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JEE Mains Previous Years Questions with Solutions

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1

AIEEE 2003

MCQ (Single Correct Answer)
When the current changes from $$ + 2A$$ to $$-2A$$ in $$0.05$$ second, an $$e.m.f.$$ of $$8$$ $$V$$ is inducted in a coil. The coefficient of self- induction of the coil is
A
$$0.2H$$
B
$$0.4H$$
C
$$0.8$$ $$H$$
D
$$0.1$$ $$H$$

Explanation

$$e = - {{\Delta \phi } \over {\Delta t}} = {{ - \Delta \left( {LI} \right)} \over {\Delta t}} = - L{{\Delta I} \over {\Delta t}}$$

$$\therefore$$ $$\left| e \right| = L{{\Delta I} \over {\Delta t}} \Rightarrow 8 = L \times {4 \over {0.05}}$$

$$ \Rightarrow L = {{8 \times 0.05} \over 4} = 0.1H$$
2

AIEEE 2003

MCQ (Single Correct Answer)
In an oscillating $$LC$$ circuit the maximum charge on the capacitor is $$Q$$. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is
A
$${Q \over 2}$$
B
$${Q \over {\sqrt 3 }}$$
C
$${Q \over {\sqrt 2 }}$$
D
$$Q$$

Explanation

When the capacitor is completely charged, the total energy in the $$L.C$$ circuit is with the capacitor and that energy is $$E = {1 \over 2}{{{Q^2}} \over C}$$

When half energy is with the capacitor in the form of electric field between the plates of the capacitor we get $${E \over 2} = {1 \over 2}{{Q{'^2}} \over C}$$ where $$Q'$$ is the charge on plate of the capacitor

$$\therefore$$ $${1 \over 2} \times {1 \over 2}{{{Q^2}} \over C} = {1 \over 2}{{Q{'^2}} \over C}$$

$$ \Rightarrow Q' = {Q \over {\sqrt 2 }}$$
3

AIEEE 2003

MCQ (Single Correct Answer)
Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon
A
the rates at which currents are changing in the two coils
B
relative position and orientation of the two coils
C
the currents in the two coils
D
the materials of the wires of the coils

Explanation

Mutual conductance depends on the relative position and orientation of the two coils.
4

AIEEE 2002

MCQ (Single Correct Answer)
Which of the following are not electromagnetic waves?
A
cosmic rays
B
gamma rays
C
$$\beta $$-rays
D
$$X$$-rays

Explanation

$$\beta $$ -rays are fast moving beam of electrons.

Questions Asked from Alternating Current and Electromagnetic Induction

On those following papers in MCQ (Single Correct Answer)
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