In Rutherford experiment α - particles are scattered by nucleus having charge 100 e - . Initial kinetic energy of α - particles is 6 MeV . The size of the nucleus is

Question

In Rutherford experiment α - particles are scattered by nucleus having charge 100 e - . Initial kinetic energy of α - particles is 6 MeV . The size of the nucleus is, 1 0 - 14 m, 3 × 1 0 - 14 m, 10 - 13 m, 10 - 16 m

MARKS App · Accepted Answer

A rough estimate of size of the nucleus r is given by the distance of closest approach d of an α - particle incident head-on on a nucleus of charge Z e ; K = 1 2 m v 2 = 2 Z e 2 4 π ε 0 d ≈ 2 Z e 2 4 π ε 0 r [where K = 6 MeV , Z = 10 ] r = 2 × 100 × 1.6 × 10 - 19 × 9 × 10 9 6 × 10 6 × 1.6 × 10 - 19 r = 3 × 1 0 - 14 m

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