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Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - NEET MCQ


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10 Questions MCQ Test NCERTs at Fingertips: Textbooks, Tests & Solutions - Test: Electrostatic Potential & Potential due to a Point Charge (NCERT)

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Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 1

Which of the following statement is not true?

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 1

Work done by the electrostatic force is independent of the path followed by it, and it depends only on the initial and final positions. For example, work done in moving a unit positive charge in a closed loop of an electric field is zero.

Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 2

1 volt is equivalent to

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 2

Volt is the electrical unit of potential difference or voltage, and is expressed as V. One Volt is described as one joule of energy consumption per one coulomb electric charge.

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Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 3

The work done in bringing a unit positive charge from infinite distance to a point at distance x from a positive charge Q is W. Then the potential ϕ at that point is

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 3

Electric potential at a point in an electric field is defined as the work done in bringing a unit positive charge from infinity to that point.
Or,  V = W/q ​
Since charge is of magnitude unity, Hence electric potential at that point will be equal to the workdone ∴ ϕ = W

Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 4

The potential at a point due to a charge of 5×10−7C located 10cm10cm away is

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 4

Here, q = 5 × 10(−7) C, r = 10 cm = 0.1 m

Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 5

In the question number 4, work done in bringing a charge of 4 x 10-9 C from infinity to that point is

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 5

Work done, W = q(Vf − Vi) = 4 × 10−9 × 4.5 × 104 = 1.8 × 10−4 J

Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 6

The electric field intensity at a point P due to point charge q kept at point Q is 24 N C−1 and the electric potential at point P due to same charge is 12 J C−1. The order of magnitude of charge q is

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 6

Electric field of a point charge.

Electric potential of a point charge,

The distance PQ is r = V/E = 12/24 = 0.5 m
∴ Magnitude of charge
q' = 4πε0Vr

= 10−9 C

Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 7

The electric potential at a point in free space due to charge Q coulomb is Q x 1011 volts. The electric field at that point is

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 7

The electric potential due to charge Q is

where r is the distance of observation point from the charge. At the same point, electric field is

Combining Eqs. (i) and (ii), we have

= 4πε0Q × 1022 V/m-1

Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 8

Two points A and B are located in diametrically opposite directions of a point charge of +2μC at distances 2m and 1m respectively from it. The potential difference between A and B is

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 8

Here, q = 2 μC = 2 × 10−6 C,
rA = 2m, rB = 1m

= −9 × 103  V

Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 9

A charge +q is placed at the origin O of x-y axes as shown in the figure. The work done in taking a charge Q from A to B along the straight line AB is

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 9

Potential at point A is 
Potential at point B is
Work done in taking a charge Q from A to B is,

Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 10

As per this diagram a point charge +q is placed at the origin O. Work done in taking another point charge −Q from the point A [coordinates (0, a)] to another point B [coordinates (a, 0)] along the straight path AB is

Detailed Solution for Test: Electrostatic Potential & Potential due to a Point Charge (NCERT) - Question 10

Work done is equal to zero because the potential of A and B are the same

image
No work is done if a particle does not change its potential energy
i. e. initial potential energy = final potential energy.

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