for given impact parameter b, does the angle of deflection increase or decrease with increase in energy?
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form `b=1/(4pi in_0) (Ze^2 cot theta//2)/E` for given value of b, when E is increased, `cot.(theta)/(2)` increases, `tan.(theta)/(2)` decreases, `theta` decreases.
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for scattering by an inverse square law 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 in_0(1/2mv^2)) (a) What is the scattering angle for b=0? (b) for given impact parameter, b, does the angle of deflection increase or decrease with increase in energy? (c) What is the impact parameter at which the scattering angle is 90^@ for Z=79 and initial energy=10MeV? (d) Why is it that the mass of the nucleus does not enter the formula above, but its charge does? (e) for a given energy of the projectile, does the scattering angle increase or decrease with decrease in impact parameter?
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