Given below are two statements :
Statement $I:$ The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total number of nuclei in the sample.
Statement $II:$ The half life of a radionuclide is the sum of the life time of all nuclei, divided by the initial concentration of the nuclei at time $t =0$.
In the light of the above statements, choose the most appropriate answer from the options given below :
Given below are two statements :
Statement $I:$ The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total number of nuclei in the sample.
Statement $II:$ The half life of a radionuclide is the sum of the life time of all nuclei, divided by the initial concentration of the nuclei at time $t =0$.
In the light of the above statements, choose the most appropriate answer from the options given below :
- [NEET 2022]
- A
Both Statement $I$ and Statement $II$ are correct
- B
Both Statement $I$ and Statement $II$ are incorrect
- C
Statement $I$ is correct but Statement $II$ is incorrect
- D
Statement $I$ is incorrect but Statement $II$ is correct
Similar Questions
Write the definition and unit of decay constant.
Write the definition and unit of decay constant.
The half life period of radioactive element ${x}$ is same as the mean life time of another radioactive element $y.$ Initially they have the same number of atoms. Then:
The half life period of radioactive element ${x}$ is same as the mean life time of another radioactive element $y.$ Initially they have the same number of atoms. Then:
- [JEE MAIN 2021]
Certain radio-active substance reduces to $25\%$ of its value in $16$ days. Its half-life is ........ $days$
Certain radio-active substance reduces to $25\%$ of its value in $16$ days. Its half-life is ........ $days$
Define the average life of a radioactive sample and obtain its relation to decay constant and half life.
Define the average life of a radioactive sample and obtain its relation to decay constant and half life.
The mean life of a radioactive material for alpha decay and beta decay are, respectively, $1620$ years and $520$ years. What is the half life of the sample (in years) ?
The mean life of a radioactive material for alpha decay and beta decay are, respectively, $1620$ years and $520$ years. What is the half life of the sample (in years) ?