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How many alpha and beta -particles are e...

How many `alpha and beta` -particles are emitted when `U^(238)` changes to `Pb^(206)` due to radioactivity? Atomic number of `U^(238)` changes to `Pb^(206)` are 92 and 82 respectively.

Text Solution

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Let, x = number of `alpha`-particles emitted
`" "`y = number of `beta`-particles emitted
Decrease in mass number = 4x
Decrease in atomic number = (2x -y)
Here, 4x = 238 - 206 = 32 or, x = 8
And, 2x - y = 92 - 82 = 10
or, y = 2x -10 = 2 `xx` 8 - 10 = 6
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