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TS EAMCET · Physics · Ray Optics

The diameter of the objective of a telescope is 3.6 m . The limit of resolution of the telescope for a light of wavelength 540 nm is

  1. A \(1.22 \times 10^{-7} \mathrm{rad}\)
  2. B \(1.83 \times 10^{-7} \mathrm{rad}\)
  3. C \(0.61 \times 10^{-7} \mathrm{rad}\)
  4. D \(3.76 \times 10^{-7} \mathrm{rad}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.83 \times 10^{-7} \mathrm{rad}\)

Step-by-step Solution

Detailed explanation

Given, Diameter of the objective, \(\mathrm{d}=3.6 \mathrm{~m}\) wavelength of light, \(\lambda=540 \times 10^{-9} \mathrm{~m}\) Resolving limit, \(\mathrm{d} \theta=\frac{1.22 \lambda}{\mathrm{~d}}\)…
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