Concept explainers
The reason behind Yukawa’s conclusion about the nonzero mass of carrier particle of strong force.
Answer to Problem 1FTD
From the non-zero value of mass calculated from uncertainty principle, Yukawa concluded that the nonzero mass of carrier particle of strong force.
Explanation of Solution
Initially, Yukawa assumed that strong force is also mediated by some particles similar to case of
Write the uncertainty principle in terms of energy of particle and time.
Here,
Write the equation for maximum distance that can be travelled by the particle using the energy
Here,
Rewrite the above relation by substituting the previous relation for
Rewrite the above relation in terms of
For
Conclusion: Therefore, from the non-zero value of mass calculated from uncertainty principle, Yukawa concluded that the nonzero mass of carrier particle of strong force.
Want to see more full solutions like this?
Chapter 39 Solutions
Essentials University Physics, Volume 1 and 2 - With Modified MasteringPhysics Access