A freshly prepared radioactive element has a | vedclass

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

Question

(D) The radioactive decay follows first-order kinetics.The intensity of radiation is proportional to the amount of the radioactive substance present.L

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(D) The radioactive decay follows first-order kinetics.The intensity of radiation is proportional to the amount of the radioactive substance present.Let the initial intensity be $I_0 = 64 	imes I_{safe}$ and the final intensity be $I = I_{safe}$.Using the relation $I = I_0 	imes (1/2)^n$,where $n$ is the number of half-lives:$I_{safe} = 64 	imes I_{safe} 	imes (1/2)^n$$1/64 = (1/2)^n$$(1/2)^6 = (1/2)^n$So,$n = 6$.The total time $t$ is given by $t = n 	imes t_{1/2}$.Given $t_{1/2} = 2 \ hr$,we have $t = 6 	imes 2 = 12 \ hr$.

$A$ freshly prepared radioactive element has a half-life of $2 \ hr$. It emits radiation whose intensity is $64$ times the permissible safe level. The minimum time after which it would be possible to work with this sample is .......... $hr$.

Similar Questions

$t_{1/2}$ of $^{232}Th$ is $1.39 \times 10^{10} \ \text{years}$. Calculate the number of $\alpha$-particles emitted by $1.0 \ \text{g}$ of $^{232}Th$ per second.

The half-life of radium is $1580 \ yrs$. Its average life will be:

If $2.0 \ g$ of a radioactive isotope has a half-life of $20 \ hr$,the half-life of $0.5 \ g$ of the same substance is ........ $hr$.

$A$ radioactive element has a half-life of $20 \ \text{minutes}$. How much time should elapse before the element is reduced to $\frac{1}{8}$th of the original mass? (Answer in $\text{minutes}$)

$A$ radioactive substance has a half-life $(t_{1/2})$ of $60 \ minutes$. After $3 \ hours$,what percentage of the radioactive substance will remain?

Vedclass Test Series

Exam Paper Generator

Online Exam Module