The distance of Neptune and Saturn from the Sun are nearly 1013 m and 1012 m respectively. Ratio of their time period will be

Question

The distance of Neptune and Saturn from the Sun are nearly 1013 m and 1012 m respectively. Ratio of their time period will be (A) 10 (B) 100 (C) 10√10 (D) 1000

Tardigrade Admin · Accepted Answer

Using Kepler's Third law of gravitation, we get (Tn2/Ts2)=(Rn3/Rs3) (Tn /Ts )=[(1 0 13/1 0 12)]3 / 2 =(√10)3=10√10

Q. The distance of Neptune and Saturn from the Sun are nearly $1 0^{13} m$ and $1 0^{12} m$ respectively. Ratio of their time period will be

$10$

$100$

$1010$

$1000$

Using Kepler's Third law of gravitation, we get
$\frac{T _{n}^{2}}{T _{s}^{2}} = \frac{R _{n}^{3}}{R _{s}^{3}}$
$\frac{T _{n}}{T _{s}} = [\frac{1 0 _{13}}{1 0 _{12}}]^{3/2}$
$= (10)^{3} = 1010$

Q. The distance of Neptune and Saturn from the Sun are nearly 1013m and 1012m respectively. Ratio of their time period will be

10

100

1010​

1000