(a)
The fractional error when
(a)
Answer to Problem 26E
The fractional error when
Explanation of Solution
Write the expression for the nonrelativistic approximation for kinetic energy of the particle,
Here,
Write the expression for the relativistic exact kinetic energy of the particle,
Here,
Write the expression for the fractional error,
Here,
Substitute (I) and (II) in (III),
Conclusion:
Substitute
Therefore, the fractional error when
(b)
The fractional error when
(b)
Answer to Problem 26E
The fractional error when
Explanation of Solution
Write the expression for the nonrelativistic approximation for kinetic energy of the particle,
Here,
Write the expression for the relativistic exact kinetic energy of the particle,
Here,
Write the expression for the fractional error,
Here,
Substitute (I) and (II) in (III),
Conclusion:
Substitute
Therefore, the fractional error when
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Chapter 25 Solutions
General Physics, 2nd Edition
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