Physics Work & Energy MDCAT 2016
PMDC Verified Question 98 of 108
Potential energy per unit volume is given by
A
\( mgh \)
B
\( gh \)
C
\( \frac{mgh}{\rho} \)
D
\( \rho gh \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \( \rho gh \)
Concept:

Density (\( \rho \)) is defined as mass per unit volume (\( m/V \)). We can substitute this into the standard potential energy formula.

Formula:

$$ \frac{P.E}{V} = \frac{mgh}{V} $$

Solution:

  • Gravitational Potential Energy = \( mgh \)


  • Divide by Volume (\( V \)): \( \frac{mgh}{V} \)


  • Since mass/volume (\( \frac{m}{V} \)) is density (\( \rho \)), the expression becomes \( \rho gh \).


Why other options are incorrect:

Option A is total potential energy. Option B is potential energy per unit mass. Option C wrongly divides by density instead of multiplying.

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