An electron of energy 1800 eV describes a circular path in magnetic field of flux density 0.4 T. The radius of path is (q = 1.6 X ${10}^{-19}$ C, $m_e$ = 9.1 X ${10}^{-31}$ kg)

Q. An electron having mass (9.1 x ${10}^{-31}$ kg) and charge (1.6 x ${10}^{-19}$C) moves in a circular path of radius 0.5 m with a velocity ${10}^6$ m/s in a magnetic fied. Strength of magnetic filed is

Q. The radiation emitted when an electron jumps from $n=4$ to $n=3$ in a $L{i}^{++}ion$ (atomic no. $Z=3$ ) falls on a metal surface to produce photoelectron. When the photoelectron with maximum kinetic energy is made to move perpendicular to a uniform magnetic field of $2\times {10}^{-4}T,$ it follows a circular path of radius $\sqrt{\frac{9.1}{1.6}}cm.$ The work function of metal (in eV ) is (given mass of electron $m=9.1\times {10}^{-31}kg\text{and charge on electron}=-1.6\times {10}^{-19}C$

Q. In a chamber, a uniform magnetic field of \(6.5 ~G\left(1 G=10^{-4}~\text{~T}\right)\) is maintained. An electron is shot into the field with a speed of \(4.8 \times 10^{6}~ \text{m} / \text{s}\) normal to the field. Explain why the path of the electron is a circle. Determine the radius of the circular orbit. \(\left(e=1.5 \times 10^{-19}~ \text{C}, m_{e}=9.1 \times 10^{-31}~ \text{kg} )\right.\)

Q. In an experiment, electrons are accelerated, from rest, by applying a voltage of $500\text{V}$. Calculate the radius of the circular path if a magnetic field $100\text{mT}$ is then applied.
$[\text{Charge of the electron,}e=1.6\times {10}^{-19}\text{C}\text{Mass of the electron,}{m}_e=9.1\times {10}^{-31}\text{kg}]$

Q. An electron, moving along the x-axis with an initial energy of \(100~\text{eV}\), enters a region of magnetic field \(\overrightarrow{B}=(1.5\times 10^{-3}~\text T)~ \hat{k}\), at S (see figure). The field extends between \(x=0\) and \(x=2~\text{cm}\). The electron is detected at the point \(Q\) on a screen, placed \(8~\text{cm}\) away from the points S. The distance \(d\) between \(P\) and \(Q\) (on the screen) is :
(Electron's charge \(=1.6\times 10^{-19}~\text C\), mass of electron \(9.1\times 10^{-31}~\text{kg}\) ).