Question

Assume that light of wavelength \(600 \mathrm{~nm}\) is coming from a star. The limit of resolution of telescope whose objective has a diameter of \(2 m\) is :
(A) \(3.66 \times 10^{-7} \mathrm{rad}\)
B \(1.83 \times 10^{-7} \mathrm{rad}\)
C \(7.32 \times 10^{-7} \mathrm{rad}\)
D \(6.00 \times 10^{-7} \mathrm{rad}\)

Answer 1

Solution:
$$
\begin{aligned}
&\text { Limit of resolution, } \\
&\theta_{R}=1.22 \frac{\lambda}{d} ; \\
&\lambda=600 \times 10^{-9} \mathrm{~m} \\
&d=2 \mathrm{~m} \\
&\theta_{R}=\frac{1.22 \times 600 \times 10^{-9}}{2} \\
&\theta_{R}=3.66 \times 10^{-7} \mathrm{rad}
\end{aligned}
$$

Answer 2

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Answer 3

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