Match the following two columns. Column I Column II (a) Electrical resistance (p) [MLT^-2 A^2

step 1 We have column first and column second. So for column first resistance, we know that presence R

Match the following two columns. Column I Column II (a)...

Match the following two columns. Column I $\quad$ Column II (a) Electrical resistance (p) $\left[\mathrm{MLT}^{-2} \mathrm{~A}^{2}\right]$ (b) Electric potential (q) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right]$ (c) Specific resistance (r) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]$ (d) Specific conductance (s) None of there (A) $a-q, b-s, c-r, d-p$ (B) $a-q, b-r, c-s, d-s$ (C) $a-p, b-q, c-s, d-r$ (D) $a-p, b-r, c-q, d-s$

Match the following two columns.
Column I $\quad$ Column II
(a) Electrical resistance
(p) $\left[\mathrm{MLT}^{-2} \mathrm{~A}^{2}\right]$
(b) Electric potential
(q) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-2}\right]$
(c) Specific resistance
(r) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]$
(d) Specific conductance
(s) None of there
(A) $a-q, b-s, c-r, d-p$
(B) $a-q, b-r, c-s, d-s$
(C) $a-p, b-q, c-s, d-r$
(D) $a-p, b-r, c-q, d-s$

Key Concepts

Dimensional Analysis

Dimensional analysis is a fundamental technique in physics that involves expressing physical quantities in terms of basic dimensions such as mass, length, time, and electric current. This method is used to check the consistency of equations, derive relationships between quantities, and convert between different unit systems. In electromagnetism, dimensional analysis helps in confirming that derived expressions for electrical quantities conform to the expected units and dimensions.

Electrical Resistance

Electrical resistance measures how much an object opposes the flow of electric current. It is defined by Ohm’s law as the ratio of voltage difference to the current passing through the object. Its dimensional formula reflects the interplay between energy (or work) and current, making it essential for analyzing and designing electrical circuits.

Electric Potential

Electric potential is the amount of electric potential energy per unit charge at a specific point within an electric field. It quantifies the work needed to move a charge from one point to another and is expressed in volts. The dimensional formula of electric potential is derived from the energy per unit charge concept, which underlines its significance in circuit analysis and electromagnetic theory.

Resistivity and Conductivity

Resistivity, often referred to as specific resistance, is a material property that quantifies how strongly a material opposes the flow of electric current. Its reciprocal, conductivity (or specific conductance), measures how well a material conducts electric current. These properties are crucial in understanding material behavior in electrical applications and are used to select appropriate materials for various components in electrical devices.

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