If one starts with 1 , text{curie} of a radio | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The half-life of the substance is $T_{1/2} = 12 \, 	ext{hrs}$.The total time elapsed is $t = 1 \, 	ext{week} = 7 \, 	ext{days} = 7 	imes 24 \,

Vedclass · Accepted Answer

$60 \, \mu	ext{Ci}$

Vedclass · Answer

(C) The half-life of the substance is $T_{1/2} = 12 \, 	ext{hrs}$.The total time elapsed is $t = 1 \, 	ext{week} = 7 \, 	ext{days} = 7 	imes 24 \, 	ext{hrs} = 168 \, 	ext{hrs}$.The number of half-lives $n$ is given by $n = \frac{t}{T_{1/2}} = \frac{168}{12} = 14$.The activity $A$ after $n$ half-lives is given by $A = A_0 \left( \frac{1}{2} ight)^n$, where $A_0 = 1 \, 	ext{curie}$.$A = 1 	imes \left( \frac{1}{2} ight)^{14} \, 	ext{curie} = \frac{1}{16384} \, 	ext{curie}$.Calculating the value: $A \approx 0.000061 \, 	ext{curie} = 61 	imes 10^{-6} \, 	ext{curie} = 61 \, \mu	ext{Ci}$.Thus, the activity left is approximately $60 \, \mu	ext{Ci}$.

If one starts with $1 \, \text{curie}$ of a radioactive substance $(T_{1/2} = 12 \, \text{hrs})$, the activity left after a period of $1 \, \text{week}$ will be about:

Similar Questions

The activity of a radioactive substance is $R_1$ at time $t_1$ and $R_2$ at a later time $t_2$. Its decay constant is $\lambda$. Which of the following relations is correct?

Plutonium decays with a half-life of $24000 \, \text{years}$. If the plutonium is stored for $72000 \, \text{years}$, then the fraction of plutonium that remains is

The number of nuclei of a radioactive substance is $1000$ and $900$ at times $t = 0$ and $t = 2 \ s$,respectively. Then,the number of nuclei at time $t = 4 \ s$ will be:

The half-life of polonium is $140 \, days$. After how many days will $16 \, g$ of polonium be reduced to $1 \, g$ (or $15 \, g$ will decay)?

The activity of a sample is $64 \times 10^{-5} \, Ci$. Its half-life is $3 \, days$. The activity will become $5 \times 10^{-6} \, Ci$ after ......... $days$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module