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Beta Decay

Find whether ...

Question

Find whether $α$ - decay or any of the $β -$ decay are allowed for $_{89}^{226} A c$ . Given masses are:
$M (_{89}^{226} A c) = 226.028356 a m u$
$M (_{87}^{222} F r) = 222.017415 a m u$
$M (_{90}^{226} T h) = 226.017388 a m u$
$M (_{88}^{226} R a) = 226.025406 a m u$
$M (_{2}^{4} H e) = 4.002603 a m u$

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Solution

$M (_{87}^{222} F r) \to α - d e c a y_{87}^{222} F r +_{2} {H e}^{4} \to_{89}^{226} A c M (_{90}^{226} T h) \to β - d e c a y_{90}^{226} T h +_{- 1}^{o} β \to_{89}^{226} A c M (_{88}^{226} R a) \to β - d e c a y_{88}^{226} R a +_{- 1}^{o} β \to_{89}^{226} A c$

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Q. Find whether

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β - d e c a y

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_{89}^{226} A c

Find the Q-value and the kinetic energy of the emitted α-particle in the α-decay of (a) and (b).

Given = 226.02540 u, = 222.01750 u,

= 220.01137 u, = 216.00189 u.

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