How is impact parameter related to the scattering angle?

What is impact parameter ?

What is the impact parameter at which the scattering angle is 10^(@) for Z = 79 and initial energy of the alpha -particle is 5MeV ?

What is the impact parameter at which the scattering angle is 90^@ of rZ=79 and alpha particle of initial kinetic energy of 10 MeV.

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?

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))) What is the impact parameter at which the scattering angle is 90^(@) for Z = 79 and initial energy equal to 10MeV ?

What is impact parameter?

As the value of impact parameter is larger the scattering angle is ......