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A certain radioactive material .(Z)^(A)X...

A certain radioactive material `._(Z)^(A)X` starts emitting `alpha` and `beta` particles successively such that the end product is `._(Z - 3)^(A - 8)Y`, The number of `alpha` and `beta` particles emitted are:

A

4 and 3 respectively

B

2 and 1 respectively

C

3 and 4 respectively

D

3 and 8 respectively

Text Solution

Verified by Experts

The correct Answer is:
b
`._(Z)^(A)X to ._(Z - 3)^(A - 8)Y`
Number of `alpha`-particles = `("Change in mass number")/(4) = (8)/(4) = 2`
Z - 2 `xx` Number of `alpha`-particles + Number of `beta`-particles = Z - 3
`Z - 2 xx 2` + Number of `beta`-particles = Z - 3
Number of `beta`-particles = 1
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