MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Law of Radioactivity

The activity ...

Question

The activity of a sample of a radioactive material is $A_{1}$ at time $t_{1}$ and $A_{2}$ at time $t_{2} (t_{2} > t_{1})$ . If its mean is life T, then

A

A_{1} t_{1} = A_{2} t_{2}

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

B

A_{1} - A_{2} = t_{2} - t_{1}

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

C

A_{2} = A_{1} e^{\frac{(t_{1} - t_{2})}{T}}

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

D

A_{2} = A_{1} e^{\frac{(t_{1} - t_{2})}{T}}

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

Open in App

Solution

The correct option is C $A_{2} = A_{1} e^{\frac{(t_{1} - t_{2})}{T}}$
We know that actvity of a radioactive material is written as
$A = A_{0} e^{\frac{- t}{τ}}$

So for the given conditions in question,
$A_{1} = A_{0} e^{\frac{- t_{1}}{T}}$
$A_{2} = A_{0} e^{\frac{- t_{2}}{T}}$

Now,
$\frac{A_{2}}{A_{1}} = \frac{A_{0} e^{\frac{- t_{2}}{T}}}{A_{0} e^{\frac{- t_{1}}{T}}}$
$∴ A_{2} = A_{1} e^{\frac{t_{1} - t_{2}}{T}}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The activity of a sample of radioactive element is

A_{1}

t_{1}

A_{2}

t_{2} (t_{2} > t_{1})

. The mean life of sample is

T,

Q. The activity of sample of radioactive materials is

A_{1}

t_{1}

A_{2}

t_{2} (t_{2} > t_{1})

. It's mean life is

T

Q. The activity of a sample of radioactive material is

R_{1}

t_{1}

R_{2}

t_{2} (t_{2} > t_{1})

. Its mean life is T. Then

Q. The activity of a sample of a redioactive material is

A_{1}

t_{1} a n d A_{2}

t_{2} (t_{2} > t_{1})

. if its mean life is T, then

Q. The activity of a sample of a radio active material is

A_{1}

t_{1}

A_{2}

t_{2}

t_{2} > t_{1}

). If its mean life is

T_{1}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Law of Radioactivity

PHYSICS

Watch in App

explore_more_icon

Explore more

Law of Radioactivity

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon