Which of the following group have different dimension? (A)...

Which of the following group have different dimension?
(A) Potential difference, EMF, voltage
(B) Pressure, stress, Young's modulus
(C) Heat, energy, work-done
(D) Dipole moment, electric-flux, electric field

Key Concepts

Dimensional Homogeneity

Dimensional homogeneity is the principle that all terms within a physically meaningful equation must have the same dimensions. This concept ensures that equations are valid and allows for the checking of consistency, helping to identify which quantities can be meaningfully added, equated, or compared.

SI Base Units

SI base units represent the standardized measurement system used to quantify physical dimensions consistently across scientific disciplines. Each physical quantity, whether energy, force, pressure, or electric field, is expressed as a combination of these units, providing a common language for analysis and comparison.

Dimensional Analysis

Dimensional analysis is a method that involves comparing the dimensions (expressed in terms of mass, length, time, and other fundamental quantities) of physical quantities to ensure that mathematical expressions are consistent. It is a crucial tool for verifying equations, converting units, and predicting relationships between different physical variables.

Fundamental Physical Dimensions

Fundamental physical dimensions refer to the basic types of quantities from which all other physical quantities are derived. These typically include mass, length, time, electric current, temperature, amount of substance, and luminous intensity, serving as the building blocks for expressing and comparing physical parameters.

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