The aperture diameter of a telescope is 5 m. The separation between the moon and the earth is 4×105km. With light of wavelength of 5500 A0, the minimum separation between objects on the surface of moon, so that they are just resolved, is close to:

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20 m

200 m

60 m

600 m

answer is C.

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Detailed Solution

Let say the minimum separation between objects on the surface of moon = xSeparation between the moon and the earth = d=4×108 mWavelength =λ=5500×10−10 mAperture Diameter =5 m∴xd=1.22λa⇒x=1.22λad⇒x=1.22×5500×10−10×4×1085=53.68≃60m

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