Q. 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
A) $E^2=pc^2+m^2c^2$
B) $E^2=p^2c^2+m^2c^2$
C) $E^2=pc^2+m^2c^4$
D) $E^2=p^2c^2+m^2c^4$
Explanation
[Solution by Dr. Abubacker] The relativistic energy-momentum relation is $E^2=p^2c^2+m^2c^4$ (check dimensions: each term has the dimensions of energy squared). Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.