Concept explainers
The wavelength of the proton ()
Answer to Problem 21P
Solution:
The wavelength of proton ()is .
Explanation of Solution
Given Info:
The kinetic energy of electron and positron is 420KeV.
The rest energy of electron is 0.511MeV.
The rest energy of positron is 0.511MeV
Formula Used:
• ‘ ’ is the energy of the proton.
• ‘ ’is the rest energy of the electron.
• ‘ ’ is the rest energy of positron.
• KE is the kinetic energy of electron and positron
The formula to calculate wavelength is,
• ‘ ’is the wave length of proton.
• ‘E’ is the energy of the proton.
• ‘h’ is the Planck’s constant.
Calculation:
Substitute 0.511MeV for ‘ ’, 0.511 MeV for ‘ ’, 420 KeV for kinetic energy, to find energy of each proton ‘E’
(I)
Substitute 931KeV for ‘E’, for ‘h’, for ‘c’, to find wavelength
(II)
Thus, the wavelength of proton ()is .
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