In a radioactive decay,a uranium atom transfo | vedclass

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

Question

(C) Radioactive decay follows first-order kinetics. Let $N_0$ be the initial number of uranium atoms. At time $t$,the number of uranium atoms remainin

Vedclass · Accepted Answer

$4.5 	imes 10^9$ years

Vedclass · Answer

(C) Radioactive decay follows first-order kinetics. Let $N_0$ be the initial number of uranium atoms. At time $t$,the number of uranium atoms remaining is $N_t$ and the number of lead atoms formed is $N_0 - N_t$. Given that the number of uranium atoms equals the number of lead atoms,$N_t = N_0 - N_t$,which implies $N_t = N_0 / 2$. This means the time elapsed is equal to one half-life period $(t_{1/2})$. Therefore,the age of the rock $t = t_{1/2} = 4.5 	imes 10^9$ years.

In a radioactive decay,a uranium atom transforms into a lead atom. If a rock sample from the moon contains an equal number of uranium and lead atoms,and the half-life $(t_{1/2})$ for uranium is $4.5 \times 10^9$ years,then the age of the rock will be:

Similar Questions

The half-life of a radioactive element is $6 \ months$. The time taken to reduce its original concentration to its $1/16$ value is ....... $years$.

The ratio of $\frac{{}^{14}C}{{}^{12}C}$ in a piece of wood is $\frac{1}{8}$ part that of the atmosphere. If the half-life of ${}^{14}C$ is $5730 \text{ years}$,the age of the wood sample is $.....$ years.

Given that a radioactive species decays according to the exponential law $N = N_0 e^{-\lambda t}$,the half-life of the species is:

If $n_t$ number of radioatoms are present at time $t$, the following expression will be a constant:

$A$ radioactive isotope has a half-life of $10 \ days$. If today $125 \ mg$ is left over,what was its original weight $40 \ days$ earlier?

Vedclass Test Series

Exam Paper Generator

Online Exam Module