An electron is projected with velocity $v_0$ in a uniform electric field $E$ perpendicular to the field. Again,it is projected with velocity $v_0$ perpendicular to a uniform magnetic field $B$. If $r_1$ is the initial radius of curvature just after entering the electric field and $r_2$ is the initial radius of curvature just after entering the magnetic field,then the ratio $r_1:r_2$ is equal to:

  • A
    $\frac{Bv_0^2}{E}$
  • B
    $\frac{B}{E}$
  • C
    $\frac{Ev_0}{B}$
  • D
    $\frac{Bv_0}{E}$

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Choose the correct statement.

Three infinite wires are arranged in space in three dimensions (along $x$,$y$,and $z$ axes) as shown. Each wire carries current $i$. Find the magnetic field at point $A$ located at $(r, -r, 0)$.

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Match the following:
List-$I$List-$II$
$a$. Fleming's left-hand rule$e$. Direction of induced current
$b$. Fleming's right-hand rule$f$. South pole
$c$. Clockwise current$g$. North pole
$d$. Anticlockwise current$h$. Direction of force

The correct answer is:

$A$ very long wire $ABDMNDC$ is shown in the figure carrying current $I$. $AB$ and $BC$ parts are straight,long,and at a right angle. At $D$,the wire forms a circular turn $DMND$ of radius $R$. $AB$ and $BC$ parts are tangential to the circular turn at $N$ and $D$. The magnetic field at the centre of the circle is

$A$ thin,straight conductor lies along the axis of a hollow conductor of radius $R$. The two carry equal currents in the same direction. The magnetic field $B$ is plotted against the distance $r$ from the axis. Which of the following best represents the resulting curve?

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