Answer
The verified dimensions are the following:
a) Frequency, $FLTsystem: T^{-1}$, $MLTsystem: T^{-1}$
b) Stress, $FLTsystem: FL^{-2}$, $MLTsystem: ML^{-1}T^{-2}$
c) Strain, $FLTsystem: F^{0}L^{0}T^{0}$, $MLTsystem: M^{0}L^{0}T^{0}$
d) Torque, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$
e) Work, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$
Work Step by Step
Using the International System of Units:
a)$Frequency=Hz=\frac{1}{s}$
$FLTsystem: T^{-1}$
$MLTsystem: T^{-1}$
b)$Stress=\frac{N}{m^{2}}=\frac{Kg}{ms^{2}}$
$FLTsystem: FL^{-2}$
$MLTsystem: ML^{-1}T^{-2}$
c)$Strain=\frac{m}{m}=Dimensionless$
$FLTsystem: F^{0}L^{0}T^{0}$
$MLTsystem: M^{0}L^{0}T^{0}$
d)$Torque=Nm=\frac{Kgm^{2}}{s^{2}}$
$FLTsystem: FL$
$MLTsystem: ML^{2}T^{-2}$
e)$Work=J=Nm=\frac{Kgm^{2}}{s^{2}}$
$FLTsystem: FL$
$MLTsystem: ML^{2}T^{-2}$
