Central Forces MCQ Level – 1 - IIT JAM MCQ

If a point mass is placed inside a uniform spherical shell, the gravitational force on the point mass is zero. Hence, the gravitational force exerted by the shell on the point mass is zero.

Due to effect of rotation of earth

In elliptical orbit sun is at one of the foci hence the distance between the planet and sun changes as planet revolves hence linear speed, kinetic energy and potential energy of planet do not remain constant.
Angular momentum about the sun remains constant.

The correct answer is: angular momentum about the sun

Let the minimum speed imparted to the particle of mass  m  so that it just reaches surface of earth is  v.
Applying conservation of energy

Solving we get 
The correct answer is: 

The correct answer is: 

T² ∝ R³

The correct answer is: 

Acceleration due to gravity at a height h from earth surface 

⇒ h = 9 R
The correct answer is: 9R

⇒ 
The correct answer is: 

A geostationary satellite has time period  same as that of earth.

The correct answer is: whose time period is same as that of earth

Let us put a test mass m₀ at the center. Forces acting on it are 

These forces are of equal magnitude and act at 120° with each other .
Hence, 

∴ Fg = 0
The correct answer is: 0