An electron having charge $1.6 \times {10^{ - 19}}\,C$ and mass $9 \times {10^{ - 31}}\,kg$ is moving with $4 \times {10^6}\,m{s^{ - 1}}$ speed in a magnetic field $2 \times {10^{ - 1}}\,tesla$ in a circular orbit. The force acting on electron and the radius of the circular orbit will be
  • A$12.8 \times {10^{ - 13}}\,N,\,1.1 \times {10^{ - 4}}\,m$
  • B$1.28 \times {10^{ - 14}}\,N,\,1.1 \times {10^{ - 3}}\,m$
  • C$1.28 \times {10^{ - 13}}\,N,\,1.1 \times {10^{ - 3}}\,m$
  • D$1.28 \times {10^{ - 13}}\,N,\,1.1 \times {10^{ - 4}}\,m$
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
    A square loop of side $2\, a ,$ and carrying current I, is kept in $XZ$ plane with its centre at origin. A long wire carrying the same current $I$ is placed parallel to the $z-$axis and passing through the point $(0, b, 0),(b>>a)$. The magnitude of the torque on the loop about $z-$axis is given by:
    View Solution
  • 2
    The region between $y = 0$ and $y = d$ contains a magnetic field $\vec B = B\hat z$ A particle of mass $m$ and charge $q$ enters the region with a velocity $\vec v = v\hat i$. If $d = \frac{{mv}}{{2qB}}$ , the acceleration of the charged particle at the point of its emergence at the other side is
    View Solution
  • 3
    A particle of mass $'m'$ and carrying a charge $'q'$ enters with a velocity $'v'$ perpendicular to a uniform magnetic field. The time period of rotation of the particle
    View Solution
  • 4
    A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbitals in a plane due to magnetic field perpendicular to the plane. Let $r_p, r_e$ and $r_{He}$ be their respective radii, then
    View Solution
  • 5
    The ($\tau -\theta$) graph for a coil is
    View Solution
  • 6
    An infinitely long straight conductor carries a current of $5 \,\mathrm{~A}$ as shown. An electron is moving with a speed of $10^{5} \, \mathrm{~m} / \mathrm{s}$ parallel to the conductor. The perpendicular distance between the electron and the conductor is $20 \, \mathrm{~cm}$ at an instant. Calculate the magnitude of the force experienced by the electron at that instant in $\times 10^{-20} \,N$
    View Solution
  • 7
    A circular coil of $20$ $turns$ and radius $10\, cm$ is placed in uniform magnetic field of $0.10\, T$ normal to the plane of the coil. If the current in coil is $5\, A$, then the torque acting on the coil will be...... $Nm$
    View Solution
  • 8
    Field at the centre of a circular coil of radius $r$, through which a current $I$ flows is
    View Solution
  • 9
    Assertion $(A):$ A wire bent into an irregular shape with the points $P$ and $Q$ fixed. If a current $I$ passed through the wire, then the area enclosed by the irregular portion of the wire increases.

    Reason $(R):$ Opposite currents carrying wires repel each other.

    View Solution
  • 10
    A long straight wire carries a current of $35\, A$. What is the magnitude of the field $B$ at a point $20\, cm$ from the wire ?
    View Solution