- #1
anachin6000
- 51
- 3
At what minimum distance can a particle 4α2, with kinetic energi Ec=4.77MeV, approach to a radium core 226Ra88.
This is how I solved it:
From energy conservation: ΔEc+ΔEp=0
Ec=[(Z1*Z2*e2)/(4*∏*ε)]*(1/r2-1/r1)
r2=1/[1/r1+4*∏*ε*Ec/(Z1*Z2*e2)] (1)
dr2/dr1=0 ⇔ r1→∞ (2)
From (1) and (2) ⇔ r2=1/[4*∏*ε*Ec/(Z1*Z2*e2)]
Now the problem is that in the book the correct answer is half of mine. Can someone help me to understand why?
This is how I solved it:
From energy conservation: ΔEc+ΔEp=0
Ec=[(Z1*Z2*e2)/(4*∏*ε)]*(1/r2-1/r1)
r2=1/[1/r1+4*∏*ε*Ec/(Z1*Z2*e2)] (1)
dr2/dr1=0 ⇔ r1→∞ (2)
From (1) and (2) ⇔ r2=1/[4*∏*ε*Ec/(Z1*Z2*e2)]
Now the problem is that in the book the correct answer is half of mine. Can someone help me to understand why?