$N$ atoms of a radioactive element emit $n$ alpha particles per second. The half life of the element is
$N$ atoms of a radioactive element emit $n$ alpha particles per second. The half life of the element is
- A
$\frac{n}{N} \,sec$
- B
$\frac{N}{n}\,sec$
- C
$\frac{{0.693\;N}}{n}\,sec$
- D
$\frac{{0.693\;n}}{N}\,sec$
Similar Questions
Activity of a radioactive substance can be represented by various unit. Select correct option
Activity of a radioactive substance can be represented by various unit. Select correct option
The half-life of a radioactive substance is $3.6$ days. How much of $20\, mg$ of this radioactive substance will remain after $36$ days ............. $mg$
The half-life of a radioactive substance is $3.6$ days. How much of $20\, mg$ of this radioactive substance will remain after $36$ days ............. $mg$
At any instant, two elements $X _1$ and $X _2$ have same number of radioactive atoms. If the decay constant of $X _1$ and $X _2$ are $10 \lambda$ and $\lambda$ respectively. then the time when the ratio of their atoms becomes $\frac{1}{e}$ respectively will be
At any instant, two elements $X _1$ and $X _2$ have same number of radioactive atoms. If the decay constant of $X _1$ and $X _2$ are $10 \lambda$ and $\lambda$ respectively. then the time when the ratio of their atoms becomes $\frac{1}{e}$ respectively will be
- [NEET 2022]
Assertion : If the half life of a radioactive substance is $40\, days$ then $25\%$ substance decay in $20\, days$
Reason : $N = {N_0}\,{\left( {\frac{1}{2}} \right)^n}$
where, $n = \frac{{{\rm{time\, elapsed}}}}{{{\rm{half \,life \,period}}}}$
Assertion : If the half life of a radioactive substance is $40\, days$ then $25\%$ substance decay in $20\, days$
Reason : $N = {N_0}\,{\left( {\frac{1}{2}} \right)^n}$
where, $n = \frac{{{\rm{time\, elapsed}}}}{{{\rm{half \,life \,period}}}}$
- [AIIMS 1998]
Give the equation form of exponential law.
Give the equation form of exponential law.