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Q.

There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density ρ. The difference in height between the holes is h. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is

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a

ghρa

b

2ghρa

c

2ρagh

d

ρgha

answer is C.

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Detailed Solution

Net force (reaction) =F=FB−FA=dpBdt−dpAdt=avBρ×vB−avAρ×vA∴F=aρvB2−vA2......(i)According to Bernoulli's theorempA+12ρvA2+ρgh=pB+12ρvB2+0⇒12ρvB2−vA2=ρgh⇒vB2−vA2=2gh From equation (i), F=2aρgh
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