54.

(a) We recall that mc

2

= 0.511 MeV from Table 38-3, and note that the result of problem 3 in

Chapter 39 can be written as hc = 1240 MeV

·fm. Using Eq. 38-51 and Eq. 39-13, we obtain

λ

=

h

p

=

hc

√

K

2

+ 2Kmc

2

=

1240 MeV

·fm

(1.0 MeV)

2

+ 2(1.0 MeV)(0.511 MeV)

= 9.0

× 10

2

fm .

(b) r = r

0

A

1/3

= (1.2 fm)(150)

1/3

= 6.4 fm.

(c) Since λ

 r the electron cannot be confined in the nuclide. We recall from Chapters 40 and 41,

that at least λ/2 was needed in any particular direction, to support a standing wave in an “infinite
well.” A finite well is able to support slightly less than λ/2 (as one can infer from the ground state
wavefunction in Fig. 40-8), but in the present case λ/r is far too big to be supported.

(d) A strong case can be made on the basis of the remarks in part (c), above.

Document Outline

• Main Menu
• Chapter 1 Measurement
• Chapter 2 Motion Along a Straight Line
• Chapter 3 Vectors
• Chapter 4 Motion in Two and Three Dimensions
• Chapter 5 Force and Motion I
• Chapter 6 Force and Motion II
• Chapter 7 Kinetic Energy and Work
• Chapter 8 Potential Energy and Conservation of Energy
• Chapter 9 Systems of Particles
• Chapter 10 Collisions
• Chapter 11 Rotation
• Chapter 12 Rolling, Torque, and Angular Momentum
• Chapter 13 Equilibrium and Elasticity
• Chapter 14 Gravitation
• Chapter 15 Fluids
• Chapter 16 Oscillations
• Chapter 17 Waves—I
• Chapter 18 Waves—II
• Chapter 19 Temperature, Heat, and the First Law of Thermodynamics
• Chapter 20 The Kinetic Theory of Gases
• Chapter 21 Entropy and the Second Law of Thermodynamics
• Chapter 22 Electric Charge
• Chapter 23 Electric Fields
• Chapter 24 Gauss’ Law
• Chapter 25 Electric Potential
• Chapter 26 Capacitance
• Chapter 27 Current and Resistance
• Chapter 28 Circuits
• Chapter 29 Magnetic Fields
• Chapter 30 Magnetic Fields Due to Currents
• Chapter 31 Induction and Inductance
• Chapter 32 Magnetism of Matter: Maxwell’s Equation
• Chapter 33 Electromagnetic Oscillations and Alternating Current
• Chapter 34 Electromagnetic Waves
• Chapter 35 Images
• Chapter 36 Interference
• Chapter 37 Diffraction
• Chapter 38 Special Theory of Relativity
• Chapter 39 Photons and Matter Waves
• Chapter 40 More About Matter Waves
• Chapter 41 All About Atoms
• Chapter 42 Conduction of Electricity in Solids
• Chapter 43 Nuclear Physics
  • 43.1 - 43.10
    • 43.1
    • 43.2
    • 43.3
    • 43.4
    • 43.5
    • 43.6
    • 43.7
    • 43.8
    • 43.9
    • 43.10
  • 43.11 - 43.20
    • 43.11
    • 43.12
    • 43.13
    • 43.14
    • 43.15
    • 43.16
    • 43.17
    • 43.18
    • 43.19
    • 43.20
  • 43.21 - 43.30
    • 43.21
    • 43.22
    • 43.23
    • 43.24
    • 43.25
    • 43.26
    • 43.27
    • 43.28
    • 43.29
    • 43.30
  • 43.31 - 43.40
    • 43.31
    • 43.32
    • 43.33
    • 43.34
    • 43.35
    • 43.36
    • 43.37
    • 43.38
    • 43.39
    • 43.40
  • 43.41 - 43.50
    • 43.41
    • 43.42
    • 43.43
    • 43.44
    • 43.45
    • 43.46
    • 43.47
    • 43.48
    • 43.49
    • 43.50
  • 43.51 - 43.60
    • 43.51
    • 43.52
    • 43.53
    • 43.54
    • 43.55
    • 43.56
    • 43.57
    • 43.58
    • 43.59
    • 43.60
  • 43.61 - 43.70
    • 43.61
    • 43.62
    • 43.63
    • 43.64
    • 43.65
    • 43.66
    • 43.67
    • 43.68
    • 43.69
    • 43.70
  • 43.71 - 43.80
    • 43.71
    • 43.72
    • 43.73
    • 43.74
    • 43.75
    • 43.76
    • 43.77
    • 43.78
    • 43.79
    • 43.80
  • 43.81 - 43.88
    • 43.81
    • 43.82
    • 43.83
    • 43.84
    • 43.85
    • 43.86
    • 43.87
    • 43.88
• Chapter 44 Energy from the Nucleus
• Chapter 45 Quarks, Leptons, and the Big Bang