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  4. 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

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Q. 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

Mechanical Properties of Fluids

Solution:

Let the difference between 2 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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