Q.

The aperture of the largest telescope in the wold is ≈5 meters. If the separation between the moon and the earth is ≈4×105 km and the wavelength of visible light is ≈5000Å then the minimum separation between objects on the surface of moon which can be just resolved is

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a

≈1m

b

≈10m

c

≈50m

d

≈200m

answer is C.

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Detailed Solution

If θ be the angle of the cone of light from the object and d, the diameter of the object, thenθ=1⋅22λd or d=1⋅22λθ  Here θ= diameter of telescope  distance of moon =54×108 d=1⋅22×5000×10−105/4×108≈50m
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