NCERT Solutions for class 12 Physics | Chapter 1 - Electric Charges and Fields

(1) 1 V equals to:
[A] 1 J
[B] 1 JC-1
[C] 1 CJ-1
[D] 1 JC
Answer: 1 JC-1
(2) When a dipole of moment
[A]
[B]
[C]
[D]
Answer:

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(3) A semicircular arc of radius r is charged uniformly and the charge per unit length is λ. The electric field at the centre is:
[A]
[B]
[C]
[D]
Answer:
(4) Four charges are arranged at the comers of a square ABCD, as shown. The force on the charge kept at the centre O is

[A] zero
[B] along the diagonal AC
[C] along the diagonal BD
[D] perpendicular to side AB
Answer: along the diagonal BD
(5) Which of the following statements is not true about Gauss’s law?
[A] Gauss’s law is true for any closed surface.
[B] The term q on the right side side of Gauss’s law includes the sum of all charges enclosed by the surface.
[C] Gauss’s law is not much useful in calculating electrostatic field when the system has some symmetry.
[D] Gauss’s law is based on the inverse square dependence on distance contained in the coulomb’s law
Answer: Gauss’s law is not much useful in calculating electrostatic field when the system has some symmetry.
(6) Gauss’s law will be invalid if
[A] there is magnetic monopoles.
[B] the inverse square law is not exactly true.
[C] the velocity of light is not a universal constant.
[D] none of these.
Answer: the inverse square law is not exactly true.
(7) A point charge +q is placed at a distance d from an isolated conducting plane. The field at a point P on the other side of the plane is
[A] directed perpendicular to the plane and away from the plane.
[B] directed perpendicular to the plane but towards the plane.
[C] directed radially away from the point charge.
[D] directed radially towards the point charge.
Answer: directed perpendicular to the plane and away from the plane.
(8) Which of the following statement is correct? The electric field at a point is [NCERT Exemplar]
[A] always continuous.
[B] continuous if there is a charge at that point.
[C] discontinuous only if there is a negative charge at that point.
[D] discontinuous if there is a charge at that point.
Answer: discontinuous if there is a charge at that point.
(9) In Fig. (i) two positive charges q2 and q3 fixed along the y-axis, exert a net electric force in the +x direction on a charge q1 fixed along the x-axis. If a positive charge Q is added at (x, 0) in figure (ii), the force on q1 is

[A] shall increase along the positive x-axis.
[B] shall decrease along the positive x-axis.
[C] shall point along the negative x-axis.
[D] shall increase but the direction changes because of the intersection of Q with q2 and qy
Answer: shall increase along the positive x-axis.
(10) The magnitude of electric field intensity E is such that, an electron placed in it would experience an electrical force equal to its weight is given by
[A] mge
[B] mg/e
[C] e/mg
[D] e²g/m²
Answer: mg/e
(11) A point charge q is placed at a distance a/2 directly above the centre of a square of side a. The electric flux through the square is
[A]
[B]
[C]
[D]
Answer:
(12) The electric field intensity due to an infinite cylinder of radius R and having charge q per unit length at a distance rir r(r > R) from its axis is
[A] directly proportional to r².
[B] directly proportional to r3.
[C] inversely proportional to r.
[D] inversely proportional to r².
Answer: inversely proportional to r.
(13) Total electric flux coming out of a unit positive charge kept in air is
[A] ε0
[B]
[C] (4πε0)-1
[D] 4πε0
Answer:
(14) An electric charge q is placed at the centre of a cube of side a. The electric flux on one of its faces will be
[A]
[B]
[C]
[D]
Answer:
(15) Electric field at a point varies as r° for
[A] an electric dipole
[B] a point charge
[C] a plane infinite sheet of charge
[D] a line charge of infinite length
Answer: a plane infinite sheet of charge
(16) A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by
[A]
[B]
[C]
[D] Zero
Answer: Zero
(17) The electric field inside a spherical shell of uniform surface charge density is
[A] zero.
[B] constant, less than zero.
[C] directly proportional to the distance from the centre.
[D] none of the these
Answer: zero.
(18) Two charges of equal magnitudes kept at a distance r exert a force F on each other. If the charges are halved and distance between them is doubled, then the new force acting on each charge is
[A] F/8
[B] F/4
[C] 4F
[D] F/16
Answer: F/16
(19) A charge Q is divided into two parts of q and Q – q. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of Q/q should be
[A] 2:1
[B] 1/2
[C] 4:1
[D] 1/4
Answer: 2:1
(20) Two similar spheres having +Q and -Q charges are kept at a certain distance. F force acts between the two. If at the middle of two spheres, another similar sphere having +Q charge is kept, then it experiences a force in magnitude and direction as
[A] zero having no direction.
[B] 8F towards +Q charge.
[C] 8F towards -Q charge.
[D] 4F towards +Q charge.
Answer: 8F towards -Q charge.

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