Question
If
represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively(as shown)in the gravitational field of a point mass m. Find the correct relation between 

The correct answer is: 
Gravitational field is a conservative force field. In a conservative force field work done is path independent.

Related Questions to study
Given below is a graph between a variable force
(along
-axis) and the displacement
(along
-axis) of a particle in one dimension. The work done by the force in the displacement interval between
and
is

Given below is a graph between a variable force
(along
-axis) and the displacement
(along
-axis) of a particle in one dimension. The work done by the force in the displacement interval between
and
is

A particle of mass
moving with a velocity
makes an elastic one dimensional collision with a stationary particle of mass
establishing a contact with it for extremely small time
. Their force of contact increases from zero to
linearly in time
, remains constant for a further time
and decreases linearly from
to zero in further time
as shown. The magnitude possessed by
is

A particle of mass
moving with a velocity
makes an elastic one dimensional collision with a stationary particle of mass
establishing a contact with it for extremely small time
. Their force of contact increases from zero to
linearly in time
, remains constant for a further time
and decreases linearly from
to zero in further time
as shown. The magnitude possessed by
is

Let
be a set containing 10 distinct elements, then the total number of distinct functions from
to
is-
The domain is defined as the set which is to input in a function. We say that input values satisfy a function. The range is defined as the actual output supposed to be obtained by entering the domain of the function.
Co-domain is defined as the values that are present in the right set that is set Y, possible values expected to come out after entering domain values.
Let
be a set containing 10 distinct elements, then the total number of distinct functions from
to
is-
The domain is defined as the set which is to input in a function. We say that input values satisfy a function. The range is defined as the actual output supposed to be obtained by entering the domain of the function.
Co-domain is defined as the values that are present in the right set that is set Y, possible values expected to come out after entering domain values.