JEE Advanced · 2017 · 21 May 2017 · Paper 2 · Magnetic Effects of Current

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 on its curved surface. The magnitude of magn …

In a vacuum chamber, a particle of charge $1\mu \mathrm{C}$ and mass 1 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 $1\hat{ı}{\mathrm{Vm}}^{-1}$. At $t=0.2\mathrm{s}$, the elec …

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 the angular momentum about the sa …

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

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 shown in the figure. Initially, it hangs v …

A positive, singly ionized atom of mass number $A_{\mathrm{M}}$ is accelerated from rest by the voltage 192 V. Thereafter, it enters a rectangular region of width $w$ with magnetic field ${\vec{B}}_0=0.1\hat{k}$ Tesla, as shown in the figure. The ion finally hits a detector at t …