|
|
|
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.
|