The distance of the two planets from the Sun are `10^(13)m` and `10^(12) m`, respectively. Find the ratio of time periods and speeds of the two planets.

Options

A. `1/(sqrt(10))`
B. `100`
C. `10/(sqrt(10))`
D. `sqrt10`

Answer

C

Explanation

`T^(2)alphaa^(3)`
`T_(1)^(2)prop(10^(13))^(3)`
`(T^(2))^(2)prop(10^(12))^(3)`
`:. (T^(1))/(T^(2))=((10^(13))/(10^(13)))^(3/2)implies(T^(1))/(T^(2))=10//sqrt(10)`