Question Bank for JEE Main & Advanced Physics Electrostatics & Capacitance Graphical Questions

1)

Point charge \[q\] moves from point \[P\] to point \[S\] along the path \[PQRS\] (figure shown) in a uniform electric field \[E\] pointing coparallel to the positive direction of the \[X-\]axis. The coordinates of the points \[P,\,Q,\,R\] and \[S\] are \[(a,\,b,\,0),\ (2a,\,0,\,0),\ (a,\,-b,\,0)\] and \[(0,\,0,\,0)\] respectively. The work done by the field in the above process is given by the expression [IIT 1989]

A)

\[qEa\]

B)

\[-qEa\]

C)

\[qEa\sqrt{2}\]

D)

\[qE\sqrt{[{{(2a)}^{2}}+{{b}^{2}}]}\]

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2)

The variation of potential with distance \[R\] from a fixed point is as shown below. The electric field at \[R=5\,m\]is [NCERT 1975; MP PMT 2003]

A)

\[2.5\ volt/m\]

B)

\[-2.5\ volt/m\]

C)

\[2/5\ volt/m\]

D)

\[-2/5\ volt/m\]

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3)

The figure gives the electric potential V as a function of distance through five regions on \[x\]-axis. Which of the following is true for the electric field E in these regions [AMU 2000]

A)

\[{{E}_{1}}>{{E}_{2}}>{{E}_{3}}>{{E}_{4}}>{{E}_{5}}\]

B)

\[{{E}_{1}}={{E}_{3}}={{E}_{5}}\] and \[{{E}_{2}}<{{E}_{4}}\]

C)

\[{{E}_{2}}={{E}_{4}}={{E}_{5}}\] and \[{{E}_{1}}<{{E}_{3}}\]

D)

\[{{E}_{1}}<{{E}_{2}}<{{E}_{3}}<{{E}_{4}}<{{E}_{5}}\]

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4)

Which of the following graphs shows the variation of electric field E due to a hollow spherical conductor of radius R as a function of distance from the centre of the sphere [AMU 2001]

A)

B)

C)

D)

View Solution

5)

In a hollow spherical shell potential (V) changes with respect to distance (r) from centre [DCE 2001, 03]

A)

B)

C)

D)

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6)

The electric field due to a uniformly charged sphere of radius R as a function of the distance from its centre is represented graphically by [AIIMS 2004]

A)

B)

C)

D)

View Solution

7)

What physical quantities may \[X\] and \[Y\] represent? (\[Y\] represents the first mentioned quantity) [NCERT 1978; MP PMT 2003]

A)

Pressure v/s temperature of a given gas (constant volume)

B)

Kinetic energy v/s velocity of a particle

C)

Capacitance v/s charge to give a constant potential

D)

Potential v/s capacitance to give a constant charge

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8)

Between the plates of a parallel plate capacitor a dielectric plate is introduced just to fill the space between the plates. The capacitor is charged and later disconnected from the battery. The dielectric plate is slowly drawn out of the capacitor parallel to the plates. The plot of the potential difference across the plates and the length of the dielectric plate drawn out is [MP PET 1997]

A)

B)

C)

D)

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9)

Figure A shows two capacitors connected in series and joined to a battery. The graph in figure B shows the variation in potential as one moves from left to right on the branch containing the capacitors, if [MP PMT 1999]

A)

\[{{C}_{1}}>{{C}_{2}}\]

B)

\[{{C}_{1}}={{C}_{2}}\]

C)

\[{{C}_{1}}<{{C}_{2}}\]

D)

The information is not sufficient to decide the relation between \[{{C}_{1}}\]and \[{{C}_{2}}\]

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10)

During charging a capacitor variation of potential V of the capacitor with time t is shown as [MP PET 2003]

A)

B)

C)

D)

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11)

Change Q on a capacitor varies with voltage V as shown in the figure, where Q is taken along the X-axis and V along the Y-axis. The area of triangle OAB represents [Kerala (Engg.) 2001]

A)

Capacitance

B)

Capacitive reactance

C)

Magnetic field between the plates

D)

Energy stored in the capacitor

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12)

Equipotential surfaces are shown in figure. Then the electric field strength will be

A)

\[\text{1}00V{{m}^{\text{1}}}\] along X-axis

B)

\[\text{1}00V{{m}^{\text{1}}}\] along Y-axis

C)

\[200V{{m}^{\text{1}}}\] at an angle \[\text{12}{{0}^{\text{o}}}\] with X-axis

D)

\[50V{{m}^{\text{1}}}\]at an angle \[\text{12}{{0}^{\text{o}}}\] with X-axis

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13)

Three identical capacitors are given a charge Q each and they are then allowed to discharge through resistance R1, R2 and R3. Their charges, as a function of time shown in the graph below. The smallest of the three resistance is

A)

\[{{R}_{\text{3}}}\]

B)

\[{{R}_{\text{2}}}\]

C)

\[{{R}_{\text{1}}}\]

D)

Cannot be predicted

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14)

A condenser of \[\text{2}\mu F\] capacitance is charged steadily from 0 to 5 Coulomb. Which of the following graphs correctly represents the variation of potential difference across its plates with respect to the charge on the condenser

A)

B)

C)

D)

View Solution

15)

Two identical point charges are placed at a separation of d. P is a point on the line joining the charges, at a distance x from any one charge. The field at P is E, E is plotted against x for values of x from close to zero to slightly less than d. Which of the following represents the resulting curve

A)

B)

C)

D)

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16)

In an RC circuit while charging, the graph of in i versus time is as shown by the dotted line in the diagram figure, where i is the current. When the value of the resistance is doubled, which of the solid curve best represents the variation of in i versus time [IIT-JEE (Screening) 2004]

A)

P

B)

Q

C)

R

D)

S

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17)

Two concentric conducting thin spherical shells A, and B having radii \[{{r}_{A}}\]and \[{{r}_{B}}\](\[({{r}_{B}}>{{r}_{A}})\]are charged to \[{{Q}_{A}}\] and \[-{{Q}_{B}}\]\[(|{{Q}_{B}}|\,>\,|{{Q}_{A}}|)\]. The electrical field along a line, (passing through the centre) is [AIIMS 2005]

A)

B)

C)

D)

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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank

done Graphical Questions Total Questions - 17

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Graphical Questions

Graphical Questions Total Questions - 17