Question

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. $E^2 = p^2c^2 + m^2c^4$

Answer 1

Answer: (D)

$E^2 = p^2c^2 + m^2c^4$

Answer 2

The relativistic energy-momentum relation is given by $E^2 = p^2c^2 + m^2c^4$, where $E$ is energy, $p$ is momentum, $m$ is rest mass, and $c$ is the speed of light. This equation directly matches option (4).