1.

An alpha- particle of 10 MeV is moving forward for a head on collision. What will be the distance of closest approach from the nucleus of atomic number Z = 50 ?

Answer»

`1.44xx10^(-14)m`
`2.88xx10^(-14)m`
`0.53xx10^(-10)m`
`(0.53xx10^(-10))/(50)m`

Solution :`1.44xx10^(-14)m`
Potential energy of a-PARTICLE at DISTANCE
d = kinetic energy of a particle at LARGE distance
`(1)/(4piepsi_(0))((Ze)(2e))/(d)=10MeV`
`d=((Ze)(2e))/(4piepsi_(0)xx10xx10^(6)xx1.6xx10^(-19))`
`=(2xx50xx(1.6xx10^(-19))^(2))/(4xx3.14xx8.85xx10^(-12)xx10^(7)xx1.6xx10^(-19))`
`=(100xx1.6xx10^(-19))/(4xx3.14xx8.85xx10^(-5))`
`:.d=1.44xx10^(-14)m`


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