At time t=0 some radioactive gas is injected into a sealed vessel. At time T some more of gas is inj

English

Gujarati

Hindi

13.Nuclei

medium

At time $t=0$ some radioactive gas is injected into a sealed vessel. At time $T$ some more of the gas is injected into the vessel. Which one of the following graphs best represents the logarithm of the activity $A$ of the gas with time $t$ ?

A

B

C

D

Solution

(c)

$A=A_0 e^{-\lambda t}$

$\ln A=\ln A_0-\lambda t$

$\therefore$ Answer is $(c)$ as it is a linear relation between $\ln A$ and $t$.

Standard 12

Physics

Share

Similar Questions

Half lives of two radioactive nuclei $A$ and $B$ are $10\, minutes$ and $20\, minutes$, respectively. If, initially a sample has equal number of nuclei, then after $60$ $minutes$ , the ratio of decayed numbers of nuclei $A$ and $B$ will be

hard

(JEE MAIN-2019)

At some instant, a radioactive sample $S_1$ having an activity $5\,\mu Ci$ has twice the number of nuclei as another sample $S_2$ which has an activity of $10\,\mu Ci.$ The halflives of $S_1$ and $S_2$ are

hard

(JEE MAIN-2018)

A radioactive material has a half life of $10$ days. What fraction of the material would remain after $30$ days

medium

(AIIMS-2005)

The activity of a radioactive material is $6.4 \times 10^{-4}$ curie. Its half life is $5\; days$. The activity will become $5 \times 10^{-6}$ curie after $…….day$

medium

(JEE MAIN-2022)

Obtain the amount of $_{27}^{60} Co$ necessary to provide a radioactive source of $8.0\; mCi$ strength. The half-life of $^{60}_{27} Co$ is $5.3$ years.

medium