Home
Class 12
PHYSICS
A body moves in a circular orbit of radi...

A body moves in a circular orbit of radius R under the action of a central force. Potential due to the central force is given by V(r) = kr (k is a positive constant). Period of revolution of the body is proportional to-

A

`R^(1//2)`

B

`R^(-1//2)`

C

`R^(3//2)`

D

`R^(-5//2)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • KVPY 2021

    KVPY PREVIOUS YEAR|Exercise PART I (Chemistry)|2 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m moves under the action of a central force. The potential energy function is given by U(r)=mkr^(3) Where k is a positive constant and r is distance of the particle from the centre of attraction. (a) What should be the kinetic energy of the particle so that it moves in a circle of radius a0 about the centre of attraction? (b) What is the period of this circualr motion ?

Anelectron of mass m, moves around the nucleus in a circular orbit of radius r under the action of ccentripetal force F . The equivalent electric current is

Knowledge Check

  • An electron moves in circular orbit of radius r with constant speed v.The force acting in it is

    A
    `(mv^2)/r`
    B
    mvr
    C
    `(m^2v^2)/r`
    D
    zero

  • A particle is moving in a circular path of radius a under the action of an attractive potential U=-(k)/(2r^(2)) . Its total energy is :

    A
    `-(3)/(2)(k)/(a^(2))`
    B
    `-(k)/(4a^(2))`
    C
    `(k)/(2a^(2))`
    D
    Zero

  • A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance r . The speed of the particle is

    A
    propotional to `r^(2)`
    B
    independent of `r`
    C
    propotional to `r`
    D
    propotional to `1//r`

    • Similar Questions

    Explore conceptually related problems

    Charged particle of charge q mass m moves in a circular path of radius r under the action of force F .The equivalent current is

    Charged particle of charge q mass m moves in a circular path of radius r under the action of force F .The equivalent current is

    A particle of mass 'm' moves with a constant speed along a circular path of radius r under the action of a force F .Its speed is given by

    A particle of mass M moves with constant speed along a circular path of radius r under the action of a force F. Its speed is

    A particle moves in a circular orbit under the action of a central attractive force which is inversely proportional to the distance 'r' . The speed of the particle is

    Home
    Profile