An electron moving with a speed $u$ along the positive $x-$axis at $y = 0$ enters a region of uniform magnetic field $\overrightarrow B = - {B_0}\hat k$ which exists to the right of $y$-axis. The electron exits from the region after some time with the speed $v$ at co-ordinate $y$, then
IIT 2004, Medium
Download our app for free and get started
(d) The energy of a charged particle moving in magnetic field remains constant because the magnetic field does not do any work. Therefore kinetic energy is constant i.e. $u = v$.
The force on electron will act along negative $y$-axis initially. The electron will undergo circular motion in clockwise direction and emerge out the field. So $y < 0$.
The force on electron will act along negative $y$-axis initially. The electron will undergo circular motion in clockwise direction and emerge out the field. So $y < 0$.
Download our appand 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
- 1An ammeter reads upto $1\, ampere$. Its internal resistance is $0.81\, ohm$. To increase the range to $10\, A$ the value of the required shunt is ............ $\Omega $View Solution
- 2View SolutionIf a copper rod carries a direct current, the magnetic field associated with the current will be
- 3A current of $I$ $ampere$ is passed through a straight wire of length $2.0$ $metres$. The magnetic field at a point in air at a distance of $3$ $metres$ from either end of wire and lying on the axis of wire will beView Solution
- 4View SolutionAn electron enters a chamber in which a uniform magnetic field is present as shown below. An electric field of appropriate magnitude is also applied, so that the electron travels undeviated without any change in its speed through the chamber. We are ignoring gravity. Then, the direction of the electric field is
- 5A charged particle initially at rest at $O$,when released follows a trajectory as shown alongside. Such a trajectory is possible in the presence ofView Solution
- 6View SolutionAn electron and a proton have equal kinetic energies. They enter in a magnetic field perpendicularly, Then
- 7Two concentric coplanar circular loops of radii ${r_1}$ and ${r_2}$ carry currents of respectively ${i_1}$ and ${i_2}$ in opposite directions (one clockwise and the other anticlockwise.) The magnetic induction at the centre of the loops is half that due to ${i_1}$ alone at the centre. If ${r_2} = 2{r_1}.$ the value of ${I_2}/{I_1}$ is....View Solution
- 8A wire carrying $I$ is shaped as shown. Section $AB$ is a quarter circle of radius $r.$ The magnetic field at $C$ is directedView Solution
- 9View SolutionWhen a charged particle enters a uniform magnetic field its kinetic energy
- 10A uniformly charged dielectric ring rotating with constant angular velocity $'\omega '$ about its geometrical axis then it producesView Solution