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TS EAMCET · Physics · Ray Optics

The limit of resolution of a telescope is \(25 \times 10^{-7} \mathrm{rad}\). If the telescope is used to detect light of wavelength \(500 \mathrm{~nm}\) coming from a star, the diameter of the objective lens used by telescope is

  1. A \(244 \mathrm{~cm}\)
  2. B \(258 \mathrm{~cm}\)
  3. C \(228 \mathrm{~cm}\)
  4. D \(264 \mathrm{~cm}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(244 \mathrm{~cm}\)

Step-by-step Solution

Detailed explanation

Given, limit of resolution, \(\alpha=2.5 \times 10^{-7}\) rad. and wavelength, \(\lambda=500 \mathrm{~nm}\) As, limit of resolution of a telescope, So, \[ \alpha=\frac{1.22 \lambda}{a} \]…
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