JEE Questions for Physics Electrostatics I Quiz 1 - MCQExams.com

The electric intensity outside a charged sphere of radius R at a distance r(r > R) is

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  • 2)
    Physics-Electrostatics I-70048.png

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  • Physics-Electrostatics I-70050.png
The electric field created by a point charge falls with distance r from the point charge as

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  • 2)
    Physics-Electrostatics I-70053.png

  • Physics-Electrostatics I-70054.png

  • Physics-Electrostatics I-70055.png
A soap bubble is charged to a potential of 16 V. Its radius is then doubled. The potential of the bubble now will be
  • 16 V
  • 8 V
  • 4 V
  • 2 V
Electric potential at the centre of a charged hollow metal sphere is
  • zero
  • twice as that on the surface
  • half of that on the surface
  • same as that on the surface
Three charges 1µC, 2µC, 3µC are kept at vertices of an equilateral triangle of side 1 m. If they are brought nearer, so that they now form an equilateral triangle of side 0.5 m, then work done is
  • 11 J
  • 1.1 J
  • 0.01 J
  • 0.11 J
The voltage of clouds is 4 × 106 V with respect to ground. In a lightning strike lasting 100 ins, a charge of 4C is delivered to the ground. The power of lightning strike is
  • 160 MW
  • 80 MW
  • 20 MW
  • 500 kW
A hollow metal sphere of radius 5 cms is charged such that the potential on its surface is 10 volts. The potential at the centre of the sphere is
  • zero
  • 10 volts
  • same as at a point 5 cms away from the surface
  • same as at a point 25 cms away from the surface
Two point charges +q and –q are held fixed at (–d, o) and (d, o) respectively of a x-y coordinate system. Then
  • The electric field E at all points on the x-axis has the same direction
  • Electric field at all points on y-axis is along x-axis
  • Work has to be done in bringing a test charge from ¥ to the origin
  • The dipole moment is 2qd along the x-axis
Six charges of equal magnitude, 3 positive and 3 negative are to be placed on PQRSTU corners of a regular hexagon, such that field at the centre is double that of what it would have been if only one +ve charge is placed at R. Which of the following arrangement of charge is possible for P, Q, R, S, T and U respectively.
Physics-Electrostatics I-70020.png
  • + , +, +, –, –, –
  • –, + , +, +, –, –
  • –, + , +, –, +, –
  • + , –, +, –, +, –
A Gaussian surface in the figure is shown by dotted line. The electric field on the surface will be
Physics-Electrostatics I-70022.png
  • due to q1 and q2 only
  • due to q2 only
  • zero
  • due to all
What is the total charge in coulomb of 75.0 kg of electrons?
  • 0.32 × 1013 C
  • 3. 2 × 1016C
  • -1.32 × 1013C
  • +1.32 × 10-13 C
An object A has a charge of –2μC and the object B has a charge of +6 μC. Which statement is true?
  • FAB = –3FBA
  • FAB = –FBA
  • 3FAB = –FBA
  • FAB = 4FBA
Two equal negative charges –q are fixed at points (0, – a) and (0, a) on y – axis. A positive charge Q is released from rest at the point (2a,on the x - axis. The charge Q will
  • execute simple harmonic motion about the origin
  • move to the origin remain at rest
  • move to infinity
  • execute oscillatory but not simple harmonic motion
Two equal charges are separated by a distance d. A third charge placed on a perpendicular bisector at x distance from centre will experience maximum coulomb force, when

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  • 2)
    Physics-Electrostatics I-70027.png

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  • Physics-Electrostatics I-70029.png
Two identical charges repel each other with a force equal to 10 mg–wt, when they are 0.6 m apart in air (take, g =10 ms -2 ). The value of each charge is
  • 2mC
  • 2 x 10 -7 C
  • 2 nC
  • 2 μC
A charge Q is divided in two parts q and Q – q. What is value of q for maximum force between them?

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  • 2)
    Physics-Electrostatics I-70033.png

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A pendulum bob carries a negative charge – q. A positive charge +q is held at the point of support. Then, the time period of the bob is

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  • 2)
    Physics-Electrostatics I-70038.png

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Four metal conductors having different shapes
1. a sphere
2. cylinder
3. pear
4. lightning conductor
are mounted on insulating stands and charged. The which one is best suited to retain the charges for a longer time is
  • 1
  • 2
  • 3
  • 4
If a conducting medium is placed between two charges, then the electric force between them will become
  • zero
  • infinity
  • 1 N
  • 1 dyne
Charge q of mass m is placed in a uniform electric field E, then KE after time t

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  • 2)
    Physics-Electrostatics I-70042.png

  • Physics-Electrostatics I-70043.png

  • Physics-Electrostatics I-70044.png
A point charge q produces an electric field of magnitude 2 NC -1 at a point distance 0.25 m from it. What is the value of charge?
  • 1.39 × 10-11 C
  • 1.39 × 1011 C
  • 13.9 × 10-11 C
  • 13.9 × 1011 C
A parallel plate air capacitor is connected to a battery. The quantities charge, voltage, electric field and energy associated with this capacitor are given by Q0, V0, E0 and U0 respectively. A dielectric slab is now introduced to fill the space between the plates with battery still in connection. The corresponding quantities now given by Q, V, E and U are related to the previous one as
  • Q > Q0
  • V > V0
  • E > E0
  • U >U0
What is angle between electric field and equipotential surface ?
  • 90° always
  • 0° always
  • 0° to 90°
  • 0° to 180°
Two identical thin rings, each of radius R metres, are coaxially placed a distance R metres apart. If Q1 coulomb, and Q2 coulomb, are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of the other is
  • zero
  • 2)
    Physics-Electrostatics I-70059.png

  • Physics-Electrostatics I-70060.png

  • Physics-Electrostatics I-70061.png

Physics-Electrostatics I-70062.png
  • is same throughout
  • is higher near the outer cylinder than near the inner cylinder
  • varies as 1/r, where r is the distance from axis
  • varies as 1/r2 where r is the distance from the axis.
Two parallel large thin metal sheets have equal surface charge densities (σ = 26.4 × 10-12 Cm-2 ) of opposite signs. The electric field between these sheets is
  • 1.5 NC -1
  • 1.5 x 10-10 NC -1
  • 3 NC -1
  • 3x 10-10 NC -1
Potential and field strength at a certain distance from a point charge are 600 V and 200 NC -1 . Distance of the point from the charge is
  • 2 m
  • 4 m
  • 8 m
  • 3 m
A hollow–sphere of charge does not produce an electric field at any
  • interior point
  • outer point
  • beyond 2 m
  • beyond 10 m
Torque acting on an electric dipole in a uniform electric field is maximum, if the angle between p and E is
  • 180°
  • 0°
  • 90°
  • 45°
An electric dipole of the dipole moment p is placed in a uniform electric field E. The maximum torque experienced by the dipole is
  • pE
  • 2)
    Physics-Electrostatics I-70066.png

  • Physics-Electrostatics I-70067.png

  • Physics-Electrostatics I-70068.png
Dipole is placed parallel to the electric field. If Q is the work done in rotating the dipole by 60°, then work done in rotating 180° is
  • 2W
  • 3 W
  • 4 W
  • W/2
The ratio of electric field and potential (E / V ) at mid-point of electric dipole, for which separation l is
  • 1 / l
  • l
  • 2 / l
  • None of these

Physics-Electrostatics I-70072.png

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    Physics-Electrostatics I-70074.png

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What is the nature of Gaussian surface involved in Gauss law of electrostatic?
  • Scalar
  • Electrical
  • Magnetic
  • Vector

Physics-Electrostatics I-70078.png
  • 100 unit
  • 80 unit
  • 180 unit
  • 20 unit
The electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius 10 cm surrounding the total charge is 20 Vm. The flux over a concentric sphere of radius 20 cm will be
  • 20 Vm
  • 25 Vm
  • 40 Vm
  • 200 Vm
A metallic solid sphere is placed in a uniform electric fied. The lines of force follow the path(s) shown in Figure as
Physics-Electrostatics I-70080.png
  • 1
  • 2
  • 3
  • 4
Flux coming out from a unit positive charge enclosed in air is

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  • 2)
    Physics-Electrostatics I-70083.png

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An ellipsoidal cavity is carved 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-70087.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

  • Physics-Electrostatics I-70088.png

Physics-Electrostatics I-70090.png
  • positive
  • negative
  • zero
  • depends on the path connecting the initial and final positions
A point charge + q is placed at the mid-point of a cube of side a. The electric flux emerging from the cube is
  • zero
  • 2)
    Physics-Electrostatics I-70092.png

  • Physics-Electrostatics I-70093.png

  • Physics-Electrostatics I-70094.png

Physics-Electrostatics I-70096.png
  • 120 J
  • –120 J
  • –80 J
  • 80 J
Consider a system of three charges q/3, q/3 and –2q/3 placed at points A, B and C, respectively, as shown in the figure. Take O to be the centre of the circle of radius R and angle CAB = 60°
Physics-Electrostatics I-70098.png

  • Physics-Electrostatics I-70099.png
  • The potential energy of the system is zero

  • Physics-Electrostatics I-70100.png

  • Physics-Electrostatics I-70101.png
A spherical symmetric charge system is centered at origin.

Given, Electric potential


Physics-Electrostatics I-70103.png
  • Within r = 2R0 total enclosed net charge is Q
  • Electric field is discontinued at r = R0
  • Charge is only present at r = R0
  • Electrostatic energy is zero for r < R0
A hollow metal sphere of radius 10 cm is charged, such that the potential on its surface becomes 80 V. The potential at the centre of the sphere is
  • 80 V
  • 800 V
  • 8 V
  • zero
The electric potential at any point x, y, z in metres is given by V = 3x2. The electric field at a point (2, 0,is
  • 12 Vm -1
  • –6 Vm -1
  • 6 Vm -1
  • –12 Vm -1
Small drops of the same size are charged to V volt each. If n. such drops coalesce to form a single large drop, its potential will be
  • Vn
  • V / n
  • Vn 1/3
  • Vn 2/3
  • Vn 1/2
4 point charges each +q is placed on the circumference of a circle of diameter 2d in such a way that they form a square. The potential at the centre is
  • 0
  • 4q / d
  • 4d / q
  • q / 4d
The electric potential inside a conducting sphere
  • increases from centre to surface
  • decreases from centre to surface
  • remains constant from centre to surface
  • is zero at every point inside
In bringing an electron towards another electron, the electrostatic potential energy of the system
  • decreases
  • increases
  • remains same
  • becomes zero
0:0:1


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