Question

If the wavelength of light used is $6000\mathring{A}$. The angular resolution of telescope of objective lens having diameter $10cm$ is ______ rad

• A. $7.52\times {10}^{-6}$
• B. $6.10\times {10}^{-6}$
• C. $6.55\times {10}^{-6}$
• D. $7.32\times {10}^{-6}$

Answer 1

The correct option is D $7.32\times {10}^{-6}$

Limit of resolution $\sin \theta =\theta =\frac{1.22\lambda }{D}$
putting the values

$\theta =\frac{1.22\times 6000\times {10}^{-10}}{0.1}$

$\theta =7.32\times {10}^{-6}$

Option (D) is correct.