Maths-

#### Solution of differential equation is

Maths-General

#### Answer:The correct answer is:

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physics-

#### In given circuit when switch has been closed then charge on capacitor and respectively are

The circuit is given as

Let be the charge after switch has been closed.

Then,

…(i)

But we know that, charge is conserved

or …(ii)

On putting the value of Eq. (ii)

Now, from Eq. (i)

Hence,

Let be the charge after switch has been closed.

Then,

…(i)

But we know that, charge is conserved

or …(ii)

On putting the value of Eq. (ii)

Now, from Eq. (i)

Hence,

#### In given circuit when switch has been closed then charge on capacitor and respectively are

physics-General

The circuit is given as

Let be the charge after switch has been closed.

Then,

…(i)

But we know that, charge is conserved

or …(ii)

On putting the value of Eq. (ii)

Now, from Eq. (i)

Hence,

Let be the charge after switch has been closed.

Then,

…(i)

But we know that, charge is conserved

or …(ii)

On putting the value of Eq. (ii)

Now, from Eq. (i)

Hence,

physics-

#### In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at

The electric field of a hollow spherical capacitor is localised in between inner and outer surface of the spherical conductor.

Therefore, at point , the electric field will not be zero.

Therefore, at point , the electric field will not be zero.

#### In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at

physics-General

The electric field of a hollow spherical capacitor is localised in between inner and outer surface of the spherical conductor.

Therefore, at point , the electric field will not be zero.

Therefore, at point , the electric field will not be zero.

physics-

#### In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become

Final charge on capacitor is

where = charge on capacitor at

=time constant of the circuit.

Putting

Given,

Hence,

where = charge on capacitor at

=time constant of the circuit.

Putting

Given,

Hence,

#### In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become

physics-General

Final charge on capacitor is

where = charge on capacitor at

=time constant of the circuit.

Putting

Given,

Hence,

where = charge on capacitor at

=time constant of the circuit.

Putting

Given,

Hence,

maths-

#### The solution of the differential equation represent

#### The solution of the differential equation represent

maths-General

maths-

#### Solution of differential equation is

#### Solution of differential equation is

maths-General

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

physics-General

physics-

#### 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

physics-General

physics-

#### 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

physics-General

physics-

#### 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

physics-General

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

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

maths-

#### Integrating factor of the differential equation is

#### Integrating factor of the differential equation is

maths-General

physics-

#### 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-

#### 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

physics-General

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)