Write down the definition and formula of half life of radioactive substance.
Write down the definition and formula of half life of radioactive substance.
Similar Questions
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]
Match the nuclear processes given in column $I$ with the appropriate option$(s)$ in column $II$
column $I$
column $II$
$(A.)$Nuclear fusion
$(P.)$ Absorption of thermal neutrons by ${ }_{92}^{213} U$
$(B.)$Fission in a nuclear reactor
$(Q.)$ ${ }_{27}^{60} Co$ nucleus
$(C.)$ $\beta$-decay
$(R.)$ Energy production in stars via hydrogen conversion to helium
$(D.)$ $\gamma$-ray emission
$(S.)$ Heavy water
$(T.)$ Neutrino emission
Match the nuclear processes given in column $I$ with the appropriate option$(s)$ in column $II$
| column $I$ | column $II$ |
| $(A.)$Nuclear fusion | $(P.)$ Absorption of thermal neutrons by ${ }_{92}^{213} U$ |
| $(B.)$Fission in a nuclear reactor | $(Q.)$ ${ }_{27}^{60} Co$ nucleus |
| $(C.)$ $\beta$-decay | $(R.)$ Energy production in stars via hydrogen conversion to helium |
| $(D.)$ $\gamma$-ray emission | $(S.)$ Heavy water |
| $(T.)$ Neutrino emission |
- [IIT 2015]
The mean lives of a radioactive sample are $30$ years and $60$ years for $\alpha$-emission and $\beta $ -emission respectively. If the sample decays both by $\alpha$- emission and $\beta $-emission simultaneously, the time after which, only one-fourth of the sample remain is :- ........... $years$
The mean lives of a radioactive sample are $30$ years and $60$ years for $\alpha$-emission and $\beta $ -emission respectively. If the sample decays both by $\alpha$- emission and $\beta $-emission simultaneously, the time after which, only one-fourth of the sample remain is :- ........... $years$
Age of a tree is determined using radio-isotope of
Age of a tree is determined using radio-isotope of
For a radioactive material, half-life is $10$ minutes. If initially there are $600$ number of nuclei, the time taken (in minutes) for the disintegration of $450$ nuclei is
For a radioactive material, half-life is $10$ minutes. If initially there are $600$ number of nuclei, the time taken (in minutes) for the disintegration of $450$ nuclei is
- [NEET 2018]