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Q.

Two stars are situated at a distance of 8 light years from the earth. These are to be just resolved by a telescope of diameter 0.25 m. If the wavelength of light used is 5000 A°, then the distance between the starts must be ------

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a

4.32×10¹⁰m

b

3×10¹⁰m

c

3.35×10¹¹m

d

1.85×10¹¹m

answer is C.

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Detailed Solution

$\begin{array}{l} \frac{1 .22 λ}{a} = \frac{d}{D} \\ d = \frac{1 .22 \times 5000 \times 10^{- 10} \times 8 \times 3 \times 10^{8} \times 365 \times 86400}{0 .25} \\ = 1 .85 \times 10^{11} m \end{array}$

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