Magnetism PYQs - Last 10 Years

In a vacuum chamber, a particle of charge $1\ \mu C$ and mass $1\ \mathrm{mg}$ is projected with a velocity $(\hat{i} + 2\hat{j})\ \mathrm{ms}^{-1}$ from the $XZ$ plane at time $t = 0$ in an electric field of $1\hat{i}\ \mathrm{Vm}^{-1}$. A...

A hollow, right circular cone of base radius $R$ and height $h$, with its tip at the origin is rotating about the $Z$-axis with an angular velocity $\omega$, as shown in the figure. The cone carries a total charge $Q$ uniformly distributed ...

A conducting solid sphere of radius $R$ and mass $M$ carries a charge $Q$. The sphere is rotating about an axis passing through its center with a uniform angular speed $\omega$. The ratio of the magnitudes of the magnetic dipole moment to t...

A positive, singly ionized atom of mass number $A_{\mathrm{M}}$ is accelerated from rest by the voltage $192 \mathrm{~V}$. Thereafter, it enters a rectangular region of width $w$ with magnetic field $\vec{B}_0=0.1 \hat{k}$ Tesla, as shown i...

A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangentially from the same point of the loop. The wire loop has mass $m$ and radius $r$ and it is in a uniform vertical magnetic field $B_0$, as show...

An infinitely long wire, located on the $z$-axis, carries a current $I$ along the $+z$-direction and produces the magnetic field $\vec{B}$. The magnitude of the line integral $\int \vec{B} \cdot \overrightarrow{d l}$ along a straight line f...

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 away from a thin and long conducting wire along the direction $\frac{\sqrt{3}}{2} \hat{x}+\...

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 on the $x y$ plane?

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 a long solenoid. The solenoid has $m$ turns per unit length and carries current $I$ counte...

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

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 to

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 figure. The smaller loop carries current I1 in the anti-clockwise direction and the large...

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 and then allowed to pass into a region of uniform magnetic field which is normal to the vel...

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 negligible resistance. Both the rails are parallel to the wire. The wire, the rod and the rails lie...

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 hanging by those wires with its plane being vertical.
The wires are connected to a capaci...

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 magnet is held vertically at a point above the disc away
from its axis. On revolving the magn...

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 inside the galvanometer is \(0.02\) \(T.\) The torsional constant of the suspension wire is $${...

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 \({I_1}\) and the wire located at \(x=-R\) carries a constant current \({I_2}.\) A circul...

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 field \({B_2}\widehat k.\) A positively charged particle is projected from the origin along the...

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 plane of the paper. A particle with charge \(+Q\) and momentum \(p\) directed along \(x\)-...

A symmetric star shaped conducting wire loop is carrying a steady state current \({\rm I}\) as shown in the figure. The distance between the diametrically opposite vertices of the star is \(4a.\) The magnitude of the magnetic field at the c...

In which case will the particle describe a helical path with axis along the positive \(z\) direction?

In which case would the particle move in a straight line along the negative direction of \(y\)-axis (i.e., move along \(- \widehat y\))?

In which case will the particle move in a straight line with constant velocity?