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AP EAMCET · PHYSICS · Ray Optics

Diameter of the objective lens of a telescope is \(250 \mathrm{~cm}\). For light of wavelength \(600 \mathrm{~nm}\), coming from a distant object, the limit of resolution of the telescope is close to

  1. A \(1.5 \times 10^{-7} \mathrm{rad}\)
  2. B \(2.0 \times 10^{-7} \mathrm{rad}\)
  3. C \(3.0 \times 10^{-7} \mathrm{rad}\)
  4. D \(4.5 \times 10^{-7} \mathrm{rad}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3.0 \times 10^{-7} \mathrm{rad}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \text { Limit of resolution }=\frac{1.22 \lambda}{d} \\ & =\frac{1.22 \times 600 \times 10^{-9}}{250 \times 10^{-2}}=3 \times 10^{-7} \mathrm{rad}\end{aligned}\)
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