The impact parameter is defined as the perpendicular distance between the centre of the gold nucleus and the direction of velocity vector of alpha particle when it is at a large distance.
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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))/(4 pi epsi_0 ((mv^2)/(2))) a. What is the scattering angle for b =0? b. For a given impact parameter h, does the angle of deflection increase or decrease with increasing energy? c .What is the impact parameter at which the scattering angle is 90^@ for Z = 79 and initial energy of 10 MeV? d. Why is it that the mass of the nucleus does not enter the formula above but the charge does? e. For a given energy of the projectile, does the scattering angle increase or decrease with decrease in impact parameter?
a. What is impact parameter ? b. How is it related to scattering angle ?
Knowledge Check
In Rutherford scattering experiment, what will be the correct angle for alpha -scattering for an impact parameter, b=0 ?
A
90°
B
270°
C
0°
D
180°
If an alpha - particle collides head on with a nucleus, what is impact parameter?
A
zero
B
infinite
C
`10^(-10)`m
D
`10^(10)`m
If an alpha particle collides head of with a nucleus , what is impact parameter ?
A
zero
B
infinite
C
`10^(-10) m`
D
`10^(10) m`
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Calculate the impact parameter of a 5 MeV particle scattered by 90^(@) when it approaches a gold nucleus.
Why is it that mass of the nucleus does not enter the formula for impact parameter, but in charge does?
Find the orthogonal trajectory of y^2=4a x (a being the parameter).
Match the following for the equation x^(2)+a|x|+1=0 where, a is a parameter.
Select the odd man out from the following parameters.
