The surface of water in a water tank of cross section area 750 cm² on… | MHT CET 2024 (4 May, Shift 1)

Q11MHT CET 2024 · 4 MAY · SHIFT 1Medium

Velocity of Efflux (Torricelli)

The surface of water in a water tank of cross section area $750\text{ cm}^2$ on the top of a house is ' $h$ ' $\text{m}$ above the tap level. The speed of water coming out through the tap of cross section area $500\text{ mm}^2$ is $30\text{ cm/s}$ . At that instant $\frac{dh}{dt}$ is $x \times 10^{-3}\text{ m/s}$ . The value of ' $x$ ' will be

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Answer: (a)

Continuity: $A\left|\frac{dh}{dt}\right| = a v$
$\left|\frac{dh}{dt}\right| = \frac{(500\times10^{-6})(0.30)}{750\times10^{-4}} = 2\times10^{-3}\text{ m/s}$
So the answer is (a) $x = 2$ .

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Velocity of Efflux (Torricelli) question from MHT CET 2024 (4 May, Shift 1)

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