The relation between $\lambda $ and $({T_{1/2}})$ is (${T_{1/2}}=$ half life, $\lambda=$ decay constant)
The relation between $\lambda $ and $({T_{1/2}})$ is (${T_{1/2}}=$ half life, $\lambda=$ decay constant)
- [AIPMT 2000]
- A
$\left(\lambda+ T _{1 / 2}\right)=\frac{ln }{2}$
- B
$T _{1 / 2}=\frac{ln2}{\lambda}$
- C
$T _{1 / 2}\; ln 2=\lambda$
- D
$T _{1 / 2}=\frac{1}{\lambda}$
Similar Questions
The half life of radioactive Radon is $3.8\, days$. The time at the end of which $1/20^{th}$ of the Radon sample will remain undecayed is ............ $days$ (Given $log_{10}e = 0.4343$ )
The half life of radioactive Radon is $3.8\, days$. The time at the end of which $1/20^{th}$ of the Radon sample will remain undecayed is ............ $days$ (Given $log_{10}e = 0.4343$ )
The activity of a radioactive sample
The activity of a radioactive sample
Match List $I$ (Wavelength range of electromagnetic spectrum) with List $II$ (Method of production of these waves) and select the correct option from the options given below the lists
List $I$
List $II$
$(1)$ $700\, nm$ to $1\,mm$
$(i)$ Vibration of atoms and molecules
$(2)$ $1\,nm$ to $400\, nm$
$(ii)$ Inner shell electrons in atoms moving from one energy level to a lower level
$(3)$ $ < 10^{-3}\,nm$
$(iii)$ Radioactive decay of the nucleus
$(4)$ $1\,mm$ to $0.1\,m$
$(iv)$ Magnetron valve
Match List $I$ (Wavelength range of electromagnetic spectrum) with List $II$ (Method of production of these waves) and select the correct option from the options given below the lists
| List $I$ | List $II$ |
| $(1)$ $700\, nm$ to $1\,mm$ | $(i)$ Vibration of atoms and molecules |
| $(2)$ $1\,nm$ to $400\, nm$ | $(ii)$ Inner shell electrons in atoms moving from one energy level to a lower level |
| $(3)$ $ < 10^{-3}\,nm$ | $(iii)$ Radioactive decay of the nucleus |
| $(4)$ $1\,mm$ to $0.1\,m$ | $(iv)$ Magnetron valve |
- [JEE MAIN 2014]
The $S.I.$ unit of radioactivity is
The $S.I.$ unit of radioactivity is
If half life of a radioactive element is $3\, hours$, after $9\, hours$ its activity becomes
If half life of a radioactive element is $3\, hours$, after $9\, hours$ its activity becomes