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Calculate the impact parameter of a 5 Me...

Calculate the impact parameter of a 5 MeV particle scattered by `90^(@)` when it approaches a gold nucleus.

Text Solution

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KE = 5 MeV = `5 xx 10^(6) xx 1.6 xx 10^(-19)`J
`theta = 90^(@)`
For gold, Z = 79
Impact parameter, b = `Kze^(2) cot((theta)/(2))/(KE)`
` b = (9 xx 10^(9) xx 79 xx (1.6 xx 10^(-19))^(2) xx cot 45^(@))/(5 xx 1.6 xx 10^(-13))`
` = 2.27 xx 10^(-14) m , b = 2.3 xx 10^(-14)m`
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