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Question: The diameter of the objective of the telescope is 0.1 metre and wavelength of light is 6000 Å. Its r...

The diameter of the objective of the telescope is 0.1 metre and wavelength of light is 6000 Å. Its resolving power would be approximately

A

7.32×106rad7.32 \times 10^{- 6}rad

B

1.36×106rad1.36 \times 10^{6}rad

C

7.32×105rad7.32 \times 10^{- 5}rad

D

1.36×105rad1.36 \times 10^{5}rad

Answer

1.36×105rad1.36 \times 10^{5}rad

Explanation

Solution

Resolving power

=d1.226muλ=0.11.22×6000×1010= \frac{d}{1.22\mspace{6mu}\lambda} = \frac{0.1}{1.22 \times 6000 \times 10^{- 10}}

1.36×105radian\cong 1.36 \times 10^{5}radian