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How is impact parameter related to the s...

How is impact parameter related to the scattering angle?

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To understand how the impact parameter is related to the scattering angle, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Impact Parameter**: - The impact parameter (b) is defined as the perpendicular distance from the center of the nucleus to the path of the incoming alpha particle. It is a crucial parameter in scattering experiments. 2. **Alpha Particle Scattering Experiment**: ...
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What is the impact parameter at which the scattering angle is 10^(@) for Z = 79 and initial energy of the alpha -particle is 5MeV ?

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?

Value of Impact parameter will be zero, when scattering angle is

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, the scattering angle for b=0 is

The impact parameter at which the scattering angle is 90^(0) , z=79 and initial energy 10MeV is

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In Rutherford scattering experiment, wha will be the ratio of impact parameter for scattering angles theta_(1)=90^(@) and theta_(2)=120^(@)