Question

8. The time period of artificial satellite in a circular orbit of radius R is T. The radius of the orbit in which time period is 8T is: (b) 3R

Answer 1

Step-by-step explanation:

It is given that,

The time period of artificial satellite in a circular orbit of radius R is T. The relation between the time period and the radius is given by :

`T^2\propto R^3`

The radius of the orbit in which time period is 8T is R'. So, the relation is given by :

`((T)/(T'))^2=((R)/(R'))^3`

`((T)/(8T))^2=((R)/(R'))^3`

`(1)/(64)=((R)/(R'))^3`

`R'=4* R`

So, the radius of the orbit in which time period is 8T is 4R. Hence, this is the required solution.