Physics - Unit & Dimension Question with Solution | TestHub

(a) Magnetic flux $\varphi =Bs=\left(\frac{F}{qv}\right)s$ (as
$F=Bqv$ ):
$[\varphi ]=\frac{\left[ML{T}^{-2}\right]\left[L^2\right]}{[Q]\left[L{T}^{-1}\right]}$
$=\left[M{L}^2{T}^{-1}{Q}^{-1}\right]$.
(b) Rigidity modulus = (F/A) / shear strain
shear strain is dimensionless, so
$[\eta ]=\frac{\left[ML{T}^{-2}\right]}{\left[L^2\right]}$
$=\left[M{L}^{-1}{T}^{-2}\right]$.