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Q.

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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a

20 m

b

200 m

c

60 m

d

600 m

answer is C.

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Detailed Solution

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