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List of Questions

Questions on the Theory
- Driven damped harmonic oscillator
  - Diff. equation, solution, meaning of terms
  - Resonance frequency, quality factor, higher harmonics
  - Amplitude and phase as functions of the frequency
- Wave
  - Standing waves, eigenfrequencies, wave lengthes
- Vibrating Reed
  - Eigenfrequencies, oscillation modes
  - Forced damped oscillations: amplitudes and phases, resonant frequencies, quality factor

Questions on the Experimental Setup
- Experimental installation
  - How are the oscillations of the reed activated?
  - What is the frequency of the oscillations?
  - How are the oscillations read out? To be specific, which quantity is measured and how?
  - How is the temperature of the reed set and measured?
  - How does a Peltier element work?
- Lock-in amplifier
  - What is a lock-in amplifier required for?
    Please, perform an estimation explained in Sect. 2.2 of the instructions in advance!
  - How does a Lock-in amplifier function?
  - How to visualise the functionality of the lock-in amplifier in the frequency space?
  - Which mathematical operations does a lock-in amplifier perform?
  - Which quantities does the lock-in amplifier provide in this experimental setup?
  - How can one obtain the necessary quantities from the measured ones?

Questions on the Measurement
- What are we going to measure in parts A and B?
- Measurement strategy: How to find the resonant frequencies in part A?
- What advantages and disadvantages have both methods got, which are proposed for part B?

Questions on the Data Analysis
- What are fits of measured data done for?
- What does the central limit theorem say?
- For a set of N measurements at one point with the standard deviation σ, what is the statistical error δ of the mean value?
- For several sets of N measurements in each set, what is the distribution of the mean values?
- Describe the least squares method. Give the definition of χ².
- How can one estimate the goodness of a fit quantitavely?
  What can one conclude on the basis of a goodness estimation?