Question

The distance of two planets from the sun are 1013m and 1012 m respectively. Find the ratio of time periods and orbital speeds of the two planets

Answer 1

Explanation:

Given The distance of two planets from the sun are 1013m and 1012 m respectively. Find the ratio of time periods and orbital speeds of the two planets

• We need to find the ratio of time period and orbital speed of two planets.
• So T^2 is proportional to r^3
• So Ta / Tb = (ra/rb)^3/2
• Ta / Tb = 10^3/2
• So now ratio of velocity will be
• V = 2π r / T
• Va / Vb = ra / Ta / rb / Tb
• Va / Vb = ra / rb / Ta / Tb
• So Va / Vb = 10 / 10^3/2
• Va / Vb = 10^- ½
•            = 1/10^1/2
•            = 1 / √10