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An election moving with a speed u along the positive x-axis at y = 0 enters a region of uniform magnetic field which exists to the right of y-axis. The electron exits from the region after some time with the speed v at coordinate y, then

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$v = u, y < 0$

$v > u, y < 0$

$v > u, y > 0$

$v = u, y > 0$

answer is D.

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Detailed Solution

Force on the electron is given by $\vec{F} = (- e) \vec{v} \times \vec{B}$ . Direction of $\vec{F} i s a l o n g n e g a t i v e y a x i s .$ Hence y will be less than zero.

The trajectory will be circular as shown .also since magnetic force does not perform any work on the electron , its speed remains unchanged.

hence v=u.

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