Properties Of Matter Ques 17
Analytical & Descriptive Questions
- A U-shaped tube contains a liquid of density $\rho$ and it is rotated about the line as shown in the figure. Find the difference in the levels of liquid column.
$(2005,2 M)$
Show Answer
Answer:
Correct Answer: 17.$H=\frac{\omega^2 L^2}{2 g}$
Solution:
- For circular motion of small element $d x$, we have
$ \begin{gathered} d F=(d m) x \omega^2 \\ \therefore(d p) A=(\rho A d x) \cdot x \omega^2 \text { or } d p=\rho \omega^2 x \cdot d x \\ \therefore \int_{p_1}^{p_2} d p=\rho \omega^2 \int_0^L x d x \Rightarrow p_2-p_1=\frac{\rho \omega^2 L^2}{2} \end{gathered} $
BETA
