Maths-
General
Easy
Question
Order and degree of differential equation
are
- 4,2
- 1,2
- 1,4
- 2,4
Hint:
In this question we have to find the order and degree of the given differential equation. For this we will first arrange the equation in a proper way. Now we know that the order of a differential equation is the order of the highest order derivative involved in the differential equation and the degree of a differential equation is the exponent of the highest order derivative involved in the differential equation.
The correct answer is: 2,4
Related Questions to study
Maths-
The solution of
is
The solution of
is
Maths-General
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For the given figure, calculate zero correction.

For the given figure, calculate zero correction.

physics-General
physics-
Three capacitors
are connected as shown in the figure to a battery of
volt. If the capacitor
breaks down electrically the change in total charge on the combination of capacitors is

Since,
are parallel to their equivalent capacitance will be
. Now,
are in series, so the net equivalent capacitances of circuit.



Since,
is the voltage of the battery, so charge on this system


If the capacitor
breaks down then total equivalent capacitance

New charge stored


Change in total charge




Since,
If the capacitor
Change in total charge
Three capacitors
are connected as shown in the figure to a battery of
volt. If the capacitor
breaks down electrically the change in total charge on the combination of capacitors is

physics-General
Since,
are parallel to their equivalent capacitance will be
. Now,
are in series, so the net equivalent capacitances of circuit.



Since,
is the voltage of the battery, so charge on this system


If the capacitor
breaks down then total equivalent capacitance

New charge stored


Change in total charge




Since,
If the capacitor
Change in total charge
physics-
The charge deposited on
capacitor the circuit is


As the capacitors 4
Charge in the circuit

Since, the capacitors
Also
The charge deposited on
capacitor the circuit is

physics-General

As the capacitors 4
Charge in the circuit

Since, the capacitors
Also
Maths-
If
then y satisfies
If
then y satisfies
Maths-General
physics-
In the figure, a proton moves a distance d in a uniform electric field E as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease?

Since, the proton is moving against the direction of electric field so, work is done by the proton against electric field. It implies that electric field does negative work on the proton.
Again, proton is moving in electric field from low potential region to high potential region hence, its potential energy increases.
Again, proton is moving in electric field from low potential region to high potential region hence, its potential energy increases.
In the figure, a proton moves a distance d in a uniform electric field E as shown in the figure. Does the electric field do a positive or negative work on the proton? Does the electric potential energy of the proton increase or decrease?

physics-General
Since, the proton is moving against the direction of electric field so, work is done by the proton against electric field. It implies that electric field does negative work on the proton.
Again, proton is moving in electric field from low potential region to high potential region hence, its potential energy increases.
Again, proton is moving in electric field from low potential region to high potential region hence, its potential energy increases.
maths-
Solution of
is
Solution of
is
maths-General
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-