In a hydrogen atom, an electron moves in a circular orbit of radius $5.2 \times {10^{ - 11}}\,m$ and produces a magnetic induction of $12.56\, T$ at its nucleus. The current produced by the motion of the electron will be (Given ${\mu _0} = 4\pi \times {10^{ - 7}}\,Wb/A - m)$
Easy
Download our app for free and get startedPlay store
(d) $B = \frac{{{\mu _0}}}{{4\pi }}.\frac{{2\pi i}}{r} \Rightarrow 12.56 = {10^{ - 7}} \times \frac{{2\pi \times i}}{{5.2 \times {{10}^{ - 11}}}}$
$ \Rightarrow i = 1.04 \times {10^{ - 3}}\,A$
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 beam of electrons and protons move parallel to each other in the same direction, then they
    View Solution
  • 2
    A galvanmeter has a coil of resistance $200 \Omega$ with a full scale deflection at $20 \mu \mathrm{A}$. The value of resistance to be added to use it as an ammeter of range $(0-20) \mathrm{mA}$ is:
    View Solution
  • 3
    What is shape of magnet in moving coil galvanometer to make the radial magnetic field
    View Solution
  • 4
    A galvanometer with a resistance of $12 \,\Omega$ gives full scale deflection when a current of $3\, mA$ is passed. It is required to convert it into a voltmeter which can read up to $18\, V$. the resistance to be connected is ............... $\Omega $
    View Solution
  • 5
    Two long and parallel wires are at a distance of $0.1\, m$ and a current of $5\, A$ is flowing in each of these wires. The force per unit length due to these wires will be
    View Solution
  • 6
    In order to pass $10\,\%$ of main current through a moving coil galvanometer of $99\, ohm$, the resistance of the required shunt is ............ $\Omega $
    View Solution
  • 7
    A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $\vec {B}$ is in plane of the coil. If due to a current $i$ in the triangle a torque $\tau$ acts on it, the side $l$ of the triangle is
    View Solution
  • 8
    A steady current is set up in a cubic network composed of wires of equal resistance and length $d$ as shown in figure. What is the magnetic field at the centre P due to the cubic network
    View Solution
  • 9
    A charged particle enters a uniform magnetic field perpendicular to it. The magnetic field
    View Solution
  • 10
    Two concentric coils $X$ and $Y$ of radii $16 \,\,cm$ and $10 \,\,cm$ lie in the same vertical plane containing $N-S$ direction. $X$ has $20$ $turns$ and carries $16 \,\,A.$ $Y$ has $25$ $turns$ $\&$ carries $18\,A$. $X$ has current in anticlockwise direction and $Y$ has current in clockwise direction for an observer, looking at the coils facing the west. The magnitude of net magnetic field at their common centre is
    View Solution