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Chapter 6: Q19E (page 1520)

What is the mass (in kg) of theZ掳? What is the ratio of the mass of the to the mass of theZ掳 proton?

Short Answer

Expert verified

Mass of Z掳is 1.635脳10-25kg The ratio of the mass of theZ掳 to the mass of the proton is97.1992

Step by step solution

01

Mass of Z°

Mass of Z掳 particle is mz=91.2GeV/c2

02

calculate mass of Z° in kg hence find ratio

Mass of Z掳particle is mz=91.2GeV/c2

Mass ofZ掳in atomic mass units is,

mz=91.2脳103MeV/c2(c2/(931.5MeV/u))mz=97.906602u

Now, it is known that role="math" localid="1663947806501" 1u=1.67脳10-27kg

This results in,

mz=97.906602脳1.67脳10-27mz=1.635脳10-25kg

The mass of proton is mp=1.007276u.

The ratio of mass of Z掳to mass of proton is,

mz/mp=97.906602u/1.007276umz/mp=97.1992

Therefore, Mass of Z掳is 1.635脳10-25kg. The ratio of the mass of the to theZ掳 mass of the proton is

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