Q 12-11-051JEE MainJEE Main 2025 (24 Jan, Shift 2)Easy
The energy $E$ and momentum $p$ of a moving body of mass $m$ are related by some equation. Given that $c$ represents the speed of light, identify the correct equation.
Answer: (D) $E^2 = p^2c^2 + m^2c^4$
The relativistic energy–momentum relation is
$$E^2 = p^2c^2 + m^2c^4$$
Dimension check: $pc$ and $mc^2$ both have the dimension of energy, so only option (4) is consistent.
Solution by Sreeraj P, M.Sc Physics