Question
The force acting on a body moving along
-axis varies with the position of the particle as shown in the fig

The body is in stable equilibrium at
- Both
and
- Neither
nor
The correct answer is: 
When particle moves away from the origin then at position
force is zero and at
, force is positive (repulsive in nature) so particle moves further and does not return back to original position
the equilibrium is not stable Similarly at position
force is zero and at
, force is negative (attractive in nature) So particle return back to original position
the equilibrium is stable
Related Questions to study
A frictionless track
ends in a circular loop of radius
. A body slides down the track from point
which is it
height
. Maximum value of
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. A body slides down the track from point
which is it
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. Maximum value of
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Velocity-time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all forces on the particle is

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Domain of definition of the function
, is
Domain of definition of the function
, is
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 

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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 

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and
is

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(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
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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
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as shown. The magnitude possessed by
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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
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, remains constant for a further time
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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.