A vertical U-tube of uniform cross-section contains water in both the arms. A $10 \,cm$ glycerine column ($R.D$. $=1.2$ ) is added to one of the limbs. The level difference between the two free surfaces in the two limbs will be ...... $cm$
Medium
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(b)
Let the difference between $2 \operatorname{limbs}$ be $x$
Pressure on the line $Y Y$ should be same below both limbs, so
$\rho_{\text {glycerine }} \times g \times h=\rho_{\text {water }} \times g \times(h+x)$
$\Rightarrow 1.2 \times 10=1 \times(h+x)$
$\Rightarrow 2 \,cm =x$
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