The surface of water in a water tank of cross section area 750 cm² on… | JEE Main 2023 (1 Feb, Shift 2)

Q15JEE Main 2023 · 1 FEB · SHIFT 2Medium

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 ____________.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 2

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 $x = 2$ .

Report a mistake

More questions on Velocity of Efflux (Torricelli)

Consider a cylindrical tank of radius 1 m is filled with water. The top surface of water…JEE Main 2022 (28 Jul, Shift 2)
The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the…JEE Main 2022 (27 Jun, Shift 1)
The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is…JEE Main 2021 (27 Jul, Shift 2)
Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The…JEE Main 2021 (18 Mar, Shift 2)
A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of…JEE Main 2021 (27 Jul, Shift 1)
A large open tank containing water has two holes to its wall. A square hole of side a is…MHT CET 2020 (16 Oct, Shift 2)
A small hole of area of cross-section 2 mm2 present near the bottom of a fully filled…NEET 2019
Water flows into a large tank with flat bottom at the rate of 10–4m3s–1. Water is also…JEE Main 2019 (10 Jan, Shift 1)

Velocity of Efflux (Torricelli) question from JEE Main 2023 (1 Feb, Shift 2)

More questions on Velocity of Efflux (Torricelli)