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JEE Main202524 Jan 2025Evening ShiftPhysicsDual Nature of MatterActual

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

Options

  1. AE ^2= pc ^2+ m ^2 c ^2
  2. BE ^2= p ^2 c ^2+ m ^2 c ^2
  3. CE ^2= pc ^2+ m ^2 c ^4
  4. DE ^2= p ^2 c ^2+ m ^2 c ^4

Correct answer

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

Step-by-step solution

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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