Nuclear Physics and RadioactivityHard

Question

An α - particle of energy 5 MeV is scattered through 180o by a fixed uranium nucleus. The distance of the closest approach is of the order of

Options

A.1
B.10-10 cm
C.10-12 cm
D.10-15 cm

Solution

At closest approach, all the kinetic energy of the α-particle will converted into the potential energy of the system, K.E. = P.E.
5 MeV =
5 × 106 × e = 9 × 109
r =
∴     r = 5.3 × 10-14 m = 5.3 × 10-12 cm.

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