Maths-

Solution of differential equation xdy – ydx = 0 represents

Maths-General

- circle whose centre is at origin
- a rectangular hyperbola
- straight line passing through origin
- parabola whose vertex is at origin

#### Answer:The correct answer is: straight line passing through origin

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### Related Questions to study

physics-

#### Two parallel plates of area are separated by two different dielectric as shown in figure. The net capacitance is

#### Two parallel plates of area are separated by two different dielectric as shown in figure. The net capacitance is

physics-General

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#### A network of six identical capacitors, each of value, is made as shown in the figure.

The equivalent capacitance between the points is

In the given circuit capacitor’s (1) (2) and (3) are connected in series, hence equivalent capacitance is

This is connected in parallel with (4).

The three capacitor’s (5), (6) are now connected in series.

Equivalent capacitance is

This is connected in parallel with (4).

The three capacitor’s (5), (6) are now connected in series.

Equivalent capacitance is

#### A network of six identical capacitors, each of value, is made as shown in the figure.

The equivalent capacitance between the points is

physics-General

In the given circuit capacitor’s (1) (2) and (3) are connected in series, hence equivalent capacitance is

This is connected in parallel with (4).

The three capacitor’s (5), (6) are now connected in series.

Equivalent capacitance is

This is connected in parallel with (4).

The three capacitor’s (5), (6) are now connected in series.

Equivalent capacitance is

physics-

#### The equivalent capacitance between the points in the following circuit is

The two capacitors each of value 1.5 are in parallel. So, their equivalent capacitance

Now, three capacitors each of value are in series. Hence, their equivalent capacitance is given by

or

or

Now, three capacitors each of value are in series. Hence, their equivalent capacitance is given by

or

or

#### The equivalent capacitance between the points in the following circuit is

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The two capacitors each of value 1.5 are in parallel. So, their equivalent capacitance

Now, three capacitors each of value are in series. Hence, their equivalent capacitance is given by

or

or

Now, three capacitors each of value are in series. Hence, their equivalent capacitance is given by

or

or

physics-

#### The equivalent capacitance of the combination shown in figure below is

The three capacitors are in parallel hence, their equivalent capacitance

#### The equivalent capacitance of the combination shown in figure below is

physics-General

The three capacitors are in parallel hence, their equivalent capacitance

physics-

#### A capacitor of capacitance is filled with two dielectrics of dielectric constant 4 and 6. What is the new capacitance?

Initially, the capacitance of capacitor

…(i)

When it is filled with dielectric of dielectric constant as shown, then there are two capacitors connected is parallel. So,

(as area becomes half)

Using Eq. (i), we obtain

…(i)

When it is filled with dielectric of dielectric constant as shown, then there are two capacitors connected is parallel. So,

(as area becomes half)

Using Eq. (i), we obtain

#### A capacitor of capacitance is filled with two dielectrics of dielectric constant 4 and 6. What is the new capacitance?

physics-General

Initially, the capacitance of capacitor

…(i)

When it is filled with dielectric of dielectric constant as shown, then there are two capacitors connected is parallel. So,

(as area becomes half)

Using Eq. (i), we obtain

…(i)

When it is filled with dielectric of dielectric constant as shown, then there are two capacitors connected is parallel. So,

(as area becomes half)

Using Eq. (i), we obtain

physics-

#### In the given network, the value of , so that an equivalent capacitance between and is

Or

#### In the given network, the value of , so that an equivalent capacitance between and is

physics-General

Or

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#### The total energy stored in the condenser system shown in the figure will be

6 and 3 capacitors are in series

Total energy,

Total energy,

#### The total energy stored in the condenser system shown in the figure will be

physics-General

6 and 3 capacitors are in series

Total energy,

Total energy,

physics-

#### Effective capacitance between points in the figure, shown is

The points will be at same potentials since,

Therefore, capacitance of 2 will be unaffected.

So, the equivalent circuit can be shown as.

The effective capacitance in upper arm in series, is given by

The effective capacitance in lower arm in series is given by

Hence, the resultant capacitance in parallel is given by

Therefore, capacitance of 2 will be unaffected.

So, the equivalent circuit can be shown as.

The effective capacitance in upper arm in series, is given by

The effective capacitance in lower arm in series is given by

Hence, the resultant capacitance in parallel is given by

#### Effective capacitance between points in the figure, shown is

physics-General

The points will be at same potentials since,

Therefore, capacitance of 2 will be unaffected.

So, the equivalent circuit can be shown as.

The effective capacitance in upper arm in series, is given by

The effective capacitance in lower arm in series is given by

Hence, the resultant capacitance in parallel is given by

Therefore, capacitance of 2 will be unaffected.

So, the equivalent circuit can be shown as.

The effective capacitance in upper arm in series, is given by

The effective capacitance in lower arm in series is given by

Hence, the resultant capacitance in parallel is given by

physics-

#### If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as

#### If a cooling curve is drawn taking t(s) along X-axis and temperature (q) along Y-axis, it appears as

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#### Equivalent capacitance between is

The capacitors 2 and 2 of arm are in series. So, their equivalent capacitance is 1 which is in parallel with capacitor of 1 of arm .

So, equivalent capacitance now is 2.

This capacitance is now in series with 2 capacitance of arm which equivalents to 1 is in parallel with 1 capacitance of arm

So, final effective capacitance=2.

#### Equivalent capacitance between is

physics-General

The capacitors 2 and 2 of arm are in series. So, their equivalent capacitance is 1 which is in parallel with capacitor of 1 of arm .

So, equivalent capacitance now is 2.

This capacitance is now in series with 2 capacitance of arm which equivalents to 1 is in parallel with 1 capacitance of arm

So, final effective capacitance=2.

physics-

#### Four capacitors are connected in a circuit as shown in the following figure. Calculate the effective capacitance between the points .

Effective capacitance of

Now, are in parallel, therefore effective capacitance

Now, are in series, therefore,

effective capacitance between points

Now, are in parallel, therefore effective capacitance

Now, are in series, therefore,

effective capacitance between points

#### Four capacitors are connected in a circuit as shown in the following figure. Calculate the effective capacitance between the points .

physics-General

Effective capacitance of

Now, are in parallel, therefore effective capacitance

Now, are in series, therefore,

effective capacitance between points

Now, are in parallel, therefore effective capacitance

Now, are in series, therefore,

effective capacitance between points

physics-

#### A lead shot of diameter 1mm falls through a long column of glycerine The variation of the velocity ‘v’ with distance covered (s) is represented by

#### A lead shot of diameter 1mm falls through a long column of glycerine The variation of the velocity ‘v’ with distance covered (s) is represented by

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maths-

#### Integrating factor of the differential equation is

#### Integrating factor of the differential equation is

maths-General

physics-

#### The equivalent capacitance of the combination of the capacitors is

The 10 and 6 capacitors are connected in parallel, hence resultant capacitance is

This is connected in series with 4capacitor, hence effective capacitance is

This is connected in series with 4capacitor, hence effective capacitance is

#### The equivalent capacitance of the combination of the capacitors is

physics-General

The 10 and 6 capacitors are connected in parallel, hence resultant capacitance is

This is connected in series with 4capacitor, hence effective capacitance is

This is connected in series with 4capacitor, hence effective capacitance is

physics-

#### Four plates of equal area are separated by equal distance and are arranged as shown in the figure. The equivalent capacity is

The given circuit is equivalent to a parallel combination of two identical capacitors.

Hence, equivalent capacitance between points is

Hence, equivalent capacitance between points is

#### Four plates of equal area are separated by equal distance and are arranged as shown in the figure. The equivalent capacity is

physics-General

The given circuit is equivalent to a parallel combination of two identical capacitors.

Hence, equivalent capacitance between points is

Hence, equivalent capacitance between points is