A telescope of aperture diameter 5 m is used to observe the moon from the earth

A telescope of aperture diameter 5 m is used to observe the moon from the earth. Distance between the moon and earth is 4 × 105 km. 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 5500 Å )

a) 60 m

b) 20 m

c) 600 m

d) 200 m

Shift 1 Jan 9 JEE Main 2020 Physics Papers With Solutions

Minimum angle for clear resolution,

θ= 1.22 (λ/a)

d = 1.22 (λ/a)d

r = 4×108 m

Aperture, a = 5

= 5500 A0

Distance = r d

= 4×108 ×1.22 (5500×10-10/5)

= 53.68

Nearest option is 60m.

Answer: (a)

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