Magnetics 1 Question 13

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

(2000, 2M)

(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

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Answer:

Correct Answer: 13. (c)

Solution:

  1. We can write E=Ei^ and B=Bk^

Velocity of the particle will be along q. E direction. Therefore, we can write

v=AqEi^

In E,B and v,A,E and B are positive constants while q can be positive or negative.

Now, magnetic force on the particle will be

Fm=q(v×B)=qAqEi^×Bk^=q2AEB(i^×k^)Fm=q2AEB(j^)

Since, Fm is along negative y-axis, no matter what is the sign of charge q. Therefore, all ions will deflect towards negative y-direction.



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