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igor_vitrenko [27]
3 years ago
7

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
Chemistry
1 answer:
Elena-2011 [213]3 years ago
4 0

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 :

(\dfrac{T}{T'})^2=(\dfrac{R}{R'})^3

(\dfrac{T}{8T})^2=(\dfrac{R}{R'})^3  

\dfrac{1}{64}=(\dfrac{R}{R'})^3

R'=4\times R

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

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