Electrostatics MCQs for NEET — Physics Questions with Answers

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The potential energy of a system of three charges $q_1, q_2,$ and $q_3$ located at $r_1, r_2,$ and $r_3$ respectively, is given by:

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Explanation

Equation (2.26) in the NCERT text states, '$U = \frac{1}{4\pi\epsilon_0} \left( \frac{q_1q_2}{r_{12}} + \frac{q_1q_3}{r_{13}} + \frac{q_2q_3}{r_{23}} \right)$'. This formula accounts for the interaction energy between all pairs of charges in the system.

The work done in bringing a charge $q$ from infinity to a point P in an external field is $qV$. This work is stored as:

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Explanation

As per the NCERT text, 'Thus, work done in bringing a charge q from infinity to the point P in the external field is qV. This work is stored in the form of potential energy of q.' (Section 2.8.1)

One electron volt (1 eV) is equivalent to:

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Explanation

The NCERT text defines, '1 eV = 1.6 \times 10^{-19}$ J.' This is the energy gained by an electron accelerated through a potential difference of 1 volt.

For a system of two charges $q_1$ and $q_2$ in an external field, the total potential energy includes work done against:

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Explanation

When bringing $q_2$ to its position, 'Work is done not only against the external field E but also against the field due to $q_1$.' (Section 2.8.2)

The external field for which the potential energy of a charge is calculated is produced by:

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Explanation

The NCERT states, 'The external field E is not produced by the given charge(s) whose potential energy we wish to calculate. E is produced by sources external to the given charge(s).' (Section 2.8)

Consider a system of two charges $7 \text{ mC}$ and $-2 \text{ mC}$ placed at $(-9 \text{ cm}, 0, 0)$ and $(9 \text{ cm}, 0, 0)$ respectively. What will be the sign of the electrostatic potential energy of this system?

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Explanation

The two charges are $7 \text{ mC}$ (positive) and $-2 \text{ mC}$ (negative). Since they are unlike charges, their product $q_1q_2 < 0$. According to the NCERT material, 'For unlike charges ($q_1q_2 < 0$), the electrostatic force is attractive... so the potential energy is negative.'

Which of the following forces are considered conservative, allowing for the definition of potential energy?

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Explanation

The NCERT states, 'Forces of this kind are called conservative forces. Spring force and gravitational force are examples of conservative forces.' It also mentions that 'Coulomb force between two (stationary) charges is also a conservative force.'

What is the relationship between the work done by an external force against a conservative force and the potential energy of a system?

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Explanation

As stated in the 'INTRODUCTION' section, 'When an external force does work in taking a body from a point to another against a force like spring force or gravitational force, that work gets stored as potential energy of the body.'

The total work done in assembling a configuration of charges is equivalent to the system's:

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Explanation

The NCERT text defines, 'Potential energy of the system = the total work done in assembling the configuration.' (Equation 2.29 and point 6 in summary)

If a charge $q_1$ is at $r_1$ and another charge $q_2$ is brought from infinity to $r_2$ in an external field $V(r)$, the work done in bringing $q_2$ will include:

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Explanation

According to Eq. (2.28), 'Work done in bringing $q_2$ to $r_2$ is $q_2V(r_2) + \frac{1}{4\pi\epsilon_0}\frac{q_1q_2}{r_{12}}$'. This accounts for work against both the external field and the field of $q_1$.

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