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JIPMER 2007
Exam
JIPMER
Year
2007
Subject
Physics
Chapter
Ray Optics

JIPMER 2007 · Physics · Ray Optics

The angular resolution of a 10 cm diameter telescope at a...

The angular resolution of a 10 cm diameter telescope at a wavelength of 5000A˚5000 Å is of the order of

Options

  1. A106rad10^6 \mathrm{rad}
  2. B10−2rad10^{-2} \mathrm{rad}
  3. C10−4rad10^{-4} \mathrm{rad}
  4. D10−6rad10^{-6} \mathrm{rad}

Correct answer

D. 10−6rad10^{-6} \mathrm{rad}

Step-by-step solution

Angular resolution =1.22λd=\frac{1.22 \lambda}{d} =1.22×5000×10−1010×10−2=6.1×10−6≈10−6rad\begin{aligned} & =\frac{1.22 \times 5000 \times 10^{-10}}{10 \times 10^{-2}} \\ & =6.1 \times 10^{-6} \\ & \approx 10^{-6} \mathrm{rad}\end{aligned}
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