Maths-

General

Easy

### Question

#### The solution of the differential equation represent

- straight lines
- circles
- parabolas
- ellipses

### Hint:

In the question we have to first find the solution of the given equation by integrating it then we will look at the solution and observe the obtained equation to determine the type.

#### The correct answer is: parabolas

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### Related Questions to study

physics-

#### The stress - strain graphs for materials A and B are as shown. Choose the correct alternative

#### The stress - strain graphs for materials A and B are as shown. Choose the correct alternative

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#### In the experiment to determine Young’s modulus of the material of a wire under tension used in the arrangement as shown. The percentage error in the measurement of length is ‘a’, in the measurement of the radius of the wire is ‘b’ and in the measurement of the change in length of the wire is ‘c’. Percentage error in the measurement of Young’s modulus for a given load is

#### In the experiment to determine Young’s modulus of the material of a wire under tension used in the arrangement as shown. The percentage error in the measurement of length is ‘a’, in the measurement of the radius of the wire is ‘b’ and in the measurement of the change in length of the wire is ‘c’. Percentage error in the measurement of Young’s modulus for a given load is

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#### The graph shows the change ' ' Dl in the length of a thin uniform wire used by the application of force ‘F’ at different temperatures T_{1} and T_{2} The variation suggests that

#### The graph shows the change ' ' Dl in the length of a thin uniform wire used by the application of force ‘F’ at different temperatures T_{1} and T_{2} The variation suggests that

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#### The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line

#### The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line

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#### A 2 capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch is turned to positions 2 is

(say)

This charge will remain constant after switch is shifted from position 1 to position 2.

Energy dissipated80% of the initial stored energy .

This charge will remain constant after switch is shifted from position 1 to position 2.

Energy dissipated80% of the initial stored energy .

#### A 2 capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch is turned to positions 2 is

physics-General

(say)

This charge will remain constant after switch is shifted from position 1 to position 2.

Energy dissipated80% of the initial stored energy .

This charge will remain constant after switch is shifted from position 1 to position 2.

Energy dissipated80% of the initial stored energy .

physics-

#### What is the potential difference between points in the circuit shown?

Consider the charge distribution as shown. Considering the branch on upper side, we have

Here,

…(i)

…(ii)

From Eqs. (i) and (ii), we get

Similarly for the lower side branch

…(iii)

...(iv)

From Eqs. (iii) and (iv)

Here,

…(i)

…(ii)

From Eqs. (i) and (ii), we get

Similarly for the lower side branch

…(iii)

...(iv)

From Eqs. (iii) and (iv)

#### What is the potential difference between points in the circuit shown?

physics-General

Consider the charge distribution as shown. Considering the branch on upper side, we have

Here,

…(i)

…(ii)

From Eqs. (i) and (ii), we get

Similarly for the lower side branch

…(iii)

...(iv)

From Eqs. (iii) and (iv)

Here,

…(i)

…(ii)

From Eqs. (i) and (ii), we get

Similarly for the lower side branch

…(iii)

...(iv)

From Eqs. (iii) and (iv)

Maths-

#### If m and n are order and degree of the equation then

#### If m and n are order and degree of the equation then

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#### What is the potential difference across 2F capacitor in the circuit shown?

Net emf in the circuit here

volt

While the equivalent capacity

Charge on each capacitor

Potential difference across capacitor

#### What is the potential difference across 2F capacitor in the circuit shown?

physics-General

Net emf in the circuit here

volt

While the equivalent capacity

Charge on each capacitor

Potential difference across capacitor

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#### Two insulating plates are both uniformly charged in such a way that the potential difference between them is V. (, plate 2 is at a higher potential). The plates are separated by m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e=1.6

Since so electric field will point from plate 2 to plate 1.

The electron will experience an electric force, opposite to the direction of electric field, and hence move towards the plate 2.

Use work-energy theorem to find speed of electron when it strikes the plate 2.

Where is the required speed.

The electron will experience an electric force, opposite to the direction of electric field, and hence move towards the plate 2.

Use work-energy theorem to find speed of electron when it strikes the plate 2.

Where is the required speed.

#### Two insulating plates are both uniformly charged in such a way that the potential difference between them is V. (, plate 2 is at a higher potential). The plates are separated by m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e=1.6

physics-General

Since so electric field will point from plate 2 to plate 1.

The electron will experience an electric force, opposite to the direction of electric field, and hence move towards the plate 2.

Use work-energy theorem to find speed of electron when it strikes the plate 2.

Where is the required speed.

The electron will experience an electric force, opposite to the direction of electric field, and hence move towards the plate 2.

Use work-energy theorem to find speed of electron when it strikes the plate 2.

Where is the required speed.

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#### Calculate the force ' ' F that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height 4m. Radius of the wheel is 1m and its mass is

applying principle of moments

F (0.6)=100(0.8)

ÞF=133.3N

F (0.6)=100(0.8)

ÞF=133.3N

#### Calculate the force ' ' F that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height 4m. Radius of the wheel is 1m and its mass is

physics-General

applying principle of moments

F (0.6)=100(0.8)

ÞF=133.3N

F (0.6)=100(0.8)

ÞF=133.3N

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#### A wheel of radius ‘r’ and mass ‘m’ stands in front of a step of height 'h’ The least horizontal force which should be applied to the axle of the wheel to allow it to raise onto the step is

Applying the condition of rotational equilibrium,

But

But

#### A wheel of radius ‘r’ and mass ‘m’ stands in front of a step of height 'h’ The least horizontal force which should be applied to the axle of the wheel to allow it to raise onto the step is

physics-General

Applying the condition of rotational equilibrium,

But

But

Maths-

#### The order of differential equation is

order = 2

#### The order of differential equation is

Maths-General

order = 2

physics-

#### Two condensers, one of capacity and the other of capacity , are connected to a volt battery , as shown. The work done in charging fully both the condensers is

The two capacitor the circuit are in parallel order, hence

The work done in charging the equivalent capacitor is stored in the form of potential energy.

Hence,

The work done in charging the equivalent capacitor is stored in the form of potential energy.

Hence,

#### Two condensers, one of capacity and the other of capacity , are connected to a volt battery , as shown. The work done in charging fully both the condensers is

physics-General

The two capacitor the circuit are in parallel order, hence

The work done in charging the equivalent capacitor is stored in the form of potential energy.

Hence,

The work done in charging the equivalent capacitor is stored in the form of potential energy.

Hence,

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#### A cubical block of side ‘L’ rests on a rough horizontal surface with coefficient of friction ‘m’ A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

applying the condition of rotational equilibrium

#### A cubical block of side ‘L’ rests on a rough horizontal surface with coefficient of friction ‘m’ A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

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applying the condition of rotational equilibrium

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#### If the time period of a pendulum is 1 sec, then what is the length of the pendulum at point of intersection of l-T and graph

#### If the time period of a pendulum is 1 sec, then what is the length of the pendulum at point of intersection of l-T and graph

physics-General