Question

The magnetic force on a point charge is F = q ( v $ \times $ B )
Here, q = electric charge ,v = velocity of point charge and B = magnetic field
The dimension of B is

• A. $ [ MLT^{ - 1} A ] $
• B. $ [ M^2 LT^{ - 2} A^{ - 1} ] $
• C. $ [ MT^{ - 2} A^{ - 1} ] $
• D. None of these

Answer 1

Answer: (C)

Magnetic force F = q v $ \times $ B
or $ F = q$ v $b \, sin \, \theta $
$ \therefore [ B ] = \bigg [ \frac{ F }{ qv } \bigg ] = \frac{ [ MLT^{ - 2} ] }{ [ AT ] [ LT^{ - 1} ] } $
= $ [ MT^{ - 2} A^{ - 1} ] $