Home
Class 11
PHYSICS
Keeping the mass of the earth constant, ...

Keeping the mass of the earth constant, if the radius of the earth decreases by 2%. What would be the change in .g.?

Text Solution

Verified by Experts

We know that the relation between .g. and .G. is g= `(GM)/(R^2)`
When mass is kept as constant and radius is decreased by 2% then`(Delta R)/( R) xx 100 = 2`
From distribution of errors in multiplications and divisions `(Delta g)/(g) xx 100 = -2(DeltaR)/(R) xx 100`
% change in `g=-2 xx 2 = -4% ` -ve sign indicates that when R decreases .g. increases.
Promotional Banner

Similar Questions

Explore conceptually related problems

If both the mass and radius of the earth decrease by 1% the value of

Keeping the mass of the earth as constant, if its radius is reduced to 1/4th of its initial value, then the period of revolution of the earth about its own axis and passing through the centre, (in hours) is (assume the earth to be a solid sphere and its initial period of rotation as 24 h)

Calculate the surface potentail of the earth. Gravitational constant G, mass of the earth and the radius of the earth are given ?

The acceleration due to gravity at a piece depends on the mass of the earth M, radius of the earth R and the gravitational constant G. Derive an expression for g?

A body of mass m is raised to a height 10 R from the surface of the earth, where R is the radius of the earth. Find the increase in potential energy. (G = universal constant of gravitational, M = mass of the earth and g= acceleration due to gravity)

A body of mass m is raised to a height 10 R from the surface of the earth, where R is the radius of the earth. Find the increase in potential energy. (G = universal constant of gravitational, M = mass of the earth and g= acceleration due to gravity)

A planet has mass equal to mass of the earth but radius one fourth of radius of the earth . Then escape velocity at the surface of this planet will be

An earth satellite of mass m revolves in a circular orbit at a height h from the surface of the earth. R is the radius of the earth and g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by

If radius of earth is reduced to half without changing its mass,

The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R , the radius of the planet would be