JEE Questions for Physics Electrostatics I Quiz 3 - MCQExams.com

The electric field at the centroid of an equilateral triangle carrying an equal charge q at each of the vertices is
  • zero
  • 2)
    Physics-Electrostatics I-70234.png

  • Physics-Electrostatics I-70235.png

  • Physics-Electrostatics I-70236.png

Physics-Electrostatics I-70238.png
  • 2
  • 3
  • 2.5
  • 0.2
A particle of mass m carrying charge q is kept at rest in a uniform electric field E and then released. The kinetic energy gained by the particle, when it moves through a distance y is
  • 1/2 qEy2
  • qEy
  • qEy2
  • qE2 y
  • q2 Ey
Which one of the following graphs represents the variation of electric field with distance r from the centre of a charged spherical conductor of radius R?

  • Physics-Electrostatics I-70240.png
  • 2)
    Physics-Electrostatics I-70241.png

  • Physics-Electrostatics I-70242.png

  • Physics-Electrostatics I-70243.png

  • Physics-Electrostatics I-70244.png
A metallic spherical shell of radius R has a charge –Q on it. A point charge +Q is placed at the centre of the shell. Which of the graphs shown below may correctly represent the variation of the electric field E with distance r from the centre of the shell?

  • Physics-Electrostatics I-70246.png
  • 2)
    Physics-Electrostatics I-70247.png

  • Physics-Electrostatics I-70248.png

  • Physics-Electrostatics I-70249.png
A spherical shell of radius R has a charge +q units. The electric field due to the shell at a point
  • inside is zero and varies as r-1 outside it
  • inside the constant and varies as r-2 outside it
  • inside is zero and varies as r2 outside it
  • inside is constant and varies as r-1 outside it
Which of the following statement is correct?
  • Electric field is zero on the surface of current carrying wire
  • Electric field is non-zero on the axis of hollow current carrying wire
  • Surface integral of magnetic field for any closed surface is equal to g o times of total algebraic sum of current which are crossing through the closed surface
  • None of the above
Two large metal plates are placed parallel to each other. The inner surfaces of plates are charged by + σ and – σ (Cm-2 ). The outer surfaces are neutral. The electric field in the region between the plates and outside the plates is

  • Physics-Electrostatics I-70252.png
  • 2)
    Physics-Electrostatics I-70253.png

  • Physics-Electrostatics I-70254.png

  • Physics-Electrostatics I-70255.png
Consider a thin spherical shell of radius R consisting of uniform surface charge density σ. The electric field at a point of distance x from its centre and outside the shell is
  • inversely proportional to σ
  • directly proportional to x2
  • directly proportional to σ
  • inversely proportional to x2

Physics-Electrostatics I-70258.png
  • positive
  • negative
  • zero
  • depends on the path connecting the initial and final positions
Two charges q1 and q2 are placed in vacuum at a distance d and the force acting between them is F. If a medium of dielectric constant 4 is introduced between them, the force now will be
  • 4F
  • 2F

  • Physics-Electrostatics I-70737.png

  • Physics-Electrostatics I-70738.png
Charges are placed on the vertices of a square as shown. Let E be the electric field and V the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then
Physics-Electrostatics I-70260.png
  • E remains unchanged, V changes
  • both E and V change
  • E and V remain unchanged
  • E changes, V remains unchanged
The potential of the electric field produced by point charge at any point (x, y, z) is given by, V = 3x2 + 5, where, x, y are in metres and V is in volts. The intensity of the electric field at (–2, 1,is
  • +17 Vm -1
  • +17 Vm -1
  • +12 Vm -1
  • –12 Vm -1
Which of the following configurations of electric lines of force is not possible?

  • Physics-Electrostatics I-70262.png
  • 2)
    Physics-Electrostatics I-70263.png

  • Physics-Electrostatics I-70264.png
  • Both (and (3)
Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5cm and are uniformly charged. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is
  • 4 : 1
  • 1 : 2
  • 2 : 1
  • 1 : 4
Two unlike charges of the same magnitude Q are placed at a distance d. The intensity of the electric field at the middle point in the line joining the two charges.
  • zero
  • 2)
    Physics-Electrostatics I-70266.png

  • Physics-Electrostatics I-70267.png

  • Physics-Electrostatics I-70268.png
The spatial distribution of the electric field due to charges (A, B) is shown in figure. Which one of the following statements is correct?
Physics-Electrostatics I-70270.png

  • Physics-Electrostatics I-70271.png
  • 2)
    Physics-Electrostatics I-70272.png
  • Both are +ve but A > B
  • Both are -ve but A > B
Let V be the electric potential at a given point. Then, the electric field Ex along x–direction at that point is given by

  • Physics-Electrostatics I-70273.png
  • 2)
    Physics-Electrostatics I-70274.png

  • Physics-Electrostatics I-70275.png

  • Physics-Electrostatics I-70276.png
Two point charges + 8 q and – 2 q are located at x = 0 and x =L respectively. The location of a point on the x-axis at which the net electric field due to these two point charges is zero is
  • 2L
  • L/4
  • 8L
  • 4L
The radius of solid metallic non–conducting sphere is 60 cm and charge on the sphere is 500 µC . The electric field at a distance 10 cm from centre of sphere is
  • 2 × 106NC -1
  • 2 × 108 NC -1
  • 5 × 106 NC -1
  • 5 × 108 NC -1
The electric field at a point due to an electric dipole, on an axis inclined at an angle θ(< 90°) to the dipole axis, is perpendicular to the dipole axis, if the angle θ is

  • Physics-Electrostatics I-70279.png
  • 2)
    Physics-Electrostatics I-70280.png

  • Physics-Electrostatics I-70281.png

  • Physics-Electrostatics I-70282.png
A dipole of electric dipole moment p is placed in a uniform electric field of strength E. If θ is the angle between positive directions of p and E, then the potential energy of the electric dipole is largest, when θ is

  • Physics-Electrostatics I-70284.png
  • 2)
    Physics-Electrostatics I-70285.png

  • Physics-Electrostatics I-70286.png

  • Physics-Electrostatics I-70287.png

  • Physics-Electrostatics I-70288.png
The relation between the intensity of the electric field of an electric dipole at a distance r from its centre on its axis and the distance r is
where, (r > > 2l)

  • Physics-Electrostatics I-70289.png
  • 2)
    Physics-Electrostatics I-70290.png

  • Physics-Electrostatics I-70291.png

  • Physics-Electrostatics I-70292.png
Let Ea be the electric field due to a dipole in its axial plane distant l and let Eq be the field in the equatorial plane distant l' , then the relation between Ea and Eq will be
  • Ea = 4Eq
  • Eq = 2Ea
  • Ea = 2Eq
  • Eq = 3Ea
If the force exerted by an electric dipole on a charge q at a distance of 1 m is F, the force at a point 2 m away in the same direction will be

  • Physics-Electrostatics I-70295.png
  • 2)
    Physics-Electrostatics I-70296.png

  • Physics-Electrostatics I-70297.png

  • Physics-Electrostatics I-70298.png
An electric dipole of length 1 cm is placed with the axis making an angle of 30° to an electric field of strength 104 NC -1. If it experiences a torque of 10√2 Nm, the potential energy of the dipole is
  • 0.245 J
  • 2.45 × 10-4 J
  • 0.0245 J
  • 245.0 J
  • 24.5 × 10-4 J
An electric dipole consists of two opposite charges each 0.05 μC separated by 30 mm. The dipole is placed in an uniform external electric field of 106 NC -1. The maximum torque exerted by the field on the dipole is
  • 6 × 10-3 Nm
  • 3 × 10-3 Nm
  • 15 × 10-3 Nm
  • 1.5 × 10-3 Nm
An electric dipole has a pair of equal and opposite point charges q and –q separated by a distance 2x. The axis of the dipole is defined as
  • direction from positive charge to negative charge
  • direction from negative charge to positive charge
  • perpendicular to the line joining the two charges drawn at the centre and pointing upward direction
  • perpendicular to the line joining the two charges drawn at the centre and pointing downward direction
The electric field intensity E, due to an electric dipole of moment p, at a point on the equatorial line is
  • parallel to the axis of the dipole and opposite to the direction of the dipole moment p
  • perpendicular to the axis of the dipole and is directed away from it
  • parallel to the dipole moment
  • perpendicular to the axis of the dipole and is directed towards it
The electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to

  • Physics-Electrostatics I-70303.png
  • 2)
    Physics-Electrostatics I-70304.png

  • Physics-Electrostatics I-70305.png

  • Physics-Electrostatics I-70306.png
An electric dipole is placed at an angle of 30° to a non–uniform electric field. The dipole will experience
  • a translational force only in the direction of the field
  • a translational force only in a direction normal to the direction of the field
  • a torque as well as a translational force
  • a torque only
Electric field strength due to a dipole at a point on the axial line of dipole is
  • from positive charge to negative charge
  • from negative charge to positive charge
  • along the equatorial line
  • at an angle to axial line
The electric field due to an electric dipole at a distance r from its centre in axial position is E. If the dipole is rotated through an angle of 90° about its perpendicular axis, the electric field at the same point will be
  • E
  • E / 4
  • E / 2
  • 2E
An electric dipole of moment p is placed at the origin along the x-axis. The electric field at a point P, whose position vector makes an angle θ with the x-axis, will make an angle with the x–axis where,
Physics-Electrostatics I-70311.png
  • α
  • θ
  • θ + α
  • 2 θ + α

Physics-Electrostatics I-70313.png

  • Physics-Electrostatics I-70314.png
  • 2)
    Physics-Electrostatics I-70315.png

  • Physics-Electrostatics I-70316.png

  • Physics-Electrostatics I-70317.png
Two non-conducting spheres of radii R1 and R2 and carrying uniform volume charge densities + ρ and –ρ, respectively, are placed such that they partially overlap, as shown in figure. At all points in the overlapping region
Physics-Electrostatics I-70319.png
  • the electrostatic field is zero
  • the electrostatic potential is constant
  • the electrostatic field is constant in magnitude
  • the electrostatic field has not same direction
A charge 10 μC is placed at the centre of a hemisphere of radius R = 10 cm as shown. The electric flux through the hemisphere (in MKS units) is
Physics-Electrostatics I-70321.png
  • 20 × 105
  • 10 × 105
  • 6 × 105
  • 2 × 105
The electrostatic potential inside a charged spherical ball is given by ϕ = ar2 + b where r is the distance from the centre a,and b are constants. Then, the charge density inside the ball is
  • –6 a ε0 r
  • –24 π a ε0
  • –6 a ε0
  • –24 π a ε0 r

Physics-Electrostatics I-70324.png
  • -4
  • 2)
    Physics-Electrostatics I-70325.png

  • Physics-Electrostatics I-70326.png
  • 4
Electric charge is uniformly distributed along a long straight wire of radius 1 mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1 m symmetrically encloses the wire. The total electric flux passing through the cylindrical surface is

  • Physics-Electrostatics I-70328.png
  • 2)
    Physics-Electrostatics I-70329.png

  • Physics-Electrostatics I-70330.png

  • Physics-Electrostatics I-70331.png

  • Physics-Electrostatics I-70332.png
The Gaussian surface for calculating the electric field due to a charge distribution is
  • any surface near the charge distribution
  • always a spherical surface
  • a symmetrical closed surface containing the charge distribution, at every point of which electric field has a single fixed value
  • None of the given options
There exists an electric field of 1 N/C along y–direction. The flux passing through the square of 1 m placed in x–y plane inside the electric field is
  • 1.0 N/m2
  • 10.0 Nm2 /C
  • 2.0 Nm2 /C
  • zero
A point charge of 1.8 μC is at the centre of cubical Gaussian surface 55 cm on edge. What is the net electric flux through the surface?
  • 1.0 × 105 Nm2 C-1
  • 3.0 × 105 Nm2 C-1
  • 2.0 × 105 Nm2 C-1
  • 4.0 × 105 Nm2 C-1
Which of the following is the correct statement of Gauss law for electrostatics in a region of charge distribution in free space?

  • Physics-Electrostatics I-70335.png
  • 2)
    Physics-Electrostatics I-70336.png

  • Physics-Electrostatics I-70337.png

  • Physics-Electrostatics I-70338.png
What about Gauss theorem is not incorrect ?
  • It can be derived by using Coulomb's law
  • It is valid for conservative field, obeys inverse square root law
  • Gauss theorem is not applicable in gravitation
  • Both (a) and (b)
A Gaussian sphere encloses an electric dipole within it. The total flux across the sphere is
  • zero
  • half that due to a single charge
  • double that due to a single charge
  • dependent on the position of the dipole
The potential energies associated with four orientation of an electric dipole in a electric field are (i) – 5U0 , (ii) – 7U0 , (iii) 3U0 and (iv) 5U0 where U0 is positive.
Rank the orientations according to the angle between the electric dipole moment p and the electric field E, greatest first
  • (i), (ii), (iii) and (iv)
  • (ii), (iii), (i) and (iv)
  • (iv), (iii), (i) and (ii)
  • (iv), (i), (iii) and (ii)
Figure shows two points P and R, separated by a distanced, in a uniform electric field E. Find the potential difference by moving the positive test charge q0 , from P and R along the path PQR
Physics-Electrostatics I-70341.png
  • Ed
  • -Ed / √2
  • √2 Ed
  • -Ed
Two concentric hollow spherical shells have radii r and R (R >> r) A charge Q is distributed on them such that the surface charge densities are equal. The electric potential at the centre is

  • Physics-Electrostatics I-70343.png
  • 2)
    Physics-Electrostatics I-70344.png

  • Physics-Electrostatics I-70345.png
  • zero
Two charges + 6μC and – 4µC are placed 15 cm apart as shown. At what distances from A to its right, the electrostatic potential is zero (distances in cm)?
Physics-Electrostatics I-70347.png
  • 4, 9, 60
  • 9, 45, infinity
  • 20, 45, infinity
  • 9, 15, 45
0:0:1


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