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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

User Stephen
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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.

User Berry
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