*Simulator***Previous Years AIEEE/JEE Mains Questions**

Q. Due to the presence of the current $\mathrm{I}_{1}$ at the origin:-
(1) The magnitude of the net force on the loop is given by $\frac{\mathrm{I}_{1} \mathrm{I}}{4 \pi} \mu_{0}\left[2(\mathrm{b}-\mathrm{a})+\frac{\pi}{3}(\mathrm{a}+\mathrm{b})\right]$
(2) The magnitude of the net force on the loop is given by $\frac{\mu_{0} \mathrm{I} \mathrm{I}_{1}}{24 \mathrm{ab}}(\mathrm{b}-\mathrm{a})$
(3) The forces on $\mathrm{AB}$ and $\mathrm{DC}$ are zero
(4) The forces on $\mathrm{AD}$ and $\mathrm{BC}$ are zero

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**Sol.**(4) For AD and BC, $\overrightarrow{\mathrm{B}} \square \overrightarrow{\mathrm{dL}}$. Hence force on AD and BC is zero.

Q. Two short bar magnets of length 1 cm each have magnetic moments $1.20 \mathrm{Am}^{2}$ and $1.00 \mathrm{Am}^{2}$ respectively. They are placed on a horizontal table parallel to each other with their N poles pointing towards the South. They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the resultant horizontal magnetic induction at the midpoint O of the line joining their centres is close to :-
(Horizontal component of earth’s magnetic induction is $\left.3.6 \times 10^{-5} \mathrm{Wb} / \mathrm{m}^{2}\right)$
(1) $3.6 \times 10^{-5} \mathrm{Wb} / \mathrm{m}^{2}$
(2) $2.56 \times 10^{-4} \mathrm{Wb} / \mathrm{m}^{2}$
(3) $3.50 \times 10^{-4} \mathrm{Wb} / \mathrm{m}^{2}$
(4) $5.80 \times 10^{-4} \mathrm{Wb} / \mathrm{m}^{2}$

**[JEE(Mains) – 2013]**
Q. The coercivity of a small magnet where the ferromagnet gets demagnetized is $3 \times 10^{3} \mathrm{A} \mathrm{m}^{-1}$. The current required to be passed in a solenoid of length 10 cm and number of turns 100, so that the magnet gets demagnetized when inside the solenoid, is :
(1) 3A (2) 6 A (3) 30 mA (4) 60 mA

**[JEE(Mains) – 2014]**
Q. Hysteresis loops for two magnetic materials A and B are given below :
These materials are used to make magnets for electric generators, transformer core and electromagnet core. Then it is proper to use ;
(1) B for electromagnets and transformers.
(2) A for electric generators and transformers.
(3) A for electromagnets and B for electric transformers.
(4) A for transformers and B for electric generators.

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**Sol.**(1) For electromagnet and transformers, we require the core that can be magnitised and demagnetised quickly when subjected to alternating current. From the given graphs, graph B is suitable.

Q. A magnetic needle of magnetic moment $6.7 \times 10^{-2} \mathrm{Am}^{2}$ and moment of inertia $7.5 \times 10^{-6} \mathrm{kg} \mathrm{m}^{2}$ is performing simple harmonic oscillations in a magnetic field of 0.01 T.
Time taken for 10 complete oscillations is :
(1) 6.98 s
(2) 8.76 s
(3) 6.65 s
(4) 8.89 s

**[JEE(Mains) – 2017]**
Excellent

Shims very important

Quite useful

These Are Very Easy Questions.. Please add some actual jee mains level ones…

Good

nice

Good

Post some difficult questions

Try to update. Thank you

These questions are easy try to add some difficult level

Thank you

helpful post some new questions