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JEE Mains Previous Years Questions with Solutions

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1

AIEEE 2002

MCQ (Single Correct Answer)
If a charge $$q$$ is placed at the center of the line joining two equal charges $$Q$$ such that the system is in equilibrium then the value of $$q$$ is
A
$$Q/2$$
B
$$ - Q/2$$
C
$$Q/4$$
D
$$ - Q/4$$

Explanation

For equilibrium of charge $$Q$$

$$K{{Q \times Q} \over {{{\left( {2x} \right)}^2}}} + K{{Qq} \over {{x^2}}} = 0 \Rightarrow q = - {Q \over 4}$$

2

AIEEE 2002

MCQ (Single Correct Answer)
A charged particle $$q$$ is placed at the centre $$O$$ of cube of length $$L(ABCDEFGH).$$ Another same charge $$q$$ is placed at a distance $$L$$ from $$O$$. Then the electric flux through $$ABCD$$ is
A
$$q/4\,\pi \,{ \in _0}L$$
B
zero
C
$$q/2\,\pi \,{ \in _0}L$$
D
$$q/3\,\pi \,{ \in _0}L$$

Explanation

Both the charges are identical and placed symmetrically about $$ABCD$$. The flux crossing $$ABCD$$ due to each charge is $${1 \over 6}\left[ {{q \over {{ \in _0}}}} \right]$$ but in opposite directions. Therefore the resultant is zero.
3

AIEEE 2002

MCQ (Single Correct Answer)
If there are $$n$$ capacitors in parallel connected to $$V$$ volt source, then the energy stored is equal to
A
$$CV$$
B
$${1 \over 2}nC{V^2}$$
C
$$C{V^2}$$
D
$${1 \over {2n}}C{V^2}$$

Explanation

The equivalent capacitance of $$n$$ identical capacitors of capacitance $$C$$ is equal to $$nC.$$ Energy stored in this capacitor

$$E = {1 \over 2}\left( {nC} \right){V^2} = {1 \over 2}nC{V^2}$$
4

AIEEE 2002

MCQ (Single Correct Answer)
On moving a charge of $$20$$ coulomb by $$2$$ $$cm,$$ $$2$$ $$J$$ of work is done, then the potential differences between the points is
A
$$0.1$$ $$V$$
B
$$8$$ $$V$$
C
$$2V$$
D
$$0.5$$ $$V.$$

Explanation

We know that $${{{W_{AB}}} \over q} = {V_B} - {V_A}$$

$$\therefore$$ $${V_B} - {V_A} = {{2J} \over {20C}} = 0.11J/C = 0.1V$$

Questions Asked from Electrostatics

On those following papers in MCQ (Single Correct Answer)
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