Home
Class 11
PHYSICS
Suppose the gravitational force varies i...

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius 'R' around the sun will be proportional to

A

`R^n`

B

`R^((n -2)//2)`

C

`R^((n + 1)//2)`

D

`R^((n-1)//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
As ` (GMm)/(R^n) = mR ((2pi)/(T))^2`
` therefore T^2 = (4pi R^(n + 1) )/(GM) " or " T^2 prop R^(n + 1) " or " T prop R^((n + 1)//1)`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    MTG GUIDE|Exercise NEET CAFE TOPICWISE PRACTICE QUESTIONS (ACCELERATION DUE TO GRAVITY AND ITS VARIATION WITH ALTITUDE AND DEPTH)|19 Videos

  • GRAVITATION

    MTG GUIDE|Exercise NEET CAFE TOPICWISE PRACTICE QUESTIONS (GRAVITATIONAL POTENTIAL ENERGY AND GRAVITATIONAL POTENTIAL)|6 Videos

  • GRAVITATION

    MTG GUIDE|Exercise NEET CAFE TOPICWISE PRACTICE QUESTIONS (KEPLER.S LAWS OF PLANETARY MOTION)|9 Videos

  • BEHAVIOUR OF PERFECT GAS AND KINETIC THEORY

    MTG GUIDE|Exercise AIPMT / NEET (MCQs)|11 Videos

  • KINEMATICS

    MTG GUIDE|Exercise AIPMT/ NEET MCQs|31 Videos

Similar Questions

Explore conceptually related problems

Suppose the gravitational force varies inversely as the n^(th) power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to-

Suppose the gravitational force varies inversely as then n th power of distance then the time period of a planet in circular orbit of radius r around the sun will be propotinal to

Suppose the gravitational force varies inverseley as the nth power of the distance. Show that the time period of a planet in circular orbit of raidus r arount the sun will be proportional to r^(n+1)//^(2) .

Suppose gravitational pull varies inversely as nth power of the distance. Show that the time period of a planet in circular orbit of radius R around the sun will be proportinal to R^((n+1)//2)

if the gravitaional force ware to vary inversely as m^(th) power of the distance then the time period of a planet in circular orbit of radius r aroung the sun will be proportional to

For motiion of planets in ellipticla orbits around the sun the central force is

Suppose the gravitational attraction varies inversely as the distance from the earth. The orbital velocity of a satellite in such a case varies as nth power of distance where n is equal to

The time period of a satellite in a circular orbit of radius R is T. The radius of the orbit in which time period is 8 T is