Question 232: Properties of Matter

Question

Mercury is filled in a tube of radius $$2 \mathrm{~cm}$$ up to a height of $$30 \mathrm{~cm}$$. The force exerted by mercury on the bottom of the tube is _________ N.
(Given, atmospheric pressure $$=10^5 \mathrm{~Nm}^{-2}$$, density of mercury $$=1.36 	imes 10^4 \mathrm{~kg} \mathrm{~m}^{-3}, \mathrm{~g}=10 \mathrm{~m} \mathrm{~s}^{-2}, \pi=\frac{22}{7})$$

Accepted Answer

$$\begin{aligned}
F & =\left(p_0+ho g hight) A \
& =\left(10^5+1.36 	imes 10^4 	imes 10 	imes \frac{3}{10}ight) \frac{22}{7}\left(\frac{2}{100}ight)^2 \
& =177 \mathrm{~N}
\end{aligned}$$

Properties of Matter

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