A telescope of aperture 0.15 m is used to view two heavenly separated by a certain linear distance. If the distance of these two is 1 million light years from the earth and the wavelength of light emitted is 449 nm, the calculate the linear separation between them.

Explanation

`D=0.15 m, lambda=440xx10^(-9)m`
`y=10000` light years `d theta=(x)/(y)`
We know that, `d theta=(1.22 lambda)/(D)=(1.22 xx 4.4xx10^(-7))/(0.15)`
` d theta=35.79xx10^(-7) "rad"`
Since, `x=y d theta`
i.e., `x=10^6xx35.79xx10^(-7)`
i.e., `x=3.579` light years.