Q. The dimensions of magnetic field in M, L, T and C (coulomb) is given as
A) $\left\lbrack {MLT}^{- 1}C^{- 1} \right\rbrack$
B) $\left\lbrack {MT}^{2}C^{- 2} \right\rbrack$
C) $\left\lbrack {MT}^{- 1}C^{- 1} \right\rbrack$
D) $\left\lbrack {MT}^{- 2}C^{- 1} \right\rbrack$
Explanation
Force $\ \ \ \ \ \ \ \ \ \ \ \ \ F = qvB$ $\ \ \ \ \ \ \ \ \ \ \ \left\lbrack MLT^{- 2} \right\rbrack = \lbrack C\rbrack\left\lbrack LT^{- 1} \right\rbrack\lbrack B\rbrack$ $\Rightarrow \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lbrack B\rbrack = \left\lbrack MC^{- 1}T^{- 1} \right\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.