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How may alpha- and beta- particles will ...

How may `alpha-` and `beta-` particles will be emitted when `._(90)Th^(232)` changes into `._(82)Pb^(208)`?

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The correct Answer is:
`6alpha,4 beta`
`._(0)Th^(232)rarr` `._(82)Pb^(208)+x_(2)He^(4)+y` `._(-1)e^(0)`
`232=208=4x`
`90=82+2x-y`
Solve for `x` and `y`, we get
`x=6, y=4 `
`:. 6 alpha` and `4 beta`.
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