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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))) For a given energy of the projectile, does the scattering angle increase or decrease with dec rease in impact parameter ? |
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Answer» Solution :Given relation: `b=(Ze^(2)COT theta//2)/(4PI epsilon_(0)((1)/(2)MV^(2)))` For a given energy `(mv^(2)//2)` of the projectile, the decrease in the VALUE of impact parameter means a decrease in the value of `cot theta//2` and HENCE an increase in the value of scattering angle `theta`. |
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