A stationary thorium nucleus (A = 220, z...

A stationary thorium nucleus (A = 220, z=90) emits an alpha particle with kinetic energy `E_(alpha)`. What is the kinetic energy of the recoiling nucleus?

`(E_(alpha))/108`

`E_(alpha)/110`

`E_(alpha)/54`

None of these

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The correct Answer is:

`""_(90)Th^(220) to ""_(2)He^(4) + ""_(ss)Ra^(216)`
`m_(alpha)v_(alpha) = m_(R)v_(R)`
`v_(R)/v_(alpha) = 1/54`

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