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NEET - 2010

An alpha nucleus of energy 12mv2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to

(a) 1Ze                              (b) v2

(c) 1m                               (d) 1v4

αparticle of mass m possesses initial velocity v, when it is at a large distance from the nucleus of an atom having atomic number Z. At the distance of closest approach, the kinetic energy of αparticle is completely converted into potential energy. Mathematically,

            12mv2=14πε02eZer0

           r0=14πε02Ze212mv2

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