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Q.

Calculate the least value of the angular separation of two stars which can be resolved by a telescope of 200 cm aperture. If the aperture of the human eye be 2 mm and if the focal length of the eyepiece be 1 inch, what must be the minimum focal length of the objective if full resolving power of the telescope is to be utilized. Take λ=5000A0 .

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a

6.7 × 10–7 rad, 500 inches

b

1.65 × 10–7 rad, 1000 inches

c

3.35 × 10–7 rad, 1000 inches

d

None

answer is C.

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Detailed Solution

∆θ=1.22×5500×10-10200×10-2

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Calculate the least value of the angular separation of two stars which can be resolved by a telescope of 200 cm aperture. If the aperture of the human eye be 2 mm and if the focal length of the eyepiece be 1 inch, what must be the minimum focal length of the objective if full resolving power of the telescope is to be utilized. Take λ=5000A0 .