Duration: 2:29

5 views

0

Nuclei of a radioactive element \( \mathrm{X} \) are being produced at a constant rate \( K \) and this element decays to a stable nucleus \( \mathrm{Y} \) with a decay constant \( \lambda \) and half-life \( T_{1 / 2} \). At time \( t=0 \), there are \( N_{0} \) nuclei of the element \( \mathrm{X} \).
1. The number \( N_{\mathrm{X}} \) of nuclei of \( \mathrm{X} \) at time \( t=T_{1 / 2} \) is
(1) \( \frac{K+\lambda N_{0}}{2 \lambda} \)
(2) \( \left(2 \lambda N_{0}-K\right) \frac{1}{\lambda} \)
(3) \( \left[\lambda N_{0}+\frac{K}{2}\right] \frac{1}{\lambda} \)
(4) Data insufficient
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live