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Question

A charged particle is moving with velocity $$v$$ in a magnetic field of induction $$B$$. The force on the particle will be maximum when


A
v and B are in the same direction
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B
v and B are in Opposite direction
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C
v and B are perpendicular
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D
v and B are at an angle of 45o
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Solution

The correct option is B $$v$$ and $$B$$ are perpendicular
Force $$= q(\vec{V}\times \vec{B})$$
$$= q VB \sin 0$$
Where, $$0$$ is angle between velocity and magnetic field.
So, $$\sin 0$$ is maximum when $$0$$ is $$90^o$$ or velocity is perpendicular to magnetic field.

Physics

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