Home
Class 11
PHYSICS
Imagine a light planet revolving around ...

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)`.

A

`R^(3)`

B

`R^(7//2)`

C

`R^(5//2)`

D

`R^(3//2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVITATION

    ERRORLESS |Exercise GQ|10 Videos
  • GRAVITATION

    ERRORLESS |Exercise Assertion and Reasons|33 Videos
  • GRAVITATION

    ERRORLESS |Exercise Kepler’s Laws of Planetary Motion|51 Videos
  • FRICTION

    ERRORLESS |Exercise MCQ S|125 Videos
  • MOTION IN ONE DIMENSION

    ERRORLESS |Exercise Motion In One Dimension|24 Videos

Similar Questions

Explore conceptually related problems

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)

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

Knowledge Check

  • 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^(-5//2) , then T^2 is proportional to

    A
    `R^3`
    B
    `R^(7//2)`
    C
    `R^(3//2)`
    D
    `R^(7//3)`
  • 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
    `r^(n+1)`
    B
    `r^(n+2)`
    C
    `r^((n+1)//2)`
    D
    none
  • 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 planet and star is proportional to R^(-5//2) , then T^(2) is proportional to

    A
    `R^(3)`
    B
    `R^(3//2)`
    C
    `R^(5//2)`
    D
    `R^(7//2)`
  • Similar Questions

    Explore conceptually related problems

    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.

    Imagine a light planet revolving around a very massive star in a circular orbit of radius r with a period of revolution T. On what power of r will the square of time period will depend if the gravitational force of attraction between the planet and the star is proportional to r^(-5//2) .

    Imagine a light planet revolving around a vary massive star in a circular orbit of radius R with a period of revolution T. if the gravitational force of attraction between planet and star is proportional to R^(-5//2) , 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

    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