Question:

Dimensional formula for force is

Updated On: Jun 8, 2024
  • $ [ML^{2}T^{-2}]$
  • $ [MLT^{-2}]$
  • $ [ML^{-1}T^{-2}]$
  • $ [ML^{-2}T^{-2}]$
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The Correct Option is B

Solution and Explanation

Force $=$ mass $\times$ acceleration or $F=$ ma
$\therefore[F]=[m][a] =[M]\left[L T^{-2}\right]$
$=\left[M L T^{-2}\right]$
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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.