1. Tardigrade
  2. Question
  3. Physics
  4. A container with square base of side a is filled up to a height H with a liquid. A hole is made at a depth h from the free surface of water. With what acceleration the container must be accelerated, so that the water does not come out?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A container with square base of side a is filled up to a height $H$ with a liquid. A hole is made at a depth $h$ from the free surface of water. With what acceleration the container must be accelerated, so that the water does not come out?

J & K CETJ & K CET 2005

Solution:

Bernoulli's theorem is a form of conservation of energy, hence we have
$ H_{0}+h\,\rho g=H_{0}+\frac{1}{2}\rho V^{2} $
When vessel is accelerated down with an acceleration $g$ (free fall), then pseudo acceleration $g$ will act vertically upwards and effective value of $g$ is zero.
Hence, water will not flow.

Solution Image