A particle of mass $m$ carrying charge $q$ is accelerated by a potential difference $V$. It enters perpendicularly in a region of uniform magnetic field $B$ and executes circular arc of radius $R$, then $\frac{q}{m}$ equals
Medium
Download our app for free and get startedPlay store
(a)

$r=\frac{\sqrt{2 m k}}{q B}=\frac{\sqrt{2 m q V}}{q B}$

$\Rightarrow r=\frac{\sqrt{2 V}}{B} \sqrt{\frac{m}{q}} \Rightarrow \frac{q}{m}=\frac{2 V}{R^2 B^2}$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The deflection in a moving coil galvanometer is
    View Solution
  • 2
    A galvanometer with its coil resistance $25\,\Omega $ requires a current of  $1\,mA$  for its full deflection. In order to construct an ammeter to read up to a current of $2\,A,$  the approximate value of the shunt resistance should be
    View Solution
  • 3
    To Verify Ohm's law, a student is provided with a test resistor $\mathrm{R}_{\mathrm{T}}$, a high resistance $\mathrm{R}_1$, a small resistance $\mathrm{R}_2$, two identical galvanometers $\mathrm{G}_1$ and $\mathrm{G}_2$, and a variable voltage source $\mathrm{V}$. The correct circuit to carry out the experiment is
    View Solution
  • 4
    A proton of energy $8\, eV$ is moving in a circular path in a uniform magnetic field. The energy of an alpha particle moving in the same magnetic field and along the same path will be.....$eV$
    View Solution
  • 5
    An electron and a proton enter region of uniform magnetic field in a direction at right angles to the field with the same kinetic energy. They describe circular paths of radius ${r_e}$ and ${r_p}$ respectively. Then
    View Solution
  • 6
    A charged particle of mass $m$ and charge $q$ describes circular motion of radius $r$ in a uniform magnetic field of strength $B$. The frequency of revolution is
    View Solution
  • 7
    An element $d l=d x \hat{l}$ (where, $d x=1\, cm$ ) is placed at the origin and carries a large current $i=10 A$. What is the magnetic field on the $Y$ -axis at a distance of $0.5\, m$ ?
    View Solution
  • 8
    A moving coil galvanometer has $150$ equal divisions. Its current sensitivity is $10$ divisions per milliampere and voltage sensitivity is $2$ divisions per millivolt. In order that each division reads $1\, volt$, the resistance in $ohms$ needed to be connected in series with the coil will be
    View Solution
  • 9
    Two parallel wires are carrying electric currents of equal magnitude and in the same direction. They exert
    View Solution
  • 10
    A uniform magnetic field $B$ is acting from south to north and is of magnitude $1.5$ $Wb/{m^2}$. If a proton having mass $ = 1.7 \times {10^{ - 27}}\,kg$ and charge $ = 1.6 \times {10^{ - 19}}\,C$ moves in this field vertically downwards with energy $5\, MeV$, then the force acting on it will be
    View Solution