Which of the following having same dimension? (A) Electric...

Which of the following having same dimension?
(A) Electric flux, electric field, electric dipole moment
(B) Pressure, stress, young's modulus
(C) Electromotive force, potential difference, electric voltage
(D) Heat, potential energy, work done.

Key Concepts

Stress

Stress, in mechanics, quantifies the internal forces acting within a material per unit area, similar to pressure. It is also measured in pascals (N/m²), emphasizing the direct relationship between applied loads and the material's response.

Young's Modulus

Young's modulus is a measure of the stiffness of a material, defined as the ratio of stress (force per unit area) to strain (relative deformation) in the elastic region. Because stress is measured in pascals, Young's modulus shares the same dimensional units, underscoring its role in material science and elasticity.

Dimensional Analysis

Dimensional analysis is a technique used to ensure that equations describing physical phenomena are consistent in terms of their units. It helps compare and confirm that different physical quantities have the same or compatible dimensions, which is essential in verifying the validity of physical relationships.

Pressure

Pressure is defined as the force applied per unit area and is measured in pascals (N/m²). Its dimensional formula is derived from the fundamental units of force and area, making it a key concept in understanding how forces are distributed over surfaces.

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