A tank containing a liquid has a small hole in the bottom through which it escapes. The velocity u at which the liquid escapes is given by u = C V ρ g where V is the volume, ρ is the density and g is the acceleration due to gravity. Find the dimension of the constant C using dimensional analysis.
A tank containing a liquid has a small hole in the bottom through which it escapes. The velocity u at which the liquid escapes is given by
u = C V ρ g
where V is the volume, ρ is the density and g is the acceleration due to gravity. Find the dimension of the constant C using dimensional analysis.
A tank containing a liquid has a small hole in the bottom through which it escapes. The velocity u at which the liquid escapes is given by
u = C V ρ g
where V is the volume, ρ is the density and g is the acceleration due to gravity. Find the dimension of the constant C using dimensional analysis.
M − 1 L T
M L T − 1
M − 1 L 0 T
M L 0 T − 1
C is dimensionless.
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)