Concept explainers
(a)
Prove that the nonrelativistic particles obey the relation
(a)
Answer to Problem 9P
Equation
Explanation of Solution
Consider the CM frame. Draw the diagram showing direction of
Write the equation for kinetic energy of system in CM frame.
Here,
Consider the reaction in lab frame. Draw the diagram showing direction of
Consider the equation for momentum in lab frame.
Write the equation for momentum in lab frame.
Rewrite the above equation by substituting
Divide equation (II) by equation (I).
Write the expression for minimum kinetic energy from the calculation.
Conclusion:
Thus, the equation
(b)
Obtain the threshold energy for the alpha particle for the given reaction.
(b)
Answer to Problem 9P
Minimum energy required will be
Explanation of Solution
Write the equation to find the Q value.
Here,
Rewrite equation (III) by replacing
Conclusion:
Substitute
Substitute
Thus, the minimum energy required will be
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Chapter 14 Solutions
Modern Physics
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