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College Physics for AP® Courses

Chapter 33

College Physics for AP® CoursesChapter 33

Problems & Exercises

1.

3 × 10 39 s 3 × 10 39 s size 12{3 times "10" rSup { size 8{ - "39"} } `s} {}

3.

1 . 99 × 10 16 m ( 0 . 2 fm ) 1 . 99 × 10 16 m ( 0 . 2 fm ) size 12{1 "." "99" times "10" rSup { size 8{ - "16"} } `m` \( 0 "." 2`"fm" \) } {}

4.

(a) 10111011 size 12{"10" rSup { size 8{ - "11"} } } {} to 1, weak to EM

(b) 1 to 1

6.

(a) 2.09×105s2.09×105s size 12{2 "." "09" times "10" rSup { size 8{ - 5} } `s} {}

(b) 4.77×104Hz4.77×104Hz size 12{4 "." "77" times "10" rSup { size 8{4} } `"Hz"} {}

8.

78.0 cm

10.

1 . 40 × 10 6 1 . 40 × 10 6 size 12{1 "." "40" times "10" rSup { size 8{6} } } {}

12.

100 GeV

13.

67.5 MeV

15.

(a) 1×10141×1014 size 12{1 times "10" rSup { size 8{"14"} } } {}

(b) 2×10172×1017 size 12{1 times "10" rSup { size 8{"17"} } } {}

17.

(a) 1671 MeV 1671 MeV

(b) Q = 1, Q = 1 + 0 + 0 = 1. L τ = 1; Lτ = 1; Lμ = 0; Lμ = 1 + 1 = 0 Q = 1, Q = 1 + 0 + 0 = 1. L τ = 1; Lτ = 1; Lμ = 0; Lμ = 1 + 1 = 0

(c) τ μ + v μ + v ¯ τ μ   antiparticle of  μ + v μ   of  v ¯ μ v ¯ τ   of  v τ τ μ + v μ + v ¯ τ μ   antiparticle of  μ + v μ   of  v ¯ μ v ¯ τ   of  v τ alignl { stack { size 12{ \( a \) " 1671"`"MeV"} {} # size 12{ \( b \) " "Q=1,~Q'= - 1+0+0=1 "." ~L rSub { size 8{τ} } = - 1;} {} # L rSub { size 8{μ} } rSup { size 8{'} } +L rSub { size 8{v rSub { size 6{μ} } } } +L rSub { {overline {v}} rSub { size 6{τ} } } size 12{ {}= - 1 - 1+1= - 1} {} # \( c \) τ rSup {-{}} size 12{ rightarrow μ rSup { - {}} } size 12{+v rSub {μ} } size 12{+ {overline {v}} rSub {τ} } {} # size 12{ drarrow μ rSup { - {}} size 12{`"antiparticle"`"of"`μ rSup {+{}} } size 12{;`v rSub {μ} } size 12{`"of"` {overline {v}} rSub {μ} } size 12{;` {overline {v}} rSub {τ} } size 12{`"of"`v rSub {τ} }} {} } } {}

19.

(a) 3.9 eV

(b) 2.9×1082.9×108 size 12{2 "." 9 times "10" rSup { size 8{ - 8} } } {}

21.

(a) The uuduud size 12{ ital "uud"} {} composition is the same as for a proton.

(b) 3.3×1024s3.3×1024s size 12{3 "." 3 times "10" rSup { size 8{ - "24"} } `s} {}

(c) Strong (short lifetime)

23.

a) Δ++(uuu);B=13+13+13=1Δ++(uuu);B=13+13+13=1 size 12{Δ rSup { size 8{"++"} } \( ital "uuu" \) ; B= { {1} over {3} } + { {1} over {3} } + { {1} over {3} } = {underline {1}} } {}

b)

Figure 33.27
25.

(a) +1+1 size 12{+1} {}

(b) B=1=1+0,  Z==0+(1)B=1=1+0,  Z==0+(1) size 12{B=1=1+0,`Z= - 1=0+ \( - 1 \) } {}, all lepton numbers are 0 before and after

(c) (sss)(uds)+u-s(sss)(uds)+u-s size 12{ \( ital "sss" \) rightarrow \( ital "uds" \) + left ( { bar {u}}s right )} {}

27.

(a) (uu-+dd¯)(uu-+dd¯)+(uu-+dd¯)(uu-+dd¯)(uu-+dd¯)+(uu-+dd¯) size 12{ \( u { bar {u}}+d {overline {d}} \) rightarrow \( u { bar {u}}+d {overline {d}} \) + \( u { bar {u}}+d {overline {d}} \) } {}

(b) 277.9 MeV

(c) 547.9 MeV

29.

No. Charge=1Charge=1 size 12{"Charge"= - 1} {} is conserved. Lei=0Lef=2Lei=0Lef=2 size 12{L rSub { size 8{e rSub { size 6{i} } } } =0 <> L rSub {e rSub { size 6{f} } } size 12{ {}=2}} {} is not conserved. Lμ=1Lμ=1 size 12{L rSub { size 8{μ} } =1} {} is conserved.

31.

(a)Yes. Z=1=0+(1)Z=1=0+(1) size 12{Z= - 1=0+ \( - 1 \) } {}, B=1=1+0B=1=1+0 size 12{B=1=1+0} {}, all lepton family numbers are 0 before and after, spontaneous since mass greater before reaction.

(b) ddsudd+u-dddsudd+u-d size 12{ ital "dds" rightarrow ital "udd"+ { bar {u}}d} {}

33.

(a) 216

(b) There are more baryons observed because we have the 6 antiquarks and various mixtures of quarks (as for the π-meson) as well.

35.

Ω + ( s - s - s - ) B = 1 3 1 3 1 3 = 1, L e , μ , τ = 0 + 0 + 0 = 0, Q = 1 3 + 1 3 + 1 3 = 1, S = 1 + 1 + 1 = 3 . Ω + ( s - s - s - ) B = 1 3 1 3 1 3 = 1, L e , μ , τ = 0 + 0 + 0 = 0, Q = 1 3 + 1 3 + 1 3 = 1, S = 1 + 1 + 1 = 3 . alignl { stack { size 12{ %OMEGA rSup { size 8{+{}} } \( { bar {s}} { bar {s}} { bar {s}} \) ,~B= - { {1} over {3} } - { {1} over {3} } - { {1} over {3} } = - 1,} {} # L rSub { size 8{e} } ,`μ,`τ=0+0+0=0, {} # Q= { {1} over {3} } + { {1} over {3} } + { {1} over {3} } =1,~S=1+1+1=3 "." {} } } {}

37.

(a)803 MeV

(b) 938.8 MeV

(c) The annihilation energy of an extra electron is included in the total energy.

39.

c d ¯ c d ¯ size 12{c {overline {d}} } {}

41.

a)The antiproton

b) p-π0+ep-π0+e size 12{ { bar {p}} rightarrow π rSup { size 8{0} } +e rSup { size 8{ - {}} } } {}

43.

(a) 5×10105×1010 size 12{5 times "10" rSup { size 8{"10"} } } {}

(b) 5×104particles/m25×104particles/m2

45.

2.5 × 10 17 m 2.5 × 10 17 m size 12{2 "." 5 times "10" rSup { size 8{ - "17"} } `m} {}

47.

(a) 33.9 MeV

(b) Muon antineutrino 29.8 MeV, muon 4.1 MeV (kinetic energy)

49.

(a) 7.2×105kg7.2×105kg size 12{7 "." 2 times "10" rSup { size 8{5} } `"kg"} {}

(b) 7.2×102m37.2×102m3 size 12{7 "." 2 times "10" rSup { size 8{2} } `m rSup { size 8{3} } } {}

(c) 100 months100 months size 12{"100 months"} {}

Test Prep for AP® Courses

1.

(d)

3.

(d)

5.

(b)

7.

(a)

9.

(c), though this comes from Einstein's special relativity

11.

(a)

13.

(d)

15.

(b)

17.

(b)

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