Experimentally, the free oscillation mode frequency is obtained by a readout from the oscilloscope screen. A student has found that 5 full periods of the damped oscillations cover 5.0 major divisions on the horizontal scale, with the time-sweep knob indicating 10 microseconds/division. What is the frequency obtained from the experimental readout? With the preserved setting of the oscilloscope (and a time-sweep subdivision being 0.2 of the horizontal division), is it possible to distinguish this readout from the resonance frequency f0 theoretically obtained in Problem 1, and examined experimentally too?
(1. For a series RLC circuit with resistance 5 kiloohm, capacitance 100 picofarad, and inductance 0.025 henry, what is the inductive and capacitive reactance, and the impedance at frequency 80 kilohertz, and what are the natural and the free oscillation mode frequencies? Provide the results within 1 Hz accuracy.)