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Question

If 92U238 changes to 85At210 by a series of α and β decays. The number of α and β decays undergone is


A

7 and 5

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B

7 and 7

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C

5 and 7

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D

7 and 9

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Solution

The correct option is B

7 and 7


Let number of α-decays are x and number of β-decays are y. Then
92-2x-y=85
Or 2x-y=7
and 238 - 4x =210
x=7
Substituting this value in Eq.(1). We get

y=7


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