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Numerical

JEE Advanced 2023 Paper 2 Online
A rectangular conducting loop of length $4 \mathrm{~cm}$ and width $2 \mathrm{~cm}$ is in the $x y$-plane, as shown in the figure. It is being moved a...
JEE Advanced 2021 Paper 1 Online
An $$\alpha$$-particle (mass 4 amu) and a singly charged sulphur ion (mass 32 amu) are initially at rest. They are accelerated through a potential V a...
JEE Advanced 2018 Paper 2 Offline
A moving coil galvanometer has $$50$$ turns and each turn has an area $$2 \times {10^{ - 4}}\,{m^2}.$$ The magnetic field produced by the magnet insid...
JEE Advanced 2018 Paper 1 Offline
In the $$xy$$-plane, the region $$y > 0$$ has a uniform magnetic field $${B_1}\widehat k$$ and the region $$y < 0$$ has another uniform magnetic...
JEE Advanced 2014 Paper 1 Offline
Two parallel wires in the plane of the paper are distance X0 apart. A point charge is moving with speed u between the wires in the same plane at a dis...
IIT-JEE 2012 Paper 1 Offline
A cylinder cavity of diameter a exists inside a cylinder of diameter 2a as shown in the figure. Both the cylinder and the cavity are infinitely long. ...
IIT-JEE 2011 Paper 1 Offline
A long circular tube of length 10 m and radius 0.3 m carries a current I along its curved surface as shown. A wire-loop of resistance 0.005 $$\Omega$$...
IIT-JEE 2009 Paper 2 Offline
A steady current I goes through a wire loop PQR having shape of a right angle triangle wit6h PQ = 3, PR = 4x and QR = 5x. If the magnitude of the magn...

MCQ (Single Correct Answer)

JEE Advanced 2022 Paper 2 Online
Which one of the following options represents the magnetic field $\vec{B}$ at $\mathrm{O}$ due to the current flowing in the given wire segments lying...
JEE Advanced 2022 Paper 1 Online
A small circular loop of area $A$ and resistance $R$ is fixed on a horizontal $x y$-plane with the center of the loop always on the axis $\hat{n}$ of ...
JEE Advanced 2021 Paper 2 Online
When the dipole m is placed at a distance r from the center of the loop (as shown in the figure), the current induced in the loop will be proportional...
JEE Advanced 2021 Paper 2 Online
The work done in bringing the dipole from infinity to a distance r from the center of the loop by the given process is proportional to
JEE Advanced 2020 Paper 1 Offline
A circular coil of radius R and N turns has negligible resistance. As shown in the schematic figure, its two ends are connected to two wires and it is...
JEE Advanced 2020 Paper 1 Offline
A light disc made of aluminium (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong mag...
JEE Advanced 2017 Paper 2 Offline
A symmetric star shaped conducting wire loop is carrying a steady state current $${\rm I}$$ as shown in the figure. The distance between the diametric...
JEE Advanced 2017 Paper 1 Offline
In which case will the particle move in a straight line with constant velocity?
JEE Advanced 2017 Paper 1 Offline
In which case will the particle describe a helical path with axis along the positive $$z$$ direction?
JEE Advanced 2017 Paper 1 Offline
In which case would the particle move in a straight line along the negative direction of $$y$$-axis (i.e., move along $$ - \widehat y$$)?
JEE Advanced 2014 Paper 2 Offline
When d $$\approx$$ a but wires are not touching the loop, it is found that the net magnetic field on the axis of the loop is zero at a height h above ...
JEE Advanced 2014 Paper 2 Offline
Consider d >> a, and the loop is rotated about its diameter parallel to the wires by 30$$^\circ$$ from the position shown in the below figure. If the ...
JEE Advanced 2013 Paper 2 Offline
The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is
JEE Advanced 2013 Paper 2 Offline
The change in the magnetic dipole moment associated with the orbit, at the end of the time interval of the magnetic field change, is
IIT-JEE 2012 Paper 2 Offline
A loop carrying current $$l$$ lies in the xy-plane as shown in the figure. The unit vector $$\widehat k$$ is coming out of the plane of the paper. The...
IIT-JEE 2012 Paper 2 Offline
An infinite long hollow conducting cylinder with inner radius R/2 and outer radius R carries a uniform current density along its length. The magnitude...
IIT-JEE 2011 Paper 1 Offline
A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive ions surrounded b...
IIT-JEE 2011 Paper 2 Offline
A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b. The spiral lies in the xy-plan...
IIT-JEE 2010 Paper 1 Offline
A thin flexible wire of length L is connected to two adjacent fixed points and carries a current I in the clockwise direction, as shown in the figure....
IIT-JEE 2010 Paper 1 Offline
In the graph below, the resistance R of a superconductor is shown as a friction of its temperature T for two different magnetic fields B1 (solid line)...
IIT-JEE 2010 Paper 1 Offline
A superconductor has Tc(0) = 100 K. When a magnetic field of 7.5 T is applied, its Tc decreases to 75 K. For this material, one can definitely say tha...
IIT-JEE 2008 Paper 2 Offline
STATEMENT 1 : The sensitivity of a moving coil galvanometer is increased by placing a suitable magnetic material as a core inside the coil. and STATEM...
IIT-JEE 2007 Paper 2 Offline
A magnetic field $$\overrightarrow{\mathrm{B}}=\mathrm{B}_{0} \hat{j}$$ exists in the region $$a < x < 2 a$$ and $$\overrightarrow{\mathrm{B}}=-...
IIT-JEE 2007 Paper 2 Offline
Two wires each carrying a steady current I are shown in four configurations in Column I. Some of the resulting effects are described in Column II. Mat...

MCQ (More than One Correct Answer)

JEE Advanced 2021 Paper 2 Online
Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as their common center, as shown in the...
JEE Advanced 2021 Paper 1 Online
A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligibl...
JEE Advanced 2018 Paper 1 Offline
Two infinitely long straight wires lie in the $$xy$$-plane along the lines $$x = \pm R.$$ The wire located at $$x = + R$$ carries a constant current...
JEE Advanced 2017 Paper 2 Offline
A uniform magnetic field $$B$$ exist in the region between $$x=0$$ and $$x = {{3R} \over 2}$$ (region $$2$$ in the figure) pointing normally into the ...
JEE Advanced 2015 Paper 2 Offline
Consider two different metallic strips (1 and 2) of the same material. Their lengths are the same, widths are w1 and w2 and thickness are d1 and d2, r...
JEE Advanced 2015 Paper 2 Offline
Consider two different metallic strips (1 and 2) of same dimensions (length l, width w and thickness d) with carrier densities n1 and n2, respectively...
JEE Advanced 2015 Paper 1 Offline
A conductor (shown in the figure) carrying constant current I is kept in the x-y plane in a uniform magnetic field B. If F is the magnitude of the tot...
JEE Advanced 2013 Paper 2 Offline
A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coaxially inside an infinite solen...
JEE Advanced 2013 Paper 1 Offline
A particle of mass M and positive charge Q, moving with a constant velocity $${\overrightarrow u _1} = 4\widehat i$$ ms$$-$$1 enters a region of unifo...
IIT-JEE 2012 Paper 1 Offline
Consider the motion of a positive point charge in a region, there are simultaneous uniform electric and magnetic fields $$\overrightarrow E = {E_0}\w...
IIT-JEE 2011 Paper 1 Offline
An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of uniform magnetic field perpend...
IIT-JEE 2008 Paper 1 Offline
A particle of mass m and charge q, moving with velocity v enters Region II normal to the boundary as shown in the figure. Region II has a uniform magn...
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