$A U-$ tube having horizontal arm of length $20$ $cm$, has uniform cross-sectional area $=1\ cm^2$. It is filled with water of volume $60$ $cc$. What volume of a liquid of density $4$ $g/cc$ should be poured from one side into the $U -$ tube so that no water is left in the horizontal arm of the tube ........ $cc$ ?
Diffcult
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$l_{w}=\frac{60}{1^{2}}=60 \mathrm{cm}$
$60 \rho_{w} g=h \rho_{l} g \Rightarrow h=\frac{60 \times 1}{4}=15 \mathrm{cm}$
$\therefore \quad l_{1}=15 \mathrm{cm}+20 \mathrm{cm}=35 \mathrm{cm}$
$V_{L}=l i A=35 \mathrm{cc}$
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