Advertisement Remove all ads

# Div » P the Time Taken by Mars to Revolve Round the Sun is 1.88 Years. Find the Ratio of Average Distance Between Mars and the Sun to that Between the Earth and the Sun. - Physics

Sum

The time taken by Mars to revolve round the Sun is 1.88 years. Find the ratio of average distance between Mars and the sun to that between the earth and the sun.

Advertisement Remove all ads

#### Solution

According to Kepler's laws of planetary motion, the time period of revolution of a planet about the Sun is directly proportional to the cube of the distance between their centres.
i.e., T2 $\propto$ R3

$\Rightarrow \frac{T_m^2}{T_e^2} = \frac{R_m^3}{R_e^3}$

$\Rightarrow \left( \frac{R_m}{R_e} \right)^3 = \left( \frac{1 . 88}{1} \right)^2$

$\therefore \frac{R_m}{R_e} = \left( 1 . 88 \right)^{2/3} = 1 . 52$

Is there an error in this question or solution?
Advertisement Remove all ads

#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 11 Gravitation
Q 29 | Page 227
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications

Forgot password?