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Question

A telescope of aperture diameter 5m is used to observe the moon from the earth. Distance between the moon and earth is 4×105km. The minimum distance between two points on the moon’s surface which can be resolved using this telescope is close to (Wavelength of light is 5500A)


A

60m

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B

20m

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C

600m

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D

200m

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Solution

The correct option is A

60m


Step 1. Given Data:

Diameter of the aperture, D=5m

Distance between the moon and the earth, d=4×108m

Wavelength, λ=5500×1010m

Let the minimum distance between two points on the moon’s surface be s.

Step 2. Minimum angle, θ for clear resolution:

θ=1.22λD1s=dθθ=sd2

Step 3: Calculating the minimum distance between two points, s

Equating equation 1 and equation 2,

sd=1.22λDs4×108=1.22×5500×10-105s=53.68m

Nearest option is 60m

Hence, the correct option is (A).


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