Question:

The level of water in a tank is 5m high. A hole of area $1\,cm^2$ is made at the bottom of the tank. The rate of leakage of water from the hole in $m^3/s$ is $(g=10\,ms^{-2})$

Updated On: Jul 7, 2022
  • $10^{-3}$
  • $10^{-4}$
  • 10
  • $10^{-2}$
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

Velocity of water from the hole $=\sqrt {2} \times 5 \times 10 = 10\, m / s$ So, $Q = AV =1 \times 10^{-4} m ^{2} \times 10 m / s$ = $10^{-3} m ^{3} / s$
Was this answer helpful?
0
0

Concepts Used:

Pressure

Pressure is defined as the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Everyday examples of pressure are:

  • The working of the vacuum cleaner is an example of pressure. The fan inside the vacuum creates a low-pressure region which makes it easy to suck the dust particles inside the vacuum.
  • Using a knife for cutting is another example of pressure. The area exposed from the knife is small but the pressure is high enough to cut the vegetables and fruits.

Formula:

When a force of ‘F’ Newton is applied perpendicularly to a surface area ‘A’, then the pressure exerted on the surface by the force is equal to the ratio of F to A. The formula for pressure (P) is:

P = F / A

Units of Pressure:

The SI unit of pressure is the pascal (Pa)

A pascal can be defined as a force of one newton applied over a surface area of a one-meter square.