Question

Q. The distance of planet Jupiter from the sun is 5.2 times that of the Earth. Find the time period of revolution of Jupiter around the Sun.

Answer 1

let's use the formula of Kepler's Third Law, it states that

T = k.r^3/2

where

T is the period of revolution

r is the size of the orbit

and k is a constant

now, let's say for earth

T = k.r^3/2 (1)

and for Jupiter

T' = k.r'^3/2

here we are given that r' = 5.2r

so,

T' = k.(5.2r)^3/2 (2)

now, from (1) and (2), we get

T' / T = (r' / r)^3/2

or

T' = T.(5.2)^3/2

here T, the time period of revolution of earth = 1 year

so,

the time period of Jupiter will be

T' = 11.86 years