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
  • A$v > u, y < 0$
  • B$v = u, y > 0$
  • C$v > u, y > 0$
  • D$v = u, y < 0$
IIT 2004, 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
    There is a long cylindrical pipe wire of internal radius $r$ and external radius $R$ carrying current $i$ along its length. The variation of magnetic field with distance from the axis of the wire can be represented by the :-
    View Solution
  • 2
    The ratio of the magnetic field at the centre of a current carrying coil of the radius $a$ and at a distance ‘$a$’ from centre of the coil and perpendicular to the axis of coil is
    View Solution
  • 3
    A long solenoid carrying a current produces a magnetic field $B$ along its axis. If the current is doubled and the number of turns per cm is halved, the new value of the magnetic field is
    View Solution
  • 4
    A straight wire of diameter $0.5\, mm$ carrying a current of $1\, A$ is replaced by another wire of $1\, mm$ diameter carrying the same current. The strength of magnetic field far away is
    View Solution
  • 5
    A current $I$ flows in an infinitely long wire with cross-section in the form of a semicircular ring of radius $R$. The magnitude of the magnetic induction along its axis is
    View Solution
  • 6
    The resistance of a galvanometer is $90\, ohms$. If only $10$ percent of the main current may flow through the galvanometer, in which way and of what value, a resistor is to be used
    View Solution
  • 7
    For designing a voltmeter of range $50\,V$ and an ammeter of range $10\,mA$ using a galvanometer which has a coil of resistance $54\,\Omega$ showing a full scale deflection for $1\,mA$ as in figure.

    $(A)$ for voltmeter $R \approx 50\,k\Omega$

    $(B)$ for ammeter $r \approx 0.2\,\Omega$

    $(C)$ for ammeter $r \approx 6\,\Omega$

    $(D)$ for voltmeter $R \approx 5\,k \Omega$

    $(E)$ for voltmeter $R \approx 500 \Omega$

    Choose the correct answer from the options given below

    View Solution
  • 8
    Electron of mass $m$ and charge $q$ is travelling with a speed along a circular path of radius $r$ at right angles to a uniform magnetic field of intensity $B$. If the speed of the electron is doubled and the magnetic field is halved the resulting path would have a radius
    View Solution
  • 9
    A triangular loop of side $l$ carries a current $I$. It is placed in a magnetic field $B$ such that the plane of the loop is in the direction of $B$. The torque on the loop is
    View Solution
  • 10
    A current of $i$ ampere is flowing in an equilateral triangle of side $a$. The magnetic induction at the centroid will be
    View Solution