Question

A liquid is kept in a cylindrical jar, which is rotated about the cylindrical axis. The liquid rises at its sides. The radius of the jar is 'r', and speed of rotation is ${}^{\prime }{\omega }^{\prime }$. The difference in height at the centre and the sides of the jar is?

• A. $\frac{r^2{\omega }^2}{g}$
• B. $\frac{l{r}^2{\omega }^2}{2g}$
• C. $\frac{g}{r^2{\omega }^2}$
• D. $\frac{2g}{r^2{\omega }^2}$

Answer 1

The correct option is B $\frac{l{r}^2{\omega }^2}{2g}$

$P+\frac{1{pv}^2}{2}=constant$

$v=r\omega$

$P_{centre}+\frac{1{{pv}^2}_{centree}}{2}=P_{side}+\frac{1{pv}_{side}^2}{2}$

$v_{centre}=0$

$p_{centre}-P_{side}=\frac{1{\rho r}^2{\omega }^2}{2}$

$h\rho g=\frac{1{\rho r}^2{\omega }^2}{2}$

$h=\frac{1r^2{\omega }^2}{2g}$