Home
Class 12
PHYSICS
Imagine a light planet revoling around a...

Imagine a light planet revoling around a very massiv star in a circular orbit of radius R with a period of revolution T. if the gravitatinal force of attraction between the planet and the star is proportional to `R-(5//2)`

A

`R^3`

B

`R^(3//2)`

C

`R^(5//2)`

D

`R^(7//2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Centripetal force `=mRomega^2=mR((2pi)/T)^2`
`= (4pi^2mR)/T^2`
Gravitational force `=KR^(-5//2)` (Given)
`KR^(-5//2)=(4pi^2mR)/T^2`
`implies T^2 K = 4pi^2m.R^(7//2)`
`:. T^2 prop R^(7//2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. if the gravitational force of attraction between the planet and the star is proportational to R^(-5//2) , then (a) T^(2) is proportional to R^(2) (b) T^(2) is proportional to R^(7//2) (c) T^(2) is proportional to R^(3//3) (d) T^(2) is proportional to R^(3.75) .

Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T.If the gravitational force of attraction between the planet and the star is proportional to r^(-3) ,then the square of the time period will be proportional to

Imagine a light planet revolving around a massive star in a circular orbit of raidus r with a a period of revolution T. If the gravitational force of attraction between planet and the star is proportioanl to r^(-5)//^(2) , then find the relation between T and r.

A planet is revolving around a very massive star in a circular orbit of radius r with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to r^(-n), then T^(2) is proportional to

A small planet is is revolving around a very massive star in a circular orbit of radius r with a period of revolution. T is the gravitational force between the planet and the star is proportional to r ^(-5//2) ,then T will be proportional to

Suppose a light planet is revolving around a heavy star in a circular orbit of radius r and period of revolution T. The gravitational force of attraction between the star and the planet is proportional to (1)/(r^(3//2)) . Derive the relation between T and r.

A planet is revolving around a star in a circular orbit of radius R with a period T. If the gravitational force between the planet and the star is proportional to R^(-3//2) , then