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which a U^(238) nucleus original at rest...

which a `U^(238)` nucleus original at rest , decay by emitting an alpha particle having a speed `u` , the recoil speed of the residual nucleus is

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`U^(238) to U^(234) +._(2)He^(4) `
According to law of conservation of momentum
`0 = 234 v. +4v`
`- 234 v. = 4v`
`v. = (-4v)/(234)`
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