1.

An alpha -particle of energy 5 MeV is scattered through 180^@ by gold nucleus. The distance of closest approach is of the order of:

Answer»

`10^(-12)cm`
`10^(-16)cm`
`10^(-10)cm`
`10^(-14)cm`

Solution :Distance of closet approach is :
`r_(0)=(1)/(4pi espi_(0)). (2Ze^(2))/(1/2 mu^(2))`
`=(9 xx 10^(9) xx 2 xx 79 xx (1.6 xx 10^(-19))^(2))/(5 xx 1.6 xx 10^(-13))`
`=(9 xx 2 xx 1.6 xx 1.6 xx 10^(-16) xx 79)/(5 xx 1.6)`
`=455 xx 10^(-16)m`
`=4.55 xx 10^(-12)cm`


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