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 chargeis at 
, then
Hence, change in potential energy
is at , then its potential energy isWhere charge
is at , thenHence, 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 chargeis at , then
Hence, change in potential energy
is at , then its potential energy isWhere charge
is at , thenHence, 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,
therefore 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,
therefore 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 chargeis moved from C to D.
Electric potential energy of system in that case
is situated at CElectric potential energy of system
In IInd case, when charge
is moved from C to D.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 chargeis moved from C to D.
Electric potential energy of system in that case
is situated at CElectric potential energy of system
In IInd case, when charge
is moved from C to D.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,
=constantFor II region,
For III region.
=constantFor 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,
=constantFor II region,
For III region.
=constantFor 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,
