Question:

The only mechanical quantity which has negative dimension of mass is

Updated On: Jul 11, 2024
  • angular momentum
  • torque
  • coefficient of thermal conductivity
  • gravitational constant
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The Correct Option is D

Solution and Explanation

Dimensional formula of angular momentum
$(L)=\left[M L^{2} T^{-1}\right]$
Torque $(\tau)=\left[M L^{2} T^{-2}\right]$
Coefficient of thermal conductivity
$(k)=\left[M L T^{-3} K^{-1}\right]$
Gravitational constant
$(G)=\left[M^{-1} L^{3} T^{-2}\right]$
Thus. gravitational constant has negative dimension of mass.
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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.