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
see full answer
Want to Fund your own JEE / NEET / Foundation preparation ??
Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya
a
ghρa
b
2ghρ a
c
2ρagh
d
ρgha
answer is C.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
Net force (reaction) = F=FB−FA=dpBdt−dpAdt =avBρ×vB−avAρ×vA∴ F=aρvB2−vA2 …(i)According to Bernoulli's theorem pA+12ρvA2+ρgh=pB+12ρvB2+0⇒12ρvB2−vA2=ρgh⇒vB2−vA2=2ghFrom equation (i), F=2aρgh.
Watch 3-min video & get full concept clarity