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Question

A charged particle is moving with velocity v in a uniform magnetic field B. The magnetic force acting on it will be maximum when __________.

A
v & B are in same direction
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B
v & B are in opposite direction
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C
v & B are mutually perpendicular
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D
v & B make an angle of 45o with each other
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Solution

The correct option is B v & B are mutually perpendicular
We know,according to Lorentz force, F=q[E+(v×B)].
F=qv×B(E=0)
F(magnitude)=qvBsinθ
From here, we can see that magnetic force will be maximum when sinθ is maximum or θ=900.So, the magnetic force acting on it will be maximum when v and B are mutually perpendicular.
Therefore, C is correct option.

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