A planet at a distance 2.8 x 106 km from earth
subtends an angle of 27 minute at our eye. The
estimated radius of planet is (take T-
(1) 5,500 km
(3) 22,000 km
2) 11,000 km
(4) 44,000 km
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Answer:
8k it and you don't think you could be that
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Dear Student,
◆ Answer -
(2) 11,000 km
● Explaination -
# Given -
θ = 27 min = 27/60° = 27/60 × π/180 rad
x = 2.8x10^6 km = 2.8×10^9 m
# Solution -
As we know, angle of parallax is calculated by formula -
θ = d / x
27/60 × π/180 = d / 2.8×10^9
d = π/400 × 2.8×10^9
d = 22×10^6 m
d = 22000 km
Radius of the planet will be -
r = d/2
r = 22000/2
r = 11000 km
Therefore, Radius of the planet will be 11000 km.
Hope this helps you...
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