JEE Mains · Physics · STD 12 - 10. Wave optics
Calculate the limit of resolution of a telescope objective having a diameter of \(200\, cm\), if it has to detect light of wavelength \(500\, nm\) coming from a star
- A \(457.5\times10^{-9}\) radian
- B \(610\times10^{-9}\) radian
- C \(305\times10^{-9}\) radian
- D \(152.5\times10^{-9}\) radian
Answer & Solution
Correct Answer
(C) \(305\times10^{-9}\) radian
Step-by-step Solution
Detailed explanation
Limit of resolution of telescope \(=\frac{1.22 \lambda}{\mathrm{D}}\) \(\theta = \frac{{1.22 \times 500 \times {{10}^{ - 9}}}}{{200 \times {{10}^{ - 2}}}}\) \( = 305 \times {10^{ - 9}}\,{\text{radian}}\)
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