A radioactive sample mathrm{S} 1 having an activity 5 μ mathrm{Ci} has twice number of nuclei as an

English

Gujarati

Hindi

13.Nuclei

hard

A radioactive sample $\mathrm{S} 1$ having an activity $5 \mu \mathrm{Ci}$ has twice the number of nuclei as another sample $\mathrm{S} 2$ which has an activity of $10 \mu \mathrm{Ci}$. The half lives of $\mathrm{S} 1$ and $\mathrm{S} 2$ can be

A

$20$ years and $5$ years, respectively

B

$20$ years and $10$ years, respectively

C

$10$ years each

D

$5$ years each

(IIT-2008)

Solution

$5 \mu \mathrm{Ci}_{\mathrm{i}}=\frac{\ln 2}{\mathrm{~T}_1}\left(2 \mathrm{~N}_0\right) $

$ 10 \mu \mathrm{Ci}=\frac{\ln 2}{\mathrm{~T}_2}\left(\mathrm{~N}_0\right)$

Dividing we get $\mathrm{T}_1=4 \mathrm{~T}_2$

Standard 12

Physics

Share

Similar Questions

The decay constant of a radio isotope is $\lambda$. If $A_1$ and $A_2$ are its activities at times $t_1$ and $t_2$ respectively, the number of nuclei which have decayed during the time $(t_1 – t_2)$

easy

(AIPMT-2010)

Radioactive nuclei that are injected into a patient collect at certain sites within its body, undergoing radioactive decay and emitting electromagnetic radiation. These radiations can then be recorded by a detector. This procedure provides an important diagnostic tool called

easy

(AIIMS-2003)

A sample originally contaived $10^{20}$ radioactive atoms, which emit $\alpha -$ particles. The ratio of $\alpha -$ particles emitted in the third year to that emitted during the second year is $0.3.$ How many $\alpha -$ particles were emitted in the first year?

medium

(AIEEE-2012)

The half life of polonium is $140\, days$. After how many days, $16 \,gm$ polonium will be reduced to $1 \,gm$ ………$days$(or $15\,g$ will decay)

medium

Half life of radioactive element is $12.5\; Hour$ and its quantity is $256\; gm$. After how much time (in $Hours$) its quantity will remain $1 \;gm$

medium

(AIPMT-2001)