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Question: Answered & Verified by Expert
A telescope, whose objective lens has an aperture of $1 \mathrm{~mm}$ for the wavelength of light $500 Å$, then limiting resolving power of the telescope is
PhysicsRay OpticsAIIMSAIIMS 2019 (26 May)
Options:
  • A $2.1 \times 10^{-5} \mathrm{rad}$
  • B $4.1 \times 10^{-5} \mathrm{rad}$
  • C $5.1 \times 10^{-5} \mathrm{rad}$
  • D $6.1 \times 10^{-5} \mathrm{rad}$
Solution:
1396 Upvotes Verified Answer
The correct answer is: $6.1 \times 10^{-5} \mathrm{rad}$
Given:
Aperture of objective lens $(a)=1 \mathrm{~mm}=1 \times 10^{-3} \mathrm{~m}$ Wavelength of light $(\lambda)=500 Å=500 \times 10^{-10} \mathrm{~m}$ Limiting resolving power of telescope,
$d \theta=\frac{1.22 \lambda}{a}=\frac{1.22 \times 500 \times 10^{-10}}{1 \times 10^{-3}}=6.1 \times 10^{-5} \mathrm{rad}$

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