A particle material can decay in two ways emitting $α a n d b e t a$ particles. Half lives for $α a n d b e t a$ decay separately $T_{1}$ and $T_{2}$ respectively. If the material decays for $α a n d b e t a$ simultaneously, then half life of the material is:

T_{1}

T_{2}

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T_{1}

T_{2}

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\frac{T_{1} + T_{2}}{T_{1} - T_{2}}

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\frac{T_{1} T_{2}}{T_{1} + T_{2}}

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Solution

The correct option is B $T_{1}$ - $T_{2}$
A particle material can decay in two ways emitting $α$ and $β$ particle.
Half lives for $α$ and $β$ decay separately $T_{1}$ and $T_{2}$ respectively.
Now, is the material decays for $α$ and $β$ simultaneously, then half of the material will be:
$= T_{1} - T_{2}$ .
$(T_{1} > T_{2})$

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