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.

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Answer & Solution

Correct Answer

(D) \(\mathrm{E}^2=\mathrm{p}^2 \mathrm{c}^2+\mathrm{m}^2 \mathrm{c}^4\)

Step-by-step Solution

Detailed explanation

We need to check the dimensions only.
With momentum the dimension
\(E^2=p^2 C^2\)
And with mass \(E^2=m^2 c^4\)
So \(E^2=p^2 C^2+m^2 c^4\) (dimensionally)

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