Concept explainers
(a)
Prove that
(a)
Answer to Problem 7P
It is proved that
Explanation of Solution
Write the uncertainty relation in energy.
Here,
Write the equation for energy.
Here,
Substitute equation (II) in (I) and
Here,
Write the equation for distance travelled by the particle.
Here,
Substitute equation (III) in the above equation to find
Conclusion:
The particle’s rest energy is
Substitute
Rearrange the above equation.
Here,
Thus, it is proved that
(b)
The relation between the range and the mass.
(b)
Answer to Problem 7P
The range is inversely proportional to the mass of the particle.
Explanation of Solution
Write the relation for the range.
Conclusion:
From the above equation, it is clear that the range and mass are inversely proportional.
Thus, the relation between the range and the mass is that the range is inversely proportional to the mass of the particle.
(c)
The range of the force that might be produced by the virtual exchange of proton.
(c)
Answer to Problem 7P
The range of the force that might be produced by the virtual exchange of proton is
Explanation of Solution
Write the relation for the range.
Conclusion:
Substitute
Thus, the range of the force that might be produced by the virtual exchange of proton is
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Chapter 46 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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