Exam

JEE Main

Year

2019

Date

10 January

Shift

Morning Shift

Subject

Physics

Chapter

Mechanical Properties of Fluids

JEE Main 2019 · 10 January · Morning Shift · Physics · Mechanical Properties of Fluids

Water flows into a large tank with flat bottom at the rate of 10 ^...

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 $1c{m}^{2}$ at its bottom. If the height of the water in the tank remains steady then this height is:

Step-by-step solution

Amount of water going out = amount of water coming in.

$\sqrt{2gh} \times A = V$

$h = \dfrac{{\left({10}^{- 4}\right)}^{2}}{2 \times 9.8 \times {\left({10}^{- 4}\right)}^{2}} = 5.1cm$