Concept explainers
(a)
Prove that
(a)
Answer to Problem 58P
The relation
Explanation of Solution
Here,
Conclusion:
Thus, the relation
(b)
Prove that
(b)
Answer to Problem 58P
It is proved that
Explanation of Solution
Write the given trial solution.
Differentiate the above equation with respect to t.
For the relation to be valid,
Conclusion:
Thus, it is proved that
(c)
Plot the variations of
(c)
Answer to Problem 58P
Graph is plotted and the nuclei number is maximum at 10.9 minute.
Explanation of Solution
Write the function for
Write the function for
Plot the above two functions.
From the graph, approximate time which nuclei number is maximum is 10.9 minute.
Conclusion:
Thus, the graph is plotted and the nuclei number is maximum at 10.9 minute.
(d)
Obtain the symbolic formula for
(d)
Answer to Problem 58P
Equation is
Explanation of Solution
Write the trial solution given in part (b).
Differentiate the above equation with respect to t.
Apply the condition
Apply ln function on both sides.
Conclusion:
Substitute
The calculated value agrees with result of part (c).
Thus, the equation is
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Chapter 13 Solutions
EBK MODERN PHYSICS
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