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Calculate the impact parameter of 5.0 Me...

Calculate the impact parameter of 5.0 MeV `alpha`-particle scattered by `10^(@)` when it approaches a gold nuclcus (Z = 79).

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To calculate the impact parameter \( b \) of a 5.0 MeV alpha particle scattered by 10 degrees when it approaches a gold nucleus (Z = 79), we can use the formula: \[ b = \frac{Z e^2 \cot(\theta/2)}{4 \pi \epsilon_0 \cdot \frac{1}{2} mv^2} \] ### Step 1: Identify the given values - Energy of the alpha particle, \( E = 5.0 \, \text{MeV} \) ...
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Calculate the impact parameter of a 5 MeV particle scattered by 90^(@) when it approaches a gold nucleus.

Distance of closest approach when a 5.0MeV proton approaches a gold nucleus is (Z=79)

Knowledge Check

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

    A
    1.137*10^-14
    B
    1.137*10^-16
    C
    2.24*10^-17
    D
    zero

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