Question

The anguThe angular resolution of 10cm diameter telescope at a wavelength of $5000nm$ is of order of the

• A. ${10}^4$ rad
• B. ${10}^{-4}$ rad
• C. ${10}^{-6}$ rad
• D. ${10}^6$ rad

Answer 1

The correct option is C ${10}^{-6}$ rad

Given that the Diameter of telescope is $D=10cm=0.1m$ and the wavelength $\lambda =5000nm$

Angular resolution $d\theta =\frac{1.22\lambda }{D},$

$\Rightarrow d\theta =\frac{1.22\times 5000\times {10}^{-9}}{0.1}=0.61\times {10}^{-6},$

Therefore it is in the order of ${10}^{-6},$

So the correct option is $C.$