Question

In ionized gas contains both positive and negative ans. If it is subjected simultaneously to an electric field along the + x direction and a magnetic field long the +zdirection, then

• A. Positive ions deflect towards +y-direction and Negative ions towards -y-direction
• B. All ions deflect towards +y-direction
• C. All ions deflect towards -y-direction
• D. Positive ions deflect towards -y-direction and Negative ions towards +y-direction

Answer 1

Answer: (C)

All ions deflect towards -y-direction

Given : In ionized gas contains both positive and negative ans. If it is subjected simultaneously to an electric field along the + x direction and a magnetic field long the +zdirection, then

Solution:

Case 1(For positive charge)

Case of positively charged particle: Two forces are acting on the positively charged particle one force due to electric field in the positive x direction, and other force due to magnetic field.

$\overrightarrow{F}=q(\overrightarrow{V}\times \overrightarrow{B})$

$F=q(v\hat{i}\times B\hat{k})$ = $qvB(-\hat{j})$

hence positive charge will diflect towards -Y axis.

Case 2(For negative charge)

Two forces are acting on the negatively charged particle one due to electric field in the negative X direction, and other due to magnetic field

$\overrightarrow{F}=q(\overrightarrow{V}\times \overrightarrow{B})$

$F=-q\left(v\right(-\hat{i})\times B\hat{k})$ = $qvB(-\hat{j})$

This force will deflect the positively charged particle toward -y axis.

The correct opt :C