An ionized gas contains both positive and negative ions initially at rest. If it is subjected simultaneously to an electric field along the $+ x$ -direction and a magnetic field along the $+ z$ -direction, then

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(d) positive ions deflect towards $- y$ -direction and negative ions towards $+ y$ -direction

(a) positive ions deflect towards $+ y$ -direction and negative ions towards $- y$ -direction

(b) all ions deflect towards $+ y$ -direction

answer is A.

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Detailed Solution

If $q$ is positive, then due to electric field, their velocity will become towards positive $x$ -axis. Now,

$F_{m} = q (v \times B)$

$v \to$ towards $\hat{i}$

$B \to$ towards $\hat{k}$

$∴ F_{m} \to$ towards $- \hat{j}$

Similarly, we can see with negative charge.

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