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JEE Mains Previous Years Questions with Solutions

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1

AIEEE 2005

MCQ (Single Correct Answer)
A magnetic needle is kept in a non-uniform magnetic field. It experiences
A
neither a force nor a torque
B
a torque but not a force
C
a force but not a torque
D
a force and a torque

Explanation

A magnetic needle kept in non uniform magnetic field experience a force and torque due to unequal forces acting on poles.
2

AIEEE 2005

MCQ (Single Correct Answer)
Two concentric coils each of radius equal to $$2$$ $$\pi $$ $$cm$$ are placed at right angles to each other. $$3$$ ampere and $$4$$ ampere are the currents flowing in each coil respectively . The magnetic induction in Weber / $${m^2}$$ at the center of the coils will be
$$\left( {\mu = 4\pi \times {{10}^{ - 7}}Wb/A.m} \right)$$
A
$${10^{ - 5}}$$
B
$$12 \times {10^{ - 5}}$$
C
$$7 \times {10^{ - 5}}$$
D
$$5 \times {10^{ - 5}}$$

Explanation



The magnetic field due to circular coil $$1$$ and $$2$$ are

$${B_1} = {{{\mu _0}{i_1}} \over {2r}} = {{{\mu _0}{i_1}} \over {2\left( {2\pi \times {{10}^{ - 2}}} \right)}}$$

$$ = {{{\mu _0} \times 3 \times {{10}^2}} \over {4\pi }}$$

$${B_2} = {{{\mu _0}{i_2}} \over {2\left( {2\pi \times {{10}^{ - 2}}} \right)}} = {{{\mu _0} \times 4 \times {{10}^2}} \over {4\pi }}$$

$$B = \sqrt {B_1^2 + B_2^2} = {{{\mu _0}} \over {4\pi }}.5 \times {10^2}$$

$$ \Rightarrow B = {10^{ - 7}} \times 5 \times {10^2}$$

$$ \Rightarrow B = 5 \times {10^{ - 5}}\,Wb/{m^2}$$
3

AIEEE 2005

MCQ (Single Correct Answer)
Two thin, long, parallel wires, separated by a distance $$'d'$$ carry a current of $$'i'$$ $$A$$ in the same direction. They will
A
repel each other with a force of $${\mu _0}{i^2}/\left( {2\pi d} \right)$$
B
attract each other with a force of $${\mu _0}{i^2}/\left( {2\pi d} \right)$$
C
repel each other with a force $$_0{i^2}/\left( {2\pi {d^2}} \right)$$
D
attract each other with a force of $${\mu _0}{i^2}/\left( {2\pi {d^2}} \right)$$

Explanation

$${F \over \ell } = {{{\mu _0}{i_1}} \over {2\pi d}} = {{{\mu _0}{i^2}} \over {2\pi d}}$$



(attractive as current is in the same direction)
4

AIEEE 2004

MCQ (Single Correct Answer)
The materials suitable for making electromagnets should have
A
high retentivity and low coercivity
B
low retentivity and low coercivity
C
high retentivity and high coercivity
D
low retentivity and high coercivity

Explanation

NOTE : Electro magnet should be amenable to magnetization & demagnetization.

$$\therefore$$ retentivity should be low & coercivity should be low

Questions Asked from Magnetics

On those following papers in MCQ (Single Correct Answer)
Number in Brackets after Paper Indicates No. of Questions
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JEE Main 2019 (Online) 12th April Evening Slot (2)
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JEE Main 2019 (Online) 10th April Evening Slot (2)
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JEE Main 2018 (Online) 16th April Morning Slot (2)
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JEE Main 2018 (Offline) (2)
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JEE Main 2017 (Offline) (2)
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JEE Main 2013 (Offline) (1)
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AIEEE 2012 (2)
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AIEEE 2011 (1)
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AIEEE 2009 (2)
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AIEEE 2008 (2)
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AIEEE 2007 (5)
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AIEEE 2006 (3)
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AIEEE 2005 (5)
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AIEEE 2004 (7)
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AIEEE 2002 (4)
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