The time-energy uncertainty principle permits one to create particles in a virtu

Question

The time-energy uncertainty principle permits one to create particles in a virtual form for brief times. These are particles the production of which violates energy conservation, but only for times short enough that delta E*delta t = h/4pi. During this short time, the virtual particles can propagate and interact, but then they must be annihilated again, so that, for times larger than delta t, energy is conserved. Suppose that a virtual particle for which mc^2 = 367 MeV is created, and during the time of its existence, it travels with a speed close to the speed of light. Roughly how far will the particle travel during its brief existence? (That is, how far will this virtual particle exert its influence?)

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