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Question: A telescope of objective lens diameter 2m uses light of wavelength 5000 Å for viewing stars. The min...

A telescope of objective lens diameter 2m uses light of wavelength 5000 Å for viewing stars. The minimum angular separation between two stars whose image is just resolved by telescope-

A

4 × 10–4 rad

B

0.25 × 10–6 rad

C

0.31 × 10–6 rad

D

5 × 10–3 rad

Answer

0.31 × 10–6 rad

Explanation

Solution

Dq = \ Dq = 1.22×5000×10−102\frac { 1.22 \times 5000 \times 10 ^ { - 10 } } { 2 }

= 3050 × 10–10 = 3.05 × 10–7 rad.

≈\approx 0.31 × 10–6 rad.