An electron having kinetic energy $T$ is moving in a circular orbit of radius $R$ perpendicular to a uniform magnetic induction $\vec B$ . If kinetic energy is doubled and magnetic induction tripled, the radius will become 
  • A$\frac{{3\,R}}{2}$
  • B$\sqrt {\frac{3}{2}} \,R$
  • C$\sqrt {\frac{2}{9}} \,R$
  • D$\sqrt {\frac{4}{3}} \,R$
Medium
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
    For full scale deflection of total $50$ divisions, $50\,{mV}$ voltage is required in galvanometer. The resistance of galvanometer if its current sensitivity is $2\, {div} / {mA}$ will be $.....\Omega$
    View Solution
  • 2
    A long straight wire is carrying current $I_1$ in $+z$ direction. The $x-y$ plane contains a closed circular loop carrying current $I_2$ and not encircling the straight wire. The force on the loop will be:
    View Solution
  • 3
    The magnitude of the magnetic field at the centre of an equilateral triangular loop of side $1\,m$ which is carrying a current of $10\,A$ is:......$\mu T$ [Take $\mu _0 = 4\pi  \times 10^{-7}\,NA^{-2}$]
    View Solution
  • 4
    A long wire A carries a current of $10\, amp$. Another long wire $B$, Which is parallel to $A$ and separated by $0.1\,m$ from $A$, carries a current of $5\, amp$, in the opposite direction to that in $A$. what is the magnitude and nature of the force experienced per unit length of $B$ $({\mu _0} = 4\pi \times {10^{ - 7}}\,weber/amp{\rm{ - }}m)$
    View Solution
  • 5
    The electrostatic force $\left(\vec{F}_1\right)$ and magnetic force $\left(\vec{F}_2\right)$ acting on a charge $q$ moving with velocity $v$ can be written :
    View Solution
  • 6
    “On flowing current in a conducting wire the magnetic field produces around it.” It is a law of
    View Solution
  • 7
     The resistance of a galvanometer is $50\,\Omega $ and it requires $2\,\mu A$ per two division deflection. The value of the shunt required in order to convert this galvanometer into ammeter of range $5\,A$ is (The number of divisions on the galvanometer scale on one side is $30$)
    View Solution
  • 8
    A metallic ring with a small cut is held horizontally and a magnet is allowed to fall  vertically through the ring then the acceleration of the metallic ring is :
    View Solution
  • 9
    A current of $i$ ampere is flowing in an equilateral triangle of side $a$. The magnetic induction at the centroid will be
    View Solution
  • 10
    Three long, straight and parallel wires carrying currents are arranged as shown in the figure. The wire $C$ which carries a current of $5.0\, amp$ is so placed that it experiences no force. The distance of wire $C$ from wire $D$ is then
    View Solution