JEE Main 2022 · 27 Jun · Shift 1 · Physics Q59

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PhysicsInteger+4 / -1Question 59 of 90

The area of cross-section of a large tank is 0.5 m $^2$ . It has a narrow opening near the bottom having area of cross-section 1 cm $^2$ . A load of 25 kg is applied on the water at the top in the tank. Neglecting the speed of water in the tank, the velocity of the water, coming out of the opening at the time when the height of water level in the tank is 40 cm above the bottom, will be ______ cms $^{-1}$ . [Take $g=10$ ms $^{-2}$ ]

Your answer

Answer and worked solution

Official answer: 300

Extra pressure from the load: $\frac{250}{0.5}=500$ Pa.

Torricelli. $v^2=2\left(gh+\frac P\rho\right)=2(4+0.5)=9$ , so $v=3$ m/s $=300$ cm/s.

Answer: 300

Topics:Bernoulli's principle Pressure and Pascal's law

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JEE Main 2022 · 27 Jun · Shift 1, Physics question 59