A charged particle moves in a gravity-free space without change i… - Vidyadip

MCQ

A charged particle moves in a gravity$-$free space without change in velocity. Which of the following is are possible:

$\text{E}=0,\ \text{B}=0$
$\text{E}=0,\ \text{B}\not=0$
$\text{E}\not=0,\ \text{B}=0$
$\text{E}\not=0,\ \text{B}\not=0$

A
Only $a$
B
$a$ and $b$
C
only $d$
✓
$a,b$ and $d$

✓

Answer

Correct option: D.

$a,b$ and $d$

$\Rightarrow$ Particle move with constant velocity in ay direction. So, $B = 0, E = 0$
$\Rightarrow$ Particle move in a circle with constant speed. Magnetic force is provide the centripetal force that causes particle is move in a circle.
$\Rightarrow$ If $\text{qE = qvB}$ and Magnetic Electric force in opposite direction in this case particle also move with uniform speed.

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