Answer :

Given,

Diameter of Earth’s orbit, d = 3 × 1011 m


Radius of earth’s orbit, r = d/2


r = (3×1011m)/2 = 1.5×1011 m


Parallax angle, θ = 1”


θ = 1’/60


θ = 1°/(60×60)





We know,


θ = Arc/Radius


θ = r/x


x = r/θ



x = 3.09 × 1016 m


Hence, 1 parsec = 3.09 × 1016 m


NOTE: The parsec is a unit of length used to measure large distances to astronomical objects outside the Solar System. Parallax is a difference in the apparent position of an object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines of sight.


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