Ruprecht Karls University of Heidelberg
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FP75-78 Computer-Based Device Controlling and Data Processing
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?

The questions above are listed and answered in the instructions to the task.


Last modified: 05/22/2001 - 4:49 pm (rw) Comments to: victor (at) kip.uni-heidelberg.de