is 1 m. Its resolving limit for the light of wavelength 4538 ` overset(circ)(A)`, will be

Options

A. `5.54 xx 10^(-7) rad`
B. `2.54 xx 10^(-4) rad`
C. `6.54 xx 10^(-7) rad`
D. None of these

Answer

a

Explanation

Resolving limit `d theta=(1.22lambda)/a`
`lambda = 4538 overset(circ)(A),a=1m`(Given)
`dtheta=(1.22xx4538xx10^(-10))/1`
`=5.54xx10^(-7) rad`