Physics - Rotation Question with Solution | TestHub

Which of the following are correct expression for torque acting on a body?
B. $\vec{\tau }=\frac{\mathrm{d}}{\mathrm{dt}}(\overrightarrow{\mathrm{r}}\times \overrightarrow{\mathrm{p}})$
C. $\vec{\tau }=\overrightarrow{\mathrm{r}}\times \frac{\mathrm{dp}}{\mathrm{dt}}$
D. $\vec{\tau }=\mathrm{I}\vec{\alpha }$
E. $\vec{\tau }=\overrightarrow{\mathrm{r}}\times \overrightarrow{\mathrm{F}}$
( $\overrightarrow{\mathrm{r}}=$ position vector; $\overrightarrow{\mathrm{p}}=$ linear momentum;
$\overrightarrow{\mathrm{L}}=$ angular momentum; $\vec{\alpha }=$ angular acceleration;
$I=$ moment of inertia; $\vec{F}=$ force; $t=$ time)
Choose the correct answer from the options given below :