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For scattering by an .inverse square. field (such as that produced by a charged nucleus in Rutherford.s model), the relation between impact parameter b and the scattering angle theta is given by, b=(Ze^(2)cot theta//2)/(4pi epsilon_(0)((1)/(2)mv^(2))) Why is it that the mass of the nucleus does not enter the formula above but its charge does ? |
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Answer» Solution :Given relation: `b=(Ze^(2)cot theta//2)/(4pi epsilon_(0)((1)/(2)mv^(2)))` The scattering of `alpha`-particles takes PLACE due to charge on the nucleus. If Z = 0, `theta=0^(@)` (from the given formula) Mass of nucleus does not APPEAR in the expression for b because the RECOIL of the nucleus is being ignored i.e., the nucleus is assumed to be at rest during its interaction with the `alpha`-particle. |
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