Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Classical Mechanics Special Theory of Relativity
Which one of the following remains invariant under Lorentz transformation?
1
\(\frac{\partial }{\partial x}+\frac{\partial }{\partial y}+\frac{\partial }{\partial z}-\frac{1}{c^2}\frac{\partial }{\partial t}\)
2
\(\frac{\partial ^2}{\partial x^2}+\frac{\partial ^2}{\partial y^2}+\frac{\partial ^2}{\partial z^2}+\frac{1}{c^2}\frac{\partial ^2}{\partial t^2}\)
3
\(\frac{\partial ^2}{\partial x^2}+\frac{\partial ^2}{\partial y^2}+\frac{\partial ^2}{\partial z^2}-\frac{1}{c^2}\frac{\partial ^2}{\partial t^2}\)
4
\(\frac{\partial ^2}{\partial x^2}+\frac{\partial ^2}{\partial y^2}+\frac{\partial ^2}{\partial z^2}\)