JEE Questions for Physics Electrostatics I Quiz 10 - MCQExams.com

Two thin wire rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and –q. The potential difference between the centres of the two rings is
  • Zero
  • 2)
    Physics-Electrostatics I-71029.png

  • Physics-Electrostatics I-71030.png

  • Physics-Electrostatics I-71031.png

Physics-Electrostatics I-71033.png
  • Positive
  • Negative
  • Zero
  • Depends on the path connecting the initial and final positions
A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density a of the sheet is proportional to
Physics-Electrostatics I-71034.png
  • sin θ
  • tan θ
  • cos θ
  • cot θ
Two point charges +8q and –2q 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 charge is zero is
  • 8L
  • 4 L
  • 2 L
  • L/4
Two insulating plates are both uniformly charged in such a way that the potential difference between them is V2 – V1 =20V. (i. e., plate 2 is at a higher potential). The plates are separated by d = 0.1 m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2 (e = 1.6 × 10–19 C, me, = 9.11 × 10–31 kg)
Physics-Electrostatics I-71037.png
  • 7.02 × 1012 m/s
  • 1.87 × 106 m/s
  • 32 × 10–19 m/s
  • 2.65 × 106 m/s
Two spherical conductors A and B of radii 1 mm and 2 mm are separated by a distance 5 cm 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
  • 1 : 2
  • 2 : 1
  • 1 : 4
  • 4 : 1
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-71040.png
  • 2)
    Physics-Electrostatics I-71041.png

  • Physics-Electrostatics I-71042.png

  • Physics-Electrostatics I-71043.png
A hollow conducting spherical shell of radius R is charged with Q coulomb. The amount of work done for moving any charge q from the centre to the surface of the shell will be

  • Physics-Electrostatics I-71045.png
  • Zero

  • Physics-Electrostatics I-71046.png

  • Physics-Electrostatics I-71047.png
Figure shows a triangular array of three point charges. The electric potential V of these source charges at the midpoint P of the base of the triangle is
Physics-Electrostatics I-71049.png
  • 55 kV
  • 45 kV
  • 63 kV
  • 49 kV
Charge Q is placed on each of (n –corners of a polygon of n sides. The distance of centre of the polygon from each corner is ‘r’, then electric field at centre is

  • Physics-Electrostatics I-71051.png
  • 2)
    Physics-Electrostatics I-71052.png

  • Physics-Electrostatics I-71053.png
  • Zero

Physics-Electrostatics I-71055.png
  • Zero
  • 2)
    Physics-Electrostatics I-71056.png

  • Physics-Electrostatics I-71057.png

  • Physics-Electrostatics I-71058.png
Charges +2 q, + q and +q are placed at the corners A, B and C of an equilateral triangle ABC. If E is the electric field at the circumcentre O of the triangle, due to the charge +q, then the magnitude and direction of the resultant electric field at O is
  • E along AO
  • 2E along AO
  • E along BO
  • E along CO
N identical drops of mercury are charge simultaneously to 10 volt. When combined to form one large drop, the potential is found to be 40 volt, the value of N is
  • 4
  • 6
  • 8
  • 10
The electrostatic potential energy between proton and electron separated by a distance 1 Å is
  • 13.6 eV
  • 27.2 eV
  • –14.4 eV
  • 1.44 eV

Physics-Electrostatics I-71063.png
  • 9 volt
  • Zero
  • 2 volt
  • 3.5 volt
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-71064.png

  • Physics-Electrostatics I-71065.png
  • 2)
    Physics-Electrostatics I-71066.png

  • Physics-Electrostatics I-71067.png

  • Physics-Electrostatics I-71068.png
A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral
  • A potential difference appears between the two cylinders when a charge density is given to the inner cylinder
  • A potential difference appears between two cylinders when a charge density is given to the outer cylinder
  • No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders
  • No potential difference appears between the two cylinders when same charge density is given to both the cylinders
The figure below shows the electric field lines due to two positive charges. The magnitudes EA, EB and EC of the electric fields at points A, B and C respectively are related as
Physics-Electrostatics I-71071.png
  • EA > EB > EC
  • EB > EA > EC
  • EA = EB > EC
  • EA > EB = EC
There is a uniform electric field of intensity E which as shown. How many labelled points have the same electric potential as the fully shaded point?
Physics-Electrostatics I-71072.png
  • 2
  • 3
  • 8
  • 11
The electrostatic potential of a uniformly charged thin spherical shell of charge Q and radius R at a distance r from the centre is

  • Physics-Electrostatics I-71073.png
  • 2)
    Physics-Electrostatics I-71074.png

  • Physics-Electrostatics I-71075.png
  • Zero for both points inside and outside the shell
A negatively charged oil drop is prevented from falling under gravity by applying a vertical electric field 100 Vm–1. If the mass of the group is 1.6 × 10–3 g, the number of electrons carried by the drop is (g = 10 ms–2)
  • 1018
  • 1015
  • 106
  • 1012
Under the action of a given coulombic force the acceleration of an electron is 2.5 × 1022 m/s2. Then the magnitude of the acceleration of a proton under the action of same force is nearly
  • 1.6 × 10–19 m/s2
  • 9.1 × 1031 m/s2
  • 1.5 × 1019 m/s2
  • 1.6 × 1027 m/s2
An electron initially at rest falls a distance of 1.5 cm in a uniform electric field of magnitude 2 × 104 N/C. The time taken by the electron to fall this distance is
  • 1.3 × 102 s
  • 2.1 × 10–12 s
  • 1.6 × 10–10 s
  • 2.9 × 10–9 s

Physics-Electrostatics I-71079.png

  • Physics-Electrostatics I-71080.png
  • 2)
    Physics-Electrostatics I-71081.png

  • Physics-Electrostatics I-71082.png

  • Physics-Electrostatics I-71083.png
The value (in vacuum) of energy density at a place in a region of electric field intensity E, due to it, is given by

  • Physics-Electrostatics I-71085.png
  • 2)
    Physics-Electrostatics I-71086.png

  • Physics-Electrostatics I-71087.png

  • Physics-Electrostatics I-71088.png
Two conducting spheres of radii 3 cm and 1 cm are separated by a distance of 10 cm in free space. If the spheres are charged to same potential of 10 V each, the force of repulsion between them is

  • Physics-Electrostatics I-71089.png
  • 2)
    Physics-Electrostatics I-71090.png

  • Physics-Electrostatics I-71091.png

  • Physics-Electrostatics I-71092.png
The electric field created by a point charge falls with distance r from the point charge as

  • Physics-Electrostatics I-71094.png
  • 2)
    Physics-Electrostatics I-71095.png

  • Physics-Electrostatics I-71096.png

  • Physics-Electrostatics I-71097.png
Two large vertical and parallel metal plates having a separation of 1 cm are connected to a D.C. voltage source of potential difference X. A proton is released at rest midway between the two plates. It is found to move at 45° to the vertical just after release. Then, X is nearly
  • 1 × 10–9 V
  • 1 × 10–10 V
  • 1 × 10–5 V
  • 1 × 10–7 V
An electric dipole when placed in a uniform electric field E will have minimum potential energy, if the positive direction of dipole moments makes the following angle with E
  • π
  • π /2
  • Zero
  • 3 π /2
A given charge is situated at a certain distance from an electric dipole in the end-on position experiences a force F. It the distance of the charge is doubled, the force acting on the charge will be
  • 2F
  • F/2
  • F/4
  • F/8

Physics-Electrostatics I-71102.png
  • pE cos θ
  • pE sin θ
  • pE (1– cos θ)
  • –pE cos θ
Two equal and opposite charge (+q and – q) are situated at x distance from each other, the value of potential at very far point will depend upon
  • Only on q
  • Only on x
  • On qx
  • On q/x
The ratio of electric field and potential (E/V) at midpoint of electric dipole, for which separation is l

  • Physics-Electrostatics I-71104.png
  • 2)
    Physics-Electrostatics I-71105.png

  • Physics-Electrostatics I-71106.png
  • None of these

Physics-Electrostatics I-71108.png
  • α
  • θ
  • θ + α
  • θ + 2α
An electron dipole is placed along the x-axis at the origin O. A point P is at a distance of 20 cm from this origin such that OP makes an angle θ with the x-axis, the value of θ would be

  • Physics-Electrostatics I-71109.png
  • 2)
    Physics-Electrostatics I-71110.png

  • Physics-Electrostatics I-71111.png

  • Physics-Electrostatics I-71112.png
Electric charges q, q,–2q are placed at the corners of an equilateral triangle ABC of side l. The magnitude of electric dipole moment of the system is
  • ql
  • 2ql

  • Physics-Electrostatics I-71114.png
  • 4ql
The electric field at a point on equatorial line of a dipole and direction of the dipole moment
  • Will be parallel
  • Will be in opposite direction
  • Will be perpendicular
  • Are not related
Two opposite and equal charges 4 × 10–8 coulomb when placed 2 × 10–2 cm away, form a dipole. If this dipole is placed in an external electric field 4 × 108 newton/coulomb, the value of maximum torque and the work done in rotating it through 180° will be
  • 64 × 10–4 Nm and 64 × 10–4 J
  • 32 × 10–4 Nm and 32 × 10–4 J
  • 64 × 10–4 Nm and 32 × 10–4 J
  • 32 × 10–4 Nm and 64 × 10–4 J
An electric dipole is placed in an electric field generated by a point charge
  • The net electric force on the dipole must be zero
  • The net electric force on the dipole may be zero
  • The torque on the dipole due to the field must be zero
  • The torque on the dipole due to the field may be zero
If the magnitude of intensity of electric field at a distance x on axial line and at a distance y on equatorial line on a given dipole are equal, then x : y is
  • 1 : 1
  • 2)
    Physics-Electrostatics I-71118.png
  • 1 : 2

  • Physics-Electrostatics I-71119.png
An electric dipole in a uniform electric field experiences (When it is placed at an angle θ with the field)
  • Force and torque both
  • Force but no torque
  • Torque but no force
  • No force and no torque
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
  • 2)
    Physics-Electrostatics I-71121.png

  • Physics-Electrostatics I-71122.png
  • 2E
A molecule with a dipole moment p is placed in an electric field of strength E. Initially the dipole is aligned parallel to the field. If the dipole is to be rotated to be anti-parallel to the field, the work required to be done by an external agency is
  • –2pE
  • –pE
  • pE
  • 2pE

Physics-Electrostatics I-71124.png
  • Zero
  • 2)
    Physics-Electrostatics I-71125.png
  • π

  • Physics-Electrostatics I-71126.png
A region surrounding stationary electric dipoles has
  • Magnetic field only
  • Electric field only
  • Both electric and magnetic fields
  • No electric and magnetic fields
Two electric dipoles of moment P and 64 P are placed in opposite direction on a line at a distance of 25 cm. The electric field will be zero at point between the dipoles whose distance from the dipole moment P is
  • 5 cm
  • 2)
    Physics-Electrostatics I-71128.png
  • 10 cm

  • Physics-Electrostatics I-71129.png

Physics-Electrostatics I-71131.png
  • 90°

  • 180°
  • 45°

Physics-Electrostatics I-71132.png
  • 1
  • 4
  • 3
  • 2

Physics-Electrostatics I-71134.png
  • 0.245 J
  • 2.45 J
  • 0.0245 J
  • 24.5 J
A sample of HCl gas is placed in an electric field of 3 × 104 NC–1. The dipole moment of each HCl molecule is 6 × 10–30 C × m. The maximum torque that can act on a molecule is
  • 2 × 10–34 C2 N–1m
  • 2 × 10–34 Nm
  • 18 × 10–26 Nm
  • 0.5 × 10–34 C–2 N–1m–1
0:0:1


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