drive expression ofdistance of closest approach
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Distance of closest approach:
Distance of closest approach is the minimum distance between α–particle and Centre of nucleus just before it reflects back by 180°. Distance of closest approach is used to determine the approximate size of the nucleus. Size of nucleus is smaller than the distance of closest approach.
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Explanation:
K.E=1/2mv²
charge on alpha particle
q1=+2e
charge on scattering nucleus
q2=ze
now..
U= 1/4π€0 q1.q2/r0
U= 1/4π€0+2 e²z/r0
k.e= p.e
1/2 mv²=1/4π€02e²z/r0 (on cutting)
mv²= ze²/π€0r0
mv²π€0r0=e²Z (where r0 is a distance of closet approach)
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