Physics · 2019
JEE Main · 10 January 2019, Shift 1 · Q9
Water flows into a large tank with flat bottom at the rate of 10^-4 m^3 s^-1. Water is also leaking out of a hole of area 1 cm^2 at its bottom. If…
Water flows into a large tank with flat bottom at the rate of $\displaystyle 10^{-4} \mathrm{~m}^3 \mathrm{~s}^{-1}$. Water is also leaking out of a hole of area $\displaystyle 1 \mathrm{~cm}^2$ at its bottom. If the height of the water in the tank remains steady, then this height is :
Official answer
(1)
5.$\displaystyle 1$ cm
More from Fluid Statics and Dynamics
- Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m^2. The tank has an opening B near the bottom whose cross-section…2021
- A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area ' a ' is made just at its bottom side.…2021
- A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? (Given: density of water =1000…2025
- A cylindrical tube A B of length l, closed at both ends contains an ideal gas of 1 mol having molecular weight M. The tube is rotated in a horizontal…2026
- Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area 0.5 m^2. It has a small hole in its side at a height 90…2025
- A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of an uniform rigid rod of 27 cm long. The rod along with…2025
- Water flows through a horizontal tube as shown in the figure. The difference in height between the water columns in vertical tubes is 5 cm and the…2026
- If p is the density and η is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds…2022
JEE Main 2019 Physics question, with the answer from NTA’s final answer key. Where our answers come from.