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Chapter 6: Q6E (page 1520)

Estimate the range of the force mediated by an 蝇0gmeson that has mass 783MeV/c2.

Short Answer

Expert verified

The range of the force is 1.26脳10-16m.

Step by step solution

01

Definition of force

The term force may be defined as the product of mass and acceleration.

02

Determine the range of force

The mass of the 蝇0particle is 783MeV/c2, and the minimum uncertainty energy is:

螖E=783MeV1.60脳10-13J/MeV

螖E=1.25脳10-10J

The lifetime 未tof the particle, according to the Heisenberg uncertainty principle:

未t=h2螖E

未t=1.055脳10-34J路s21.25脳10-10J

未t=4.21脳10-25s

If we consider the speed of light is the average speed of the particle than

r=c未tr=3脳108m/s4.21脳10-25sr=1.26脳10-16m

Hence, the range of the force is role="math" localid="1663932465949" 1.26脳10-16m.

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