Dimensionally, Correct Relations Among Angle $\theta$ , Angular Velocity $\omega$ , and Angular Acceleration

Multiple Choice

Dimensionally, correct relations among angle $\theta$ , angular velocity $\omega$ , and angular acceleration $\alpha$ include all of the following except

A) $[ \alpha ] = [ \omega ] \cdot [ \theta ]$
B) $[ \omega ] = [ \alpha ] \cdot [ \mathrm { t } ]$
C) $[ \theta ] = [ \alpha ] \cdot \left[ \mathrm { t } ^ { 2 } \right]$
D) $[ \omega ] = [ \alpha ] \cdot [ \theta ]$