Question

If electric force $F _{e}$ and magnetic force $F _{ B }$ are given as
$F _{e}= qE$
and $F _{ B }= qVB$ respectively then find out dimensions of $E / B$ where
$E =$ Electric field
$V =$ Velocity
$B =$ Magnetic field
$q =$ Charge
$B =$ Magnetic $q =$ Charge

• A. $\left[ M ^{1} L ^{0} T ^{-1}\right]$
• B. $\left[ M ^{0} L ^{0} T ^{-1}\right]$
• C. $\left[ M ^{0} LT ^{-1]}\right.$
• D. $\left[ M ^{1} L ^{1} T ^{-1}\right]$

Answer 1

Answer: (C)

$F _{e}= qE$
$F _{ B }= qVB$
$[ qE ]=[ qVB ]$
$\left[\frac{ F }{ B }\right]=[ V ]$