A new particle is discovered at Stanford Linear Accelerator whose rest mass is 12.0 GeV/c².If the momentum of this new particle was 5.00 GeV/c,then what would be its total energy? A)7.00 GeV B)12.0 GeV C)13.0 GeV D)17.0 GeV

Question

Quizplus · Accepted Answer

The total energy of a particle with rest mass m and momentum p is given by the relativistic energy equation:

E = √(p^2c^2 + m^2c^4)

where c is the speed of light.

Substituting the given values, we get:

E = √((5.00 GeV/c)^2c^2 + (12.0 GeV/c^2)^2c^4)

= √(25.0 GeV^2 + 144.0 GeV^2)

= √169.0 GeV^2

= 13.0 GeV

Therefore, the total energy of the particle is 13.0 GeV. The correct choice is C.

A New Particle Is Discovered at Stanford Linear Accelerator Whose