Home
Class 11
PHYSICS
A test particle is moving in a circular ...

A test particle is moving in a circular orbit in the gravitational field produced by a mass density `rho(r)=K/r^2`. Identify the correct relation between the radius R of the particle’s orbit and its period T:

A

TR is a contant

B

`T^(2)//R^(3)` is a constant

C

`T//R^(2)` is a constant

D

T/R is a constant

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    MODERN PUBLICATION|Exercise COMPETITION FILE ( Jee (Advanced) for IIT Entrance)|6 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise COMPETITION FILE ( C. Multiple Choice Questions)|12 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise COMPETITION FILE (B.(Multipe Choice Questions from Competitive Examinations) AIPMT/NEET & Other State Boards for Medical Entrance)|16 Videos

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (10)|12 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m moves in a circular orbit under the central potential field, U(r)==-C/r, where C is a positive constant. The correct radius -velocity graph of the particle's motion is.

A satellite is orbiting the earth in a circular orbit of radius r . Its

A particle of charge -q and mass m moves in a circular orbits of radius r about a fixed charge +Q .The relation between the radius of the orbit r and the time period T is

A particle of mass m is moving along a circle of radius r with a time period T . Its angular momentum is

A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the n^(th) power of R. If the period of rotation of the particle is T, then :

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

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 particle of mass m is moving on a circular path of radius r . Centripetal acceleration of the particle or radius r . Centripetal acceleration of the particle depends on time t according to relation a_(c ) = kt^(2) . What power is delievered to the particle ?

The speed v of a satellite moving in a circular orbit around the earth depends on the gravitational constant G , mass of the earth m_(e) and radius of circular orbit r . Estabish the relation using dimensions.