Answer:
Option (b) 18 AU
Explanation:
Data provided:
Orbital period = 76 years
Now,
From the Kepler’s third law
we have the relation
a³ = T²
here,
T is the orbital period in years
and,
a is the average distance from the sun ( in AU )
on substituting the value in the above relation, we get
a³ = 76²
or
a³ = 5776
or
a = ∛5776
or
a = 17.94 ≈ 18 AU
hence, the correct answer is option (b) 18 AU
