# HW3-sol - Chapter 3 Homework Solutions 1(book#3 2(book#4 3...

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Chapter 3 Homework Solutions 1. (book #3) 2. (book #4) 3. a) 1 keV is small compared to proton rest energy of ~1 GeV so non- relativistic is fine. b) 1 GeV is not small compared to proton rest energy of ~1 GeV so relativistic approach is needed. 2 6 6 12 2 2 1.24 10 2(9.38 10 )(1000) 9.1 10 h h hc p mKE mc KE eV m m λ = = = ×⋅ = × = × 2 22 () ( ) (1 .938) (.938) 1.7 pc E mc KE mc mc pc GeV = =+− = +− = 6 9 16 1.24 10 1.7 10 7.3 10 h hc p pc eV m eV m = = = × = ×

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4. (book #9) 5. (book #16) 6. 7. a) E n =n 2 E 1 E 2 =4E 1 =8 eV E 3 =9E 1 =18 eV b) n 2 =30/2=15 and there is no integer solution so 30 eV is not an allowed energy c) n 2 =32/2=16 so n=4; yes 22 2 2 2 1/2 2 2 2 2 50 511 1.1 511 (1 ) 1 1/ 1 1/1.1 0.42 / 2.4 g pg E mc KE mc KE mc mc v c vc cv v cv c γ = = + ++ = = = = = = −= = = =
d) Solve Eq. 3.18 e) mass of electron, positively charged, implies positron
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HW3-sol - Chapter 3 Homework Solutions 1(book#3 2(book#4 3...

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