150

You visited us 150 times! Enjoying our articles? Unlock Full Access!

Law of Radioactivity

A radioactive...

Question

A radioactive sample decays by two different processes. Half-life of first process is $t_{1}$ , and for second process is $t_{2}$ . Then, the effective half-life is

t_{1} - t_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

t_{1} + t_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{t_{1} t_{2}}{t_{1} + t_{2}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{t_{1}^{2} t_{2}^{2}}{t_{1} - t_{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\frac{t_{1} t_{2}}{t_{1} + t_{2}}$
Given, $λ = λ_{1} + λ_{2}$
$\frac{1}{t} = \frac{1}{t_{1}} + \frac{1}{t_{2}} = \frac{t_{2} + t_{1}}{t_{1} t_{2}}$
$\Rightarrow t = \frac{t_{1} t_{2}}{t_{1} + t_{2}}$

Suggest Corrections

Similar questions

t_{1}

t_{2}

t

T_{1}

T_{2}

T

N_{1}

t_{1}

N_{2}

t_{2}

T .

t_{1}

t_{2}

(t_{1} < t_{2})

R_{1}

R_{2}

t_{2} - t_{1}

t_{1}

t_{2}

Join BYJU'S Learning Program