目录 Contents Part I Theory of Errors and Data Processing Methods 1 Measurement and Error 3 2 Estimation of Measurement Error and Expression of the Result 9 3 Error Estimation for Direct Measurement 13 4 Error Estimation for Indirect Measurement 16 5 Significant Figures and Their Calculations 21 6 Commonly Used Data Processing Methods 26 7 Questions 37 Part II Fundamental and Comprehensive Experiments Exp. 1 Forward Characteristics of pn Junction Diode 41 1.1 Objective 41 1.2 Apparatus 41 1.3 Principle 42 1.3.1 pn junction 42 1.3.2 Forward characteristics of a pn junction 44 1.3.3 Temperature characteristics of a pn junction 45 1.3.4 Methods for deducing empirical function and calculating parameters of the temperature sensor 46 1.4 Apparatus depiction 47 1.5 Procedure 49 1.6 Data processing 51 1.6.1 Data processing based on the data in Tab. 1.1 51 1.6.2 Data processing based on the data in Tab. 1.2 51 1.7 Attentions 51 1.8 Questions 52 Exp. 2 Magnetoresistance Effect 53 2.1 Objective 53 2.2 Apparatus 54 2.3 Principle 54 2.4 Apparatus depiction 56 2.5 Procedure 58 2.6 Data processing 59 2.7 Attentions 60 2.8 Questions 61 Exp. 3 Study of Forced Oscillations with Pohl Resonator 62 3.1 Objective 62 3.2 Apparatus 63 3.3 Principle 63 3.4 Apparatus depiction 65 3.5 Procedure 67 3.5.1 Free oscillations 67 3.5.2 Damped oscillations 68 3.5.3 Forced oscillations 69 3.6 Data processing 69 3.7 Attentions 71 3.8 Questions 71 Exp. 4 Thermal Conductivity Measurement of a Rubber Disk by Steady-State Method 72 4.1 Objective 72 4.2 Apparatus 72 4.3 Principle 72 4.3.1 Thermal conductivity 72 4.3.2 Thermal conductivities of different substances 74 4.3.3 Principle of thermocouples 75 4.3.4 Principle of TC-3A thermal conductivity measurement instrument 76 4.4 Procedure 78 4.4.1 Preparation 78 4.4.2 Record the thermal equilibrium temperatures and 78 4.4.3 Measure the cooling temperature versus time for the lower brass disk 78 4.5 Data processing 79 4.6 Attentions 79 4.7 Questions 80 Exp. 5 Usage of an Oscilloscope 81 5.1 Objective 81 5.2 Apparatus 81 5.3 Principle 82 5.3.1 Main structure of an oscilloscope 82 5.3.2 Operation principle of an oscilloscope 85 5.3.3 Measurement of the amplitude and period (or frequency) of a periodic voltage 88 5.3.4 Lissajous figures 88 5.4 Procedure 89 5.4.1 Observation of sinusoidal voltage signals 89 5.4.2 Observe the waveform of signals from the rectifying and filtering circuit 90 5.4.3 Observe Lissajous figures 91 5.5 Attentions 92 5.6 Questions 92 Exp. 6 Measurement of Magnetic Field Based on Hall Effect 93 6.1 Objective 93 6.2 Apparatus 93 6.3 Principle 93 6.3.1 Hall effect and the measurement of magnetic induction intensity 93 6.3.2 Elimination of side effects 95 6.3.3 Theoretical basis of magnetic field generation by electrified solenoids and Helmholtz coils 96 6.4 Apparatus depiction 97 6.5 Procedure 99 6.6 Data processing 100 6.7 Questions 102 Exp. 7 Determination of Moment of Inertia of Rigid Bodies 103 7.1 Objective 103 7.2 Apparatus 103 7.3 Principle 104 7.3.1 Apparatus depiction 104 7.3.2 Principle for measuring the moment of inertia 105 7.3.3 Parallel-axis theorem 108 7.4 Procedure 108 7.4.1 Preparation 108 7.4.2 Measure the moment of inertia J0 of the empty rotational system 109 7.4.3 Measure the moment of inertia of the rotational system with an aluminum ring 109 7.4.4 Validation of the parallel-axis theorem 109 7.5 Data processing 110 7.5.1 Calculation of the moment of inertia of the aluminum ring 110 7.5.2 Verification of the parallel-axis theorem 110 7.6 Attentions 111 7.7 Questions 111 Exp. 8 Standing Wave on a String 112 8.1 Objective 112 8.2 Apparatus 112 8.3 Principle 113 8.3.1 Mathematical analysis of standing wave on a string 113 8.3.2 Principle of the instrument for string vibration 116 8.3.3 Application in musical instruments 117 8.4 Procedure 118 8.4.1 Preparation 118 8.4.2 Measure the resonant frequencies with 2 antinodes between two wedges 118 8.4.3 Measure the resonant frequencies with 3 antinodes between two wedges 119 8.5 Data processing 119 8.6 Attentions 120 8.7 Questions 121 Exp. 9 Diffraction Grating 122 9.1 Objective 122 9.2 Apparatus 123 9.3 Principle 123 9.3.1 Grating equation 123 9.3.2 Two important parameters 124 9.4 Procedure 125 9.4.1 Adjustment of spectrometer 125 9.4.2 Adjustment of the orientation of grating 125 9.4.3 Measure the grating constant 125 9.4.4 Measure the wavelength of blue spectral lines 126 9.5 Data processing 126 9.6 Attentions 127 9.7 Questions 127 Appendix: spectrometer alignment procedure 127 Exp. 10 Holography 131 10.1 Objective 131 10.2 Apparatus 132 10.3 Principle 132 10.3.1 Holographic recording 132 10.3.2 Reconstruction of holograph 133 10.3.3 The requirements for the holographic system 134 10.4 Procedure 135 10.4.1 Take a diffusive reflection holograph 135 10.4.2 Holographic reconstruction 136 10.5 Attentions 136 10.6 Questions 136 Exp. 11 Michelson Interferometer 137 11.1 Objective 137 11.2 Apparatus 137 11.3 Principle 137 11.3.1 Main structure of Michelson interferometer 137 11.3.2 Principle of the measurement of He-Ne laser wavelength 138 11.3.3 Principle of the measurement of the wavelength difference of sodium D-lines 140 11.4 Procedure 141 11.4.1 Measurement of the wavelength of He-Ne laser 141 11.4.2 Measurement of the difference of wavelengths between two sodium D-lines 142 11.5 Data processing 142 11.5.1 Measurement of the wavelength of He-Ne laser 142 11.5.2 Measurement of the difference of wavelengths of the sodium D-lines 143 11.6 Attentions 143 11.7 Questions 143 Exp. 12 Spectra of the Hydrogen Atom 144 12.1 Objective 144 12.2 Apparatus 145 12.3 Principle 145 12.3.1 Energy levels and spectral lines of the hydrogen atom 145 12.3.2 Principle for determining the Rydberg constant 146 12.4 Procedure 147 12.5 Data processing 148 12.6 Attentions 149 12.7 Questions 149 Exp. 13 AC Bridge Circuits 150 13.1 Objective 150 13.2 Apparatus 150 13.3 Principle 150 13.3.1 Balance condition for a Wheatstone bridge 150 13.3.2 Capacitor bridge 152 13.3.3 Inductor bridge 154 13.3.4 Resistor bridge 156 13.4 Apparatus depiction 156 13.5 Procedure 158 13.5.1 Measure the resistance of a resistor 158 13.5.2 Measure the capacitance of a capacitor 159 13.5.3 Measure the inductance of an inductor 159 13.6 Data processing 160 13.7 Attentions 161 13.8 Questions 161 Exp. 14 Measurement of the Speed of Ultrasound 162 14.1 Objective 162 14.2 Apparatus 162 14.3 Principle 163 14.3.1 Theoretical speed of sound in the air 163 14.3.2 Piezoelectric ceramic transducer 164 14.3.3 Measurement principle with the wave method 164 14.3.4 Measurement principle with the travelling time difference method 165 14.4 Apparatus depiction 166 14.5 Procedure 167 14.5.1 Measure the sound speed with the wave method 167 14.5.2 Measure the sound speed with the travelling time difference method 167 14.6 Data processing 168 14.7 Attentions 169 14.8 Questions 169 Exp. 15 Photoelectric Effect 170 15.1 Objective 170 15.2 Apparatus 170 15.3 Principle 170 15.4 Apparatus depiction 174 15.5 Procedure 175 15.5.1 Preparation 175 15.5.2 Measure the Planck constant h 175 15.5.3 Measurement of the volt-ampere characteristics 175 15.5.4 Verify the first law of photoelectric effect 176 15.6 Data processing 176 15.7 Attentions 177 15.8 Questions 177 Exp.16 Newton’s Rings 178 16.1 Objective 178 16.2 Apparatus 178 16.3 Principle 178 16.4 Procedure 180 16.4.1 Find Newton’s rings in the field of microscope 180 16.4.2 Measure the diameters of the interference rings 181 16.5 Data processing 181 16.6 Attentions 182 16.7 Questions 182 Appendix: about the travelling microscope and micrometers 182 Exp. 17 Optical Rotation 184 17.1 Objective 184 17.2 Apparatus 184 17.3 Principle 184 17.3.1 Natural light and polarized light 184 17.3.2 Optically active substance 185 17.3.3 Optical rotation angle 185 17.4 Apparatus depiction 185 17.5 Procedure 188 17.6 Data processing 189 17.7 Attentions 189 17.8 Questions 189 Exp. 18 Millikan’s Oil Drop Experiment 190 18.1 Objective 191 18.2 Apparatus 191 18.3 Principle 191 18.3.1 Dynamic method 191 18.3.2 Equilibrium method 194 18.3.3 Measurement of elementary electrical charge 194 18.4 Apparatus depiction 195 18.5 Procedure 197 18.5.1 Pre-adjustment of the apparatus 197 18.5.2 Choose suitable oil drops and practice to control them 198 18.5.3 Procedures for equilibrium method 200 18.5.4 Procedures for dynamic method (optional) 201 18.6 Data processing 202 18.7 Attentions 202 18.8 Questions 203 Exp. 19 Franck-Hertz Experiment 204 19.1 Objective 204 19.2 Apparatus 205 19.3 Principle 205 19.3.1 Key points of Bohr’s theory and the excitation potential of an atom 205 19.3.2 The basic principles of Franck-Hertz experiment 206 19.4 Apparatus depiction 208 19.5 Procedure 209 19.5.1 Manual measurement 209 19.5.2 Automatic measurement 209 19.6 Data processing 211 19.7 Attentions 211 19.8 Questions 212 Part Ⅲ Designing and Creative Experiments Exp. 20 Determination of the Relationship between Sound Speed and Temperature in Water 215 20.1 Objective 215 20.2 Apparatus 215 20.3 Requirements 215 20.4 Questions 215 20.5 References 216 Exp. 21 Determination of Resonant Frequency on a Str
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