Post Utme Madonna University 2018 Physics Question 13

Practice objective / multiple choice question 13 from the 2018 Post Utme Madonna University Physics examination.

Post Utme Madonna University 2018 Physics Objective / Multiple Choice
Question 13 POST_UTME_MADONNA_UNIVERSITY • 2018 • PHYSICS • objective

A \tank of water is filled to a height $h$ and has a radius $R$. A small hole of radius $r$ is drilled at the bottom of the \tank. Assuming the water flows out of the hole with a speed $v$ and neglecting air resis\tance, find the rate at which the water level falls.

Answer Options

Correct Answer A. \frac{dh}{dt} = -\frac{r^2 v}{\pi R^2 h}
B. \frac{dh}{dt} = -\frac{v}{\pi R^2 h}
C. \frac{dh}{dt} = -\frac{r^2 v}{\pi R^2}
D. \frac{dh}{dt} = -\frac{v}{\pi R^2}
Correct Answer
A
Correct Option:
\frac{dh}{dt} = -\frac{r^2 v}{\pi R^2 h}

About This Question

This is Post Utme Madonna University 2018 Physics Question 13. It is one of the objective questions from the 2018 Post Utme Madonna University Physics examination.

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