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TS EAMCET · Physics · Ray Optics

The limit of resolution of a telescope is \(3.0 \times 10^{-7} \mathrm{rad}\). Assuming that it is used to see the light of wavelength \(525 \mathrm{~nm}\) from a star, what should be the diameter of the objective?

  1. A \(2.1 \mathrm{~m}\)
  2. B \(2.0 \mathrm{~m}\)
  3. C \(1.8 \mathrm{~m}\)
  4. D \(1.9 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(2.1 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Limit of resolution or angular resolution for a telescope is \(\alpha_{\min }=\frac{1.22 \lambda}{D}\) Here,\(\alpha_{\min }=3 \times 10^{-7} \mathrm{rad}\), \(\lambda=525 \mathrm{~nm}=525 \times 10^{-9} \mathrm{~m}\) \(\therefore\) Diameter of objective lens is…
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