College Physics for AP® Courses

# Chapter 33

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) $10−1110−11 size 12{"10" rSup { size 8{ - "11"} } } {}$ to 1, weak to EM

(b) 1 to 1

6.

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

(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) $Q = 1, Q′ = 1 + 0 + 0 = 1. L τ = − 1; L′τ = − 1; Lμ = 0; L′μ = − 1 + 1 = 0 Q = 1, Q′ = 1 + 0 + 0 = 1. L τ = − 1; L′τ = − 1; Lμ = 0; L′μ = − 1 + 1 = 0$

(c)

19.

(a) 3.9 eV

(b) $2.9×10−82.9×10−8 size 12{2 "." 9 times "10" rSup { size 8{ - 8} } } {}$

21.

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

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

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)

25.

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

(b) , 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. $Lei=0≠Lef=2Lei=0≠Lef=2 size 12{L rSub { size 8{e rSub { size 6{i} } } } =0 <> L rSub {e rSub { size 6{f} } } size 12{ {}=2}} {}$ 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) $dds→udd+u-ddds→udd+u-d size 12{ ital "dds" rightarrow ital "udd"+ { bar {u}}d} {}$

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) $p-→π0+e−p-→π0+e− size 12{ { bar {p}} rightarrow π rSup { size 8{0} } +e rSup { size 8{ - {}} } } {}$

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) $100 months100 months size 12{"100 months"} {}$

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)