Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Dimensions of potential energy are
Text Solution
Verified by ExpertsThe correct answer is:
C
Step 1: The dimensions of potential energy can be derived from the formula for potential energy: $PE = mgh$, where $m$ is mass, $g$ is acceleration due to gravity, and $h$ is height.
Step 2: The dimensions of mass ($m$) are $[M]$, the dimensions of acceleration due to gravity ($g$) are $[L][T^{-2}]$, and height ($h$) has dimensions of length $[L]$.
Step 3: Substituting these dimensions into the potential energy formula gives:
$[PE] = [M][L][T^{-2}][L] = [M][L^{2}][T^{-2}]$.
Step 4: Therefore, the dimensions of potential energy are $[M][L^{2}][T^{-2}]$, which corresponds to option C: $[M L^{2} T^{-2}]$.
Therefore, the correct answer is C.
Step 2: The dimensions of mass ($m$) are $[M]$, the dimensions of acceleration due to gravity ($g$) are $[L][T^{-2}]$, and height ($h$) has dimensions of length $[L]$.
Step 3: Substituting these dimensions into the potential energy formula gives:
$[PE] = [M][L][T^{-2}][L] = [M][L^{2}][T^{-2}]$.
Step 4: Therefore, the dimensions of potential energy are $[M][L^{2}][T^{-2}]$, which corresponds to option C: $[M L^{2} T^{-2}]$.
Therefore, the correct answer is C.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Select the pair whose dimensions are same
Dimensional formula ML^{-1}T = does not represent the physical quantity
Dimensional formula mL^{2}T^{-2} represents
The dimensions of calorie are
Whose dimensions is \(\mathbf{ML} = \mathbf{T} \cdot \mathbf{r}\)
If l and \(\mathcal{R}\) are respectively the inductance and resistance, then the dimensions of \(\…