It takes about 2000 times as much energy to create a proton as it does to create an electron. If an electron-positron pair can live on borrowed energy for 6×10-22 s, how long can a proton-antiproton pair live?

(A) 6×10-22 s --- (B) 12×10-19 s
(C) 3×10-25 s --- (D) 2000s


Questions --- What this question is about
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It takes about 2000 times as much energy to create a proton as it does to create an electron. If an electron-positron pair can live on borrowed energy for 6×10-22 s, how long can a proton-antiproton pair live?

(A) 6×10-22 s --- No.
The energy uncertainty is much larger.

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Questions --- What this question is about
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It takes about 2000 times as much energy to create a proton as it does to create an electron. If an electron-positron pair can live on borrowed energy for 6×10-22 s, how long can a proton-antiproton pair live?

(B) 12×10-19 s --- No. The product
of the uncertainties must be the same.

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Questions --- What this question is about
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It takes about 2000 times as much energy to create a proton as it does to create an electron. If an electron-positron pair can live on borrowed energy for 6×10-22 s, how long can a proton-antiproton pair live?

(C) 3×10-25 s --- Yes.
Divide by a factor of 2000.

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Questions --- What this question is about
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It takes about 2000 times as much energy to create a proton as it does to create an electron. If an electron-positron pair can live on borrowed energy for 6×10-22 s, how long can a proton-antiproton pair live?

(D) 2000s --- No. Calculate it
using the energy-time uncertainty relation.

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Questions --- What this question is about
122.3