Respuesta :

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

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