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The number of alpha and beta emitted in ...

The number of `alpha and beta` emitted in the nuclear reaction `""_(92)^(238)U to ""_(82)^(214)Pb` is

A

`8 beta`

B

`6 alpha`

C

`2 beta`

D

`5 alpha`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Let x `alpha- and y beta`- particle be emitted in the reaction.
`""_(92)^(238)U to x ""_(2)^(4)alpha + y ""_(-1)^(0)beta + ""_(82)^(214)Pb`
Equating the mass numbers on both sides,
`238 = 4x + y xx 0 + 214 implies 4x = 24 :. x = 6`
Equating atomic numbers on both sides,
`92 = 2x + (-y) + 82`
`92 = 2 xx 6 + (-y) + 82 implies - y = - 2 :. y = 2`
Hence in the nuclear reaction, `""_(92)^(238)U to ""_(82)^(214)Pb, 6 alpha`- and `2 beta` - particles are emitted.
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