Question
Download Solution PDFChoose the physical quantity having same dimensional formula as that of energy.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Work done: The dot product of force and displacement is called work done.
Work done (W) = F.s cos θ
Where F is force, s is displacement and θ is the angle between F and s.
Dimensional formula of work (W) = [ML2T-2]
- Energy: The capacity to do work is called energy.
Energy (E) = Work done (W)
Dimensional formula of Energy (E) = dimensional formula of work done (W) = [ML2T-2]
- Power: It is defined as the rate of doing work.
\(\therefore P = \frac{W}{t}\)
Where, P = power, W = work done and t = time.
The dimensional formula of power P is [ML2T-3].
- Pressure: The pressure is defined as force per unit area.
\(P = \frac{F}{A}\)
As force = mass × acceleration
∴ Dimensional formula of force (F) = [MLT-2]
Hence the dimensional formula of pressure is
\(P = \frac{F}{A} = \frac{{ML{T^{ - 2}}}}{{{L^2}}} = M{L^{ - 1}}{T^{ - 2}}\)
EXPLANATION:
From the above explanation it is clear that
- Work done has same dimensional formula as that of energy. So option 4 is correct.
Last updated on Jul 4, 2025
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