Concept explainers
(a)
Prove that
(a)
Answer to Problem 58AP
It is proved that
Explanation of Solution
Two fragments must move in opposite direction for the momentum conservation. Write the equation for conservation of momentum.
Here,
Rewrite the above relation in terms of
Write the equation for kinetic energy of mass
Here,
Write the equation for kinetic energy of mass
Here,
Rewrite the above expression by substituting
Rewrite the above equation by substituting
Write the equation for total kinetic energy.
Here,
Conclusion:
Write the equation for the fraction of total kinetic possessed by mass
Rewrite the above expression by substituting
Write the equation for the fraction of total kinetic possessed by mass
Rewrite the above expression by substituting
Therefore, the It is proved that
(b)
The disintegration energy for nuclear fission.
(b)
Answer to Problem 58AP
The disintegration energy for nuclear fission is
Explanation of Solution
Write the equation for disintegration energy.
Here,
Conclusion:
Substitute
Therefore, the disintegration energy for nuclear fission is
(c)
The splitting of disintegration energy between the two primary fragments.
(c)
Answer to Problem 58AP
The splitting of disintegration energy for Br is
Explanation of Solution
Write the equation to find the disintegration energy for Br.
Here,
Write the equation to find the disintegration energy for La.
Conclusion:
Substitute
Substitute
Therefore, the splitting of disintegration energy for Br is
(d)
The speed of fragments just after the fission.
(d)
Answer to Problem 58AP
The speed of Br nuclie and La nuclei are
Explanation of Solution
Write the equation to find the speed of Br nuclie.
Here,
Write the equation to find the speed of La nuclie.
Here,
Here,
Conclusion:
Substitute
Substitute
Therefore, the speed of Br nuclie and La nuclei are
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Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics
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