Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 42 - Nuclear Physics - Problems - Page 1307: 80b

Answer

$R = 4.035 \times 10^{7} /h$ In $2020$, in every one hour, $ 4.035 \times 10^{7} $ electrons will intercept.

Work Step by Step

Let D indicate the current year (2020, 2021 and so forth), $R = R_0 e^{ - t ln 2/T_{1/2}}$ $R = (7.0 \times 10^7 /h) e^{ - (D - 1996) ln 2/30.2 y} $ Today it's 2020, so $R = (7.0 \times 10^7 /h) e^{ - (2020 - 1996) ln 2/30.2 y} $ No need to change unit in the exponential because the units will be canceled out, magnitude is what's left. $R = (7.0 \times 10^7 /h)e^{ - (24 y) ln 2/30.2 y} $ $R = (7.0 \times 10^7 /h) e^{ -0.5508454415} $ $R = 4.035 \times 10^{7} /h$ In $2020$, in every one hour, $ 4.035 \times 10^{7} $ electrons will intercept.
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