How will the distance of closest affected when the kinetic energy become double?
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r₀= closest approach to nucleus
Within this distance, K.E of the alpha particle is converted to potential energy.
Given, Z= 80, K.E= 8 MeV
K.E= (1/4πε₀){(Ze)(2e)/r₀}
r0= (1/4πε₀){(Ze)(2e)/K.E}
={9×10⁹×2×80×(1.6×10⁻¹⁹)²}/ (8×106×1.6×10⁻¹⁹)
= 2.88×10⁻¹⁴
As we know, r₀∝ (1/K.E)
So, if the distance of the closest approach is halved, Kinetic energy becomes doubled.
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How will the distance of closest affected when the kinetic energy become double?
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