Question:

Dimensions of resistance in an electrical circuit, in terms of dimension of mass $M$, of length $L$, of time $T$ and of current $I$, would be

Updated On: May 3, 2024
  • $[ML^2T^{-2}]$
  • $[ML^2T^{-1}I^{-1}]$
  • $[ML^2T^{-3}I^{-2}]$
  • $[ML^2T^{-3}I^{-1}]$
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The Correct Option is C

Solution and Explanation

$R =\frac{ V }{ I }=\frac{ J }{ IC } \equiv \frac{ ML ^{2} T ^{-2}}{ I ^{2} T } $
$= ML ^{2} T ^{-3} I ^{-2}$
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Concepts Used:

Physical World

The physical world includes the complications of the natural world around us. It is a type of analysis of the physical world around us to understand how it works. The fundamental forces that control nature are:

  • Gravitational Force is a universal force that exists as an outcome of mutual attraction between any two objects with respect to their masses.
  • Electromagnetic Force can be understood as the force that is present between the charged particles. The force is stated by Coulomb’s law.
  • Strong Nuclear Force is the force that ties the protons and neutrons in a nucleus. Of all the elemental forces in nature, a strong nuclear force is the strongest as its name suggests.
  • Weak Nuclear Force can only be noticed in some of the nuclear processes such as the beta decay of the nucleus.