Gauss Theorem MCQ Type Questions for ISC Class-12 Ch-2 Physics

Gauss Theorem MCQ Type Questions for ISC Class-12 Ch-2 Physics . These MCQ / Objective Type Questions is based on latest reduced syllabus according 2021-22 session on bifurcated pattern. Main motto of MCQ Type Question is cracking the next upcoming exam of council. Visit official website CISCE for detail information about ISC Board Class-12 Physics.

Physics for ISC Class-12 of Ch-2 Gauss Theorem MCQ Type Questions

Board	ISC
Class	12th (XII)
Subject	Physics
Chapter-2	Gauss’ Theorem
Syllabus	on bifurcated syllabus (after reduction)
Session	2021-22
Topic	MCQ / Objective Type Question

Ch-2 Gauss Theorem MCQ / Objective Type Questions in Physics for ISC Class-12

Question 1: The surface considered for Gauss’s law is called

(a) Closed surface

(b) Spherical surface

(d) Plane surface

Answer : (c) Gaussian surface

Question 2: Gauss’s law will be invalid if

(a) there is magnetic monopoles.

(b) the inverse square law is not exactly true.

(d) none of these.

Answer : (b) the inverse square law is not exactly true.

Question 3: A charge Q is uniformly distributed over a large plastic plate. The electric field at a point P close to the centre of the plate is 10 V m⁻¹. If the plastic plate is replaced by a copper plate of the same geometrical dimensions and carrying the same charge Q, the electric field at the point P will become

(a) zero

(b) 5 V m⁻¹

(d) 20 V m⁻¹

Answer The option (C) 10 V m⁻¹is correct

Explanation:

The electric field remains same for the plastic plate and the copper plate, as both are considered to be infinite plane sheets. So, it does not matter whether the plate is conducting or non-conducting.
The electric field due to both the plates,

E = σ/ε0

Question-4 A metallic particle with no net charge is placed near a finite metal plate carrying a positive charge. The electric force on the particle will be

(a) towards the plate

(b) away from the plate

(d) zero

Answer The option(a) towards the plate is correct

Explanation:

The particle is a conductor. When it is brought near a positively charged metal plate, opposite charge is induced on its face nearer to the plate, i.e. negative and the same amount of charge, but of opposite polarity, goes to the farther end, i.e. positive.
Now, the attractive force is due to charges of opposite polarity. As they are at a lesser distance than the same polarity charges, the force of attraction is greater than the force of repulsion. In other words, the force on the particle is towards the plate.

Question-5 A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q₁ is placed outside it as shown in the following figure . All the three charges are positive. The force on the charge at the centre is .

(a) toward left

(b) towards right

(d) zero

Answer The option (d) zero is correct

Explanation:

A charge placed outside a conductor can induce a charge on it or can affect the charge on its surface. But it does not affect what is contained inside the conductor. Similarly, charge q₁ can affect charge Q; still, the force inside the conductor remains zero. An analogy to the above statement is that when lightning strikes a car, the charge that appears on the car’s metal surface does not affect its interior. Due to this passengers are recommended to sit inside the car.

Question-6 A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q₁ is placed outside it as shown in the following figure . All the three charges are positive. The force on the central charge due to the shell is

(a) towards left

(b) towards right

(d) zero

Answer- The option (b) towards right is correct

Explanation:

This question can be answered using the concept of electric field lines.
We know that electric field lines emerge from a positive charge and move towards a negative charge. Now, charge Q, on the face in front of charge q₁_,tries to nullify the field lines emerging from charge q₁_. So, the charge on the farther face of the conductor dominates and, hence, a force appears to the right of charge q.

Question-7 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 25 V m. The flux over a concentric sphere of radius 20 cm will be .

(a) 25 V m

(b) 50 V m

(d) 200 V m

Answer- The option (a) 25 V m is correct

Explanation:

The flux through a surface does not depend on its shape and size; it only depends upon the charge enclosed inside the volume. Here, the charge enclosed by the sphere of radius 10 cm and the sphere of radius 20 cm is same so the flux through them will also be same.

Question-8 Following Figure (a) shows an imaginary cube of edge L/2. A uniformly charged rod of length (L) moves towards the left at a small but constant speed ν. At t = 0, the left end just touches the centre of the face of the cube opposite it. Which of the graphs shown in the figure (b) represents the flux of the electric field through the cube as the rod goes through it?

Following Figure (a) shows an imaginary cube of edge L/2. A uniformly charged rod of length (L) moves towards the left at a small but constant speed ν. At t = 0, the left end just touches the centre of the face of the cube opposite it. Which of the graphs shown in the figure (b) represents the flux of the electric field through the cube as the rod goes through it?

(a) a

(b) b

(d) d

Answer- The option(d) d is correct

Explanation:

At first, when the rod is inserted into the cube, the flux start increasing. When the rod is fully inserted, the flux becomes constant and remains constant for the remaining L/2 length of the rod. After that, as the rod moves out of the cube, the flux starts decreasing. These processes are depicted only by curve (d).

Question-9 A charge q is placed at the centre of the open end of a cylindrical vessel (see the figure). The flux of the electric field through the surface of the vessel is .

(figure 30-Q3)

(a) zero

(b) q/ε_v

(d) 2q/ε_v

Answer The option (c) q/2ε_vis correct

Question-10 Gauss’s law is valid for

(a) any closed surface

(b) only regular close surfaces

(d) only irregular open surfaces

Answer (a) any closed surface

Question-11 The electric field due to an infinitely long straight uniformly charged wire at a distance r is directly proportional to

(a) r

(b) r²

(d) 1/r²

Answer (c) 1/r

Question-12 The Gaussian surface

(a) can pass through a continuous charge distribution.

(b) cannot pass through a continuous charge distribution.

(d) can pass through a continuous charge distribution as well as any system of discrete charges.

Answer (a) can pass through a continuous charge distribution.

Question-13 Charge motion within the Gaussian surface gives changing physical quantity

(a) electric field

(b) electric flux

(d) gaussian surface area

Answer (a) electric field

Question-14 Select the correct statements from the following.

I. The electric field due to a charge outside the Gaussian surface contributes zero net flux through the surface.

II. Total flux linked with a closed body, not enclosing any charge will be zero.

III. Total electric flux, if a dipole is enclosed by a surface is zero.

(a) I and II

(b) II and III

(d) I, II and III

Answer (d) I, II and III

Question-15 Gauss’s law is true only if force due to a charge varies as

(a) r^–1

(b) r^–2

(d) r^–4

Answer (b) r^–2

Question-16 A hollow sphere of charge does not have electric field at

(a) outer point

(b) interior point

(d) beyond 100 m

Answer (b) interior point

Question-17 What about Gauss’s theorem is not incorrect?

(a) It can be derived by using Coulomb’s Law

(b) It is valid for conservative field obeys inverse square root law

(d) Both (a) & (b)

Answer (d) Both (a) & (b)

Question-18 A uniformly charged conducting sphere of 4.4 m diameter has a surface charge density of 60 μC m^–2. The charge on the sphere is

(a) 7.3 × 10^–3 C

(b) 3.7 × 10^–6 C

(c) 7.3 × 10^–6 C

(d) 3.7 × 10^–3 C

Answer (d) 3.7 × 10^–3 C

Question-19 In Gauss law formula, Q stands for?

(a) the electric constant

(b) total charge within the given surface

(c) magnetic field

(d) None of the above

Answer (b) total charge within the given surface

Question-20 The Gauss law is only a restatement of the Coulombs law.

(a) TRUE

(b) FALSE

(c) Can be true or false

(d) Can not say

Answer (a) TRUE

Question-21 The ___________ of Gauss law relates the electric field to the charge distribution at a particular point in space.

(a) integral form

(b) differential form

(c) coulomb form

(d) All of the above

Answer (b) differential form

Question-22 The Gaussian surface for a line charge will be

(a) Sphere

(b) Cube

(c) Cylinder

(d) Rectangle

Answer (c) Cylinder

Question-23 Gauss law can be evaluated in which coordinate system?

(a) Cartesian

(b) Cylinder

(c) Spherical

(d) Depends on the Gaussian surface

Answer (d) Depends on the Gaussian surface

Question-24 In Gauss Theorem, Number of electric field lines entering the surface is __________ to the field lines leaving the surface.

(a) greater

(b) less

(c) equal

(d) None of the above

Answer (c) equal

Question-25 If there are no charges enclosed by a surface, then the net electric flux?

(a) 1

(b) -1

(c) 0

(d) infinite

Answer (c) 0

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Physics for ISC Class-12 of Ch-2 Gauss Theorem MCQ Type Questions

Ch-2 Gauss Theorem MCQ / Objective Type Questions in Physics for ISC Class-12

Answer The option (C) 10 V m−1 is correct

-: End of Ch-2 Gauss Theorem MCQ / Objective Type Questions for ISC Class-12 Solutions :-

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Answer The option (C) 10 V m⁻¹is correct