AP EAMCET · PHYSICS · Ray Optics
A monochromatic light of wavelength \(6000 Å\) coming from a star is detected in a 100 inch telescope. The limit of resolution of the telescope is approximately
- A \(3.4 \times 10^{-7} \mathrm{rad}\)
- B \(6.7 \times 10^{-7} \mathrm{rad}\)
- C \(2.9 \times 10^{-7} \mathrm{rad}\)
- D \(1.54 \times 10^{-7} \mathrm{rad}\)
Answer & Solution
Correct Answer
(C) \(2.9 \times 10^{-7} \mathrm{rad}\)
Step-by-step Solution
Detailed explanation
For a telescope, limit of resolution is given by \[ Q_R=\frac{1.22 \lambda}{a} \] Here, \[ \begin{aligned} & \lambda=\text { wavelength of light }=600 Å \\ & a=\text { apperture size }=100 \text { inch } \\ & =100 \times 2.54 \mathrm{~cm}=254 \mathrm{~cm} \end{aligned} \] So,…
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