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Question

The closest distance of approach of an alpha particle travelling with a velocity ‘v’ towards Al13 nucleus is ‘d’. The closest distance of approach of an alpha particle travelling with velocity ‘4v’ towards Fe26 nucleus is

A
d8
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B
d4
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C
d8
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D
8d
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Solution

The correct option is C d8

12mv2=14πϵ0Ze2ddαZv2;d2d1=Z2Z1×[V1V2]2=26×V213×16V2d2=d18=d8


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