Question

(40) Two stars distant two light years are just resolved
by a telescope. The diameter of the telescope lens is
0.25 m. If the wavelength of light used is 5000 AO,
then the minimum distance between the stars is
1) 1.22x1011 m 2) 2.44x1011 m
3) 3.66x100 m 4) 4.88x1010 m
​

Answer 1

1.22 * 10^11 m would be the minimum distance between the stars.

Explanation:

Given that,

Diameter of the telescope lens = 0.25m

Wavelength = $5000A^{0}$

To find,

The minimum distance between the stars = ?

Procedure:

D = 2L. Sinθ./2

= 2 * 9.461 * 10^15 * 1.22 * 10^-6

= 1.22 * 10^11

so,

Δθ = (1.22 * 5000 * 10^-10)/0.25

Δθ = 2.44 * 10^-6

Learn more: Telescope lens

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