JEE Questions for Physics Electrostatics I Quiz 16 - MCQExams.com

Two identical charged spheres suspended from a common point by two massless strings of length l are initially a distance d (d <

  • Physics-Electrostatics I-71728.png
  • 2)
    Physics-Electrostatics I-71729.png

  • Physics-Electrostatics I-71730.png

  • Physics-Electrostatics I-71731.png
Which of the field patterns given below is valid for electric field as well as for magnetic field?

  • Physics-Electrostatics I-71733.png
  • 2)
    Physics-Electrostatics I-71734.png

  • Physics-Electrostatics I-71735.png

  • Physics-Electrostatics I-71736.png
Which of the following statement (s) is/are correct?
  • If the electric field due to a point charge varies as r–2.5 instead of r–2, then the Gauss law will still be valid
  • The Gauss law can be used to calculate the field distribution around an electric dipole
  • If the electric field between two point charges is zero somewhere, then the sign of the two charges is the same
  • The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB – VA)
A resistor \'R\' and 2 µF capacitor in series is connected through a switch to 200 V direct supply. Across the capacitor is a neon bulb that lights up at 120 V. Calculate the value of R to make the bulb light up 5 s after the switch has been closed. (log10 2.5 = 0.4)
  • 1.3 × 104 Ω
  • 1.7 × 105 Ω
  • 2.7 × 106 Ω
  • 3.3 × 107 Ω
The figure shows an experimental plot discharging of a capacitor in an RC circuit. The time constant τ of this circuit lies between
Physics-Electrostatics I-71738.png
  • 150 sec and 200 sec
  • 0 sec and 50 sec
  • 50 sec and 100 sec
  • 100 sec and 150 sec
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 co-ordinates of the points P, Q, R and S are (a, b,(2a, 0,(a, -b,and (0, 0,respectively, The work done by the field in the above process is given by the expression
Physics-Electrostatics I-71740.png
  • qEa
  • –qEa

  • Physics-Electrostatics I-71741.png

  • Physics-Electrostatics I-71742.png
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
Physics-Electrostatics I-71744.png
  • E1 > E2 > E3 > E4 > E5
  • E1 = E3 = E5 and E2 < E4
  • E2 = E4 = E5 and E1 < E3
  • E1 < E2 < E3 < E4 < E5
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

  • Physics-Electrostatics I-71746.png
  • 2)
    Physics-Electrostatics I-71747.png

  • Physics-Electrostatics I-71748.png

  • Physics-Electrostatics I-71749.png
In a hollow spherical shell potential (V) changes with respect to distance (r) from centre

  • Physics-Electrostatics I-71751.png
  • 2)
    Physics-Electrostatics I-71752.png

  • Physics-Electrostatics I-71753.png

  • Physics-Electrostatics I-71754.png
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

  • Physics-Electrostatics I-71756.png
  • 2)
    Physics-Electrostatics I-71757.png

  • Physics-Electrostatics I-71758.png

  • Physics-Electrostatics I-71759.png
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

  • Physics-Electrostatics I-71761.png
  • 2)
    Physics-Electrostatics I-71762.png

  • Physics-Electrostatics I-71763.png

  • Physics-Electrostatics I-71764.png
During charging a capacitor variation of potential V of the capacitor with time t is shown as

  • Physics-Electrostatics I-71765.png
  • 2)
    Physics-Electrostatics I-71766.png

  • Physics-Electrostatics I-71767.png

  • Physics-Electrostatics I-71768.png
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
Physics-Electrostatics I-71770.png
  • Capacitance
  • Capacitive reactance
  • Magnetic field between the plates
  • Energy stored in the capacitor
Equipotential surfaces shown in figure. Then, the electric field strength will be
Physics-Electrostatics I-71772.png
  • 200 Vm–1 at an angle 120° with X-axis
  • 50 Vm–1 at an angle 120° with X-axis
  • 100 Vm–1 along X-axis
  • 100 Vm–1 along Y-axis
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
Physics-Electrostatics I-71774.png
  • R3
  • R2
  • R1
  • Cannot be predicted
A condenser of 2 µF 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?

  • Physics-Electrostatics I-71776.png
  • 2)
    Physics-Electrostatics I-71777.png

  • Physics-Electrostatics I-71778.png

  • Physics-Electrostatics I-71779.png
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

  • Physics-Electrostatics I-71781.png
  • 2)
    Physics-Electrostatics I-71782.png

  • Physics-Electrostatics I-71783.png

  • Physics-Electrostatics I-71784.png
In an RC circuit while charging, the graph ln 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 ln i versus time
Physics-Electrostatics I-71785.png
  • P
  • Q
  • R
  • S
Consider a thin spherical shell of radius R with its centre at the origin, carrying uniform positive surface charge density. The variation of the magnitude of the electric field |( E ) ⃗(r)| I and the electric potential V(r) with the distance r from the centre, is best represented by which graph

  • Physics-Electrostatics I-71787.png
  • 2)
    Physics-Electrostatics I-71788.png

  • Physics-Electrostatics I-71789.png

  • Physics-Electrostatics I-71790.png
The electrostatic potential (ɸr) of a spherical symmetric system, kept at origin, is shown in the adjacent figure, and given as
Which of the following option (s) is/are correct?
Physics-Electrostatics I-71797.png
  • For spherical region r ≤ R0 total electrostatic energy stored is zero.
  • With in r = 2R0 total charge is q.
  • There will be no charge anywhere except at r = R0
  • Electric field is discontinuous at r = R0.
  • All the above
An ellipsoidal cavity is curved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure. Then
Physics-Electrostatics I-71798.png
  • Electric field near A in the cavity = Electric field near B in the cavity
  • Charge density at A = charge density at B
  • Potential at A = Potential at B
  • Total electric field flux through the surface of the cavity is q/ɛ0
A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its centre
  • Increases as r increases for r < R
  • Decreases as r increases for 0 < r < ∞
  • Decreases as r increases for R < r < ∞
  • Is discontinuous at r = R
A positively charged thin metal ring of radius R is fixed in the xy–plane with its centre at the O. A negatively charged particle P is released from rest at the point (0, 0, z0), where z0 > 0. Then, the motion of P is
  • Periodic for all values of z0 satisfying 0 < z0 < ∞
  • Simple harmonic for all values of satisfying 0 < z0 < R
  • Approximately simple harmonic provided z0 << R
  • Such that P crosses O and continues to move along the negative z-axis towards z = –∞
A dielectric slab of thickness d is inserted in a parallel plate capacitor whose negative plate is at x = 0 and positive plate is at x = 3d. The slab is equidistant from the plates. The capacitor is given some charge. As one goes from 0 to 3d
  • The magnitude of the electric field remains the same
  • The direction of the electric field remains the same
  • The electric potential increases continuously
  • The electric potential increases at first, then decreases and again increases
A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of the capacitor are moved farther apart by means of insulating handles, then which of the following is correct
  • The charge on the capacitor increases
  • The voltage across the plate increases
  • The capacitance increases
  • The electrostatic energy stored in the capacitor increases
Capacitor C1 of capacitance 1 microfarad and capacitor C2 of capacitance 2 microfarad are separately charged fully by a common battery. The two capacitors are then separately allowed to discharge through equal resistors at time t = 0
  • The current in each of the two discharging circuits is zero at t = 0
  • The currents in the two discharging circuits are equal but not zero
  • The currents in the two discharging circuits at t = 0 are unequal
  • Capacitor C1, loses 50% of its initial charge sooner than C2 loses 50% of its initial charge
In the given diagram, a line of force of a particular force field is shown. Out of the following options, it can never represent
Physics-Electrostatics I-71804.png
  • An electrostatic field
  • A magneto static field
  • A gravitational field of a mass at rest
  • An induced electric field
Which one statement is correct? A parallel plate air condenser is connected with a battery. Its charge, potential, electric field and energy are Q0, V0, E0 and U0 respectively. In order to fill the complete space between the plates a dielectric slab is inserted, the battery is still connected. Now the corresponding values Q, V, E and U are in relation with the initially stated as
  • Q > Q0
  • V > V0
  • E > E0
  • U > U0
A metallic sheet is inserted between the plates of a parallel plate capacitor. The capacitance of the capacitor
  • Increases
  • Is independent of the position of the sheet
  • Is maximum when the metal sheet in the middle
  • Is maximum when the metal sheet touches one of the capacitor plates
A parallel plate capacitor is charged to a potential difference of 50 V. It is discharged through a resistance. After 1 second, the potential difference between plates becomes 40 V. Then
  • Fraction of stored energy after 1 second is 16/25
  • Potential difference between the plates after 2 seconds will be 32 V
  • Potential difference between the plates after 2 seconds will be 20 V
  • Fraction of stored energy after 1 second is 4/5
A few electric field lines for a system of two charge Q1 and Q2 fixed at two different points on the x-axis are shown in the figure. These lines suggest that
Physics-Electrostatics I-71807.png

  • Physics-Electrostatics I-71808.png
  • 2)
    Physics-Electrostatics I-71809.png
  • At a finite distance to the left of Q1 the electric field is zero
  • At a finite distance to the right of Q2 the electric field is zero
A spherical metal shell A of radius RA and a solid metal sphere B of radius RB (< RA) are kept far apart and each is given charge ‘+Q’. Now they are connected by a thin metal wire. Then

  • Physics-Electrostatics I-71811.png
  • 2)
    Physics-Electrostatics I-71812.png

  • Physics-Electrostatics I-71813.png

  • Physics-Electrostatics I-71814.png
  • All the above
A parallel plate capacitor of plate area A and plate separation d is charged to potential V and then the battery is disconnected. A slab of dielectric constant k is then inserted between the plates of the capacitors so as to fill the space between the plates. If Q, E and W denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then state incorrect relation from the following

  • Physics-Electrostatics I-71816.png
  • 2)
    Physics-Electrostatics I-71817.png

  • Physics-Electrostatics I-71818.png

  • Physics-Electrostatics I-71819.png

Physics-Electrostatics I-71821.png
  • The electric field at O is 6K along OD
  • The potential at O is zero
  • The potential at all points on the line PR is same
  • The potential at all points on the line ST is same
A cubical region of side a has its centre at the origin. It encloses three fixed point charges, –q at (0, – a/4, 0),+3 q at (0, 0,and –q at (0,+ a / 4, 0). Choose the correct option (s)
Physics-Electrostatics I-71823.png
  • The net electric flux crossing the plane x = + a/2 is equal to the net electric flux crossing the plane x = – a/2
  • The net electric flux crossing the plane y = + a/2 is more than the net electric flux crossing the plane Y = – a/2

  • Physics-Electrostatics I-71824.png
  • The net electric flux crossing the plane z = +a/2 is equal to the net electric flux crossing the plane x = + a/2

Physics-Electrostatics I-71826.png
  • Statement I is true, statement II is true; statement II is a correct explanation for statement I
  • Statement I is true, statement II is true; statement II is not a correct explanation for statement I
  • Statement I is true, statement II is false
  • Statement I is false, statement II is true
Statement I For a charged particle moving from point P to point Q, the net work done by an electrostatic field on the particle is independent of the path connecting point P to point Q.
Statement II The net work done by a conservative force on an object moving along a closed loop is zero.
  • Statement I is true, statement II is true; statement II is a correct explanation for statement I
  • Statement I is true, statement II is true; statement II is not a correct explanation for statement I
  • Statement I is true, statement II is false
  • Statement I is false, statement II is true
This questions has statement-I and statement-II. Of the four choices given after the statements, choose the one that best describe the two statements.
An insulating solid sphere of radius R has a uniformly positive charge density ρ. As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point outside the sphere. The electric potential at inifinite is zero.

Physics-Electrostatics I-71827.png
  • Satement I is true, statement II is true; statement II is a correct explanation for statement I
  • Statement I is true, statement II is true; statement II is not a correct explanation for statement I
  • Statement I is true, statement II is false
  • Statement I is false, statement II is true
The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density ρ(r) [charge per unit volume] is dependent only on the radial distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.
The electric field at r = R is
Physics-Electrostatics I-71829.png
  • Independent of a
  • Directly proportional to a
  • Directly proportional to a2
  • Inversely proportional to a
The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density ρ(r) [charge per unit volume] is dependent only on the radial distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.
For a = 0, the value d (maximum value of p a shown in the figure) is
Physics-Electrostatics I-71831.png

  • Physics-Electrostatics I-71832.png
  • 2)
    Physics-Electrostatics I-71833.png

  • Physics-Electrostatics I-71834.png

  • Physics-Electrostatics I-71835.png
The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density ρ(r) [charge per unit volume] is dependent only on the radial distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.
The electric field within the nucleus is generally observed to be linearly dependent on r. This implies
Physics-Electrostatics I-71837.png
  • a = 0
  • 2)
    Physics-Electrostatics I-71838.png
  • a = R

  • Physics-Electrostatics I-71839.png

Physics-Electrostatics I-71841.png
  • 3
  • 4
  • 5
  • 6

Physics-Electrostatics I-71843.png
  • 6
  • 5
  • 4
  • 3
Six point charges, each of the same magnitude q, are arranged in different manners as shown in Column II. In each case, a point M and a line PQ passing through M are shown. Let E be the electric field and V be the electric potential at M (potential at infinity is zero) due to the given charge distribution when it is at rest. Now, the whole system is set into rotation with a constant angular velocity about the line PQ. Let B be the magnetic field at M and µ be the magnetic moment of the system in this condition. Assume each rotation charge to be equivalent to a steady current.
Physics-Electrostatics I-71845.png

  • Physics-Electrostatics I-71846.png
  • 2)
    Physics-Electrostatics I-71847.png

  • Physics-Electrostatics I-71848.png

  • Physics-Electrostatics I-71849.png
Assertion The coulomb force is the dominating force in the universe.
Reason The coulomb force is weaker than the gravitational force.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.

Physics-Electrostatics I-71851.png
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion A metallic shield in form of a hollow shell may be built to block an electric field.
Reason In a hollow spherical shield, the electric field inside it is zero at every point.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Electrons move away from a low potential to high potential region.
Reason Because electrons have negative charge.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion If the distance between parallel plates of a capacitor is halved and dielectric constant is made three times, then the capacitance becomes 6 times.
Reason Capacity of the capacitor does not depend upon the nature of the material.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion A parallel plate capacitor is connected across battery through a key. A dielectric slab of constant K is introduced between the plates. The energy which is stored becomes K times.
Reason The surface density of charge on the plate remains constant or unchanged.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Physics Quiz Questions and Answers