JEE Mains · Physics · STD 12 - 10. Wave optics
Some distant star is to be observed by some telescope of diameter of objective lens \(a\), at an angular resolution of \(3.0\times 10^{-7}\) radian. If the wavelength of light from the star reaching the telescope is \(500\) nm, the minimum diameter of the objective lens of the telescope is ________ cm. (nearest integer)
- A 200
- B 203
- C 208
- D 215
Answer & Solution
Correct Answer
(B) 203
Step-by-step Solution
Detailed explanation
The angular resolution \(\Delta \theta\) of a telescope is given by the formula: \(\Delta \theta = \dfrac{1.22 \lambda}{a}\) where \(\lambda\) is the wavelength of light and \(a\) is the diameter of the objective lens. Given: \(\Delta \theta = 3.0 \times 10^{-7}\) rad…
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