EXERCISE 8

Show by detail calculation that a current loop can be regarded as a magnetic dipole. Find the moment of the dipole.

Two particles $X$ and $Y$ having equal charges, after being accelerated through the same potential difference enter a region of uniform magnetic field and describes circular paths of radii $r_1$ and $r_2$ respectively. The ratio of the mass of $X$ and $Y$ is 

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $E.$ and $B$ represent the electric and magnetic fields respectively, this region of space may have 

A particle of charge $-16\times {10}^{-18}C$ moving with velocity $10 m{s}^{-1}$ along the $X$-axis enters a region where a magnetic field of induction $B$ is along the $y-$axis, and an electric field of magnitude ${10}^{4}V/m$ is along the negative $Z-$axis. If the charged particle continues moving along the $X-$axis, the magnitude of $B$ is-

A uniform electric field and a uniform magnetic field are produced, pointed in the same direction. An electron is projected with its velocity pointed in the same direction-

A proton of mass $1.67\times {10}^{-27} \mathrm{kg}$ and charge $1.6\times {10}^{-19} \mathrm{C}$ is projected with a speed of $2\times {10}^6 \mathrm{m} {\mathrm{s}}^{-1}$ at an angle of $60°$ to the $X$-axis. If a uniform magnetic field of $0.104$ Tesla is applied along $Y-axis,$ the path of proton is-

A particle of charge $+ q$ and $m$ moving under the influence of a uniform electric field $E\hat{\mathfrak{i}},$ and a uniform magnetic field $B\hat{k}$ follows a trajectory form $P$ to $Q$ as shown in the figure. The velocities of $P$ and $Q$ are $\mathcal{v}\hat{\mathcal{i}}$ and-$2\mathcal{v}\hat{j}$ respectively. Which of the following statement (s) is/ are correct?

A charged particle is released from rest in a region of steady and uniform electric and magnetic fields which are parallel to each other. The particle will move in a