Test Index

NCERT Class XII Chapter
Nuclei
Questions With Solutions

© examsnet.com
Question : 10 of 31
Marks: +1, -0
The half-life of 3890Sr\,\mathrm{^{90}_{38}Sr} is 28 years. What is the disintegration rate of 15 mg of this isotope?
Solution:  
Given, T1/2 = 28 years = 28 × 3.154 × 10710^7 s
Mass, m = 15 mg = 0.015 g
Number of atoms in 0.015 g sample of 3890Sr\,\mathrm{^{90}_{38}Sr} ,
N = mM\frac{m}{M} × ×Avogadro's number = 0.015×0.023×1023 atoms90\frac{0.015 \times 0.023 \times 10^{23} \text{ atoms}}{90}
Activity of the sample,
R = λN = 0.693T1/2\frac{0.693}{T_{1/2}} N = 0.693×0.015×6.023×102328×3.154×107×90\frac{0.693 \times 0.015 \times 6.023 \times 10^{23}}{28 \times 3.154 \times 10^7 \times 90}
= 7.877 × 101010^{10} disintegration/sec = 7.877 × 101010^{10} Bq
= 7.877×10103.7×1010\frac{7.877 \times 10^{10}}{3.7 \times 10^{10}} Ci = 2.13 Ci
© examsnet.com
Go to Question: