Maths-
General
Easy
Question
Solution of
is



- None of these
The correct answer is: None of these
Related Questions to study
physics-
Two charges
and
are placed 30 cm apart, as shown in the figure. A third charge
is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is
where k is

When charge
is at
, then its potential energy is

Where charge
is at
, then

Hence, change in potential energy





Where charge
Hence, change in potential energy
Two charges
and
are placed 30 cm apart, as shown in the figure. A third charge
is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is
where k is

physics-General
When charge
is at
, then its potential energy is

Where charge
is at
, then

Hence, change in potential energy





Where charge
Hence, change in potential energy
physics-
Figure shows three spherical and equipotential surfaces A, B and C round a point charge q. The potential difference
. If
and
be the distance between them. Then

Potential difference between two equipotential surfaces A and B.



Or

Or
Similarly,
Since,
therefore 

Or
Or
Similarly,
Since,
Figure shows three spherical and equipotential surfaces A, B and C round a point charge q. The potential difference
. If
and
be the distance between them. Then

physics-General
Potential difference between two equipotential surfaces A and B.



Or

Or
Similarly,
Since,
therefore 

Or
Or
Similarly,
Since,
physics-
Charges +q and –q are placed at points A and B respectively which are a distance
apart, C is the mid-point between A and B. The work done in moving a charge+
along the semicircle CRD is

In Ist case, when charge
is situated at C

Electric potential energy of system

In IInd case, when charge
is moved from C to D.

Electric potential energy of system in that case








Electric potential energy of system
In IInd case, when charge

Electric potential energy of system in that case
Charges +q and –q are placed at points A and B respectively which are a distance
apart, C is the mid-point between A and B. The work done in moving a charge+
along the semicircle CRD is

physics-General
In Ist case, when charge
is situated at C

Electric potential energy of system

In IInd case, when charge
is moved from C to D.

Electric potential energy of system in that case








Electric potential energy of system
In IInd case, when charge

Electric potential energy of system in that case
physics-
Consider three concentric shells of metal A, B and C are having radii a, b and c respectively as shown in the figure
Their surface charge densities are
respectively. Calculate the electric potential on the surface of shell A

The electric potential on the surface of shell

Or


Or
Consider three concentric shells of metal A, B and C are having radii a, b and c respectively as shown in the figure
Their surface charge densities are
respectively. Calculate the electric potential on the surface of shell A

physics-General
The electric potential on the surface of shell

Or


Or
physics-
Work required to set up the four charge configuration (as shown in the figure) is

Work is required to set up the four charge configuration







Work required to set up the four charge configuration (as shown in the figure) is

physics-General
Work is required to set up the four charge configuration







physics-
The points resembling equal potentials are

The points S and R are inside the uniform electric field, so these will be at equal potential.
The points resembling equal potentials are

physics-General
The points S and R are inside the uniform electric field, so these will be at equal potential.
physics-
In the following diagram the work done in moving a point charge from point P to point A, B and C is respectively as
then

When a positive charge is moved from one point to another in an electric of magnetic field, then under the influence of the field force acts on the particle and an external agent will have to do work against this force. But in the given case the charge moves under influence of no field, hence it does not experience any force therefore, no work is done.

In the following diagram the work done in moving a point charge from point P to point A, B and C is respectively as
then

physics-General
When a positive charge is moved from one point to another in an electric of magnetic field, then under the influence of the field force acts on the particle and an external agent will have to do work against this force. But in the given case the charge moves under influence of no field, hence it does not experience any force therefore, no work is done.

physics-
Three charges
and
are placed at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if
is equal to

Here total electrostatic potential energy is zero

On solving,


On solving,

Three charges
and
are placed at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if
is equal to

physics-General
Here total electrostatic potential energy is zero

On solving,


On solving,

physics-
A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure.
be the potentials at points A, B and C respectively. Then

At each point on the surface of a conducting sphere the potential is equal.
So,
So,
A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure.
be the potentials at points A, B and C respectively. Then

physics-General
At each point on the surface of a conducting sphere the potential is equal.
So,
So,
physics-
The figure shows electric potential V as a function of
. Rank the four regions according to the magnitude of
-component of the electric field E within them, greatest first

Electric field

For I region,
=constant



For II region,


For III region.
=constant


For IV region,

From these values, we have

For I region,

For II region,
For III region.
For IV region,
From these values, we have
The figure shows electric potential V as a function of
. Rank the four regions according to the magnitude of
-component of the electric field E within them, greatest first

physics-General
Electric field

For I region,
=constant



For II region,


For III region.
=constant


For IV region,

From these values, we have

For I region,

For II region,
For III region.
For IV region,
From these values, we have
maths-
The general solution of the equation
is
The general solution of the equation
is
maths-General
Maths-
Solution of
is given by
Solution of
is given by
Maths-General
Maths-
Equation of the curve passing through (3, 9) which satisfies the differential equation
is
Equation of the curve passing through (3, 9) which satisfies the differential equation
is
Maths-General
Maths-
If
and f(1) = 2, then f(3) =
If
and f(1) = 2, then f(3) =
Maths-General
Maths-
The degree and order of the differential equation of all tangent lines to the parabola x2 = 4y is:
Given, 


The degree and order of the differential equation of all tangent lines to the parabola x2 = 4y is:
Maths-General
Given, 

