This is a question where it is important to choose the "most correct" answer. In reality, the bandwidth of test equipment is limited by many factors.

However, one of the most important factors in a digital sampling oscilloscope is the sampling rate. Nyquist's sampling theorem states that a baseband signal can only be reconstructed unambiguously if the frequency components of the signal are under half of the sampling rate.

In other words, an oscilloscope sampling at 20 megasamples per second can unambiguously reconstruct a 10MHz signal. Above 10MHz, the frequencies "fold over" and appear the same as lower frequencies. Because of this, an oscilloscope sampling at 20MSPS is likely to have a filter that starts to roll off some time before 10MHz to reject the higher frequencies that cause aliasing.

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Envision an oscilloscope with a line going from left to right. The line going from left to right represents increments of frequencies. The line going up and down represents the strength (amplitude) of the sum of the signals present at the frequency. Most frequencies appear as spikes in compressed mode. Expand the line out, and the spikes appear as sharp mountains. This tool is useful in viewing frequencies close to the target frequency, bandwidths and RF shielding assessments.

More info here: https://en.wikipedia.org/wiki/Spectrum_analyzer

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A spectrum analyzer displays the strength of a signal, and signals above and below the signal's frequency. Since spurious signals and/or intermodulation distortion products appear above and below a SSB signals frequency, the spectrum analyzer is a useful test instrument for displaying these.

You can adjust the vertical and horizontal scales on a spectrum analyzer - the vertical scale is the signal strength in Decibels, and the horizontal scale is the width of the spectrum being displayed.

Hint - The question asks about "spurious" signals and the answer is "spectrum" analyzer. Both words start with "sp".

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Nyquist's sampling theorem states that the highest frequency that can be unambiguously reconstructed is half the sampling rate. Above this, higher frequencies "fold over" and are aliased as lower frequency signals.

Because of this, sound cards and other sampling systems generally have filters that reject higher frequencies that would cause aliasing.

Because of this, a soundcard sampling at 44,100 samples per second (a common sampling rate) can only reliably detect signals up to about 20KHz; but a 96KHz sample rate might allow the detection of signals at 40KHz or more.

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It might be helpful to consider that a digital oscilloscope is basically just a "computerized" oscilloscope -- it doesn't necessarily measure anything differently, it's just that there is a computer inside which can read, store, display, and manipulate all of the measurements.

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Nyquist's sampling theorem states that the highest frequency that can be unambiguously reconstructed is at half the sampling rate, and above this, aliasing occurs.

If one should sample at 20MHz, signals of up to 10MHz can be reconstructed.

For example, if one supplied a 20,000,000 Hz signal to this oscilloscope, the oscilloscope would sample the same value every cycle, and the signal would totally disappear. If one instead supplied a 20,000,001Hz signal, the signal would drift in phase with the sampling at 1Hz, and a false 1Hz sine wave would be displayed.

Generally, an oscilloscope sampling at 20MHz will have filters to reject signals above 10MHz for this reason.

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An antenna analyzer has its own built in signal source.

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An antenna analyzer is a piece of equipment that analyzes different aspects of an antenna. The specific capabilities vary between different analyzers, but one capability that all have in common is the ability to measure the Standing Wave Ratio, or SWR, of an antenna.

The SWR of an antenna is the simplest indicator of how well an antenna matches the transmitter system on a given frequency.

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Here's a relevant example:

https://en.wikipedia.org/wiki/Aliasing#Online_audio_example

The rule of thumb is to sample at a rate of double the highest frequency. Therefore, the highest frequency is half the sample rate.

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A logic analyzer is a device which captures and displays several digital signals at a time. Digital signals from a circuit are sampled and stored so that their states can then be displayed visually. This allows the user to analyze the timing relationships between different signals. Logic states are often displayed as wave forms or timing diagrams. Most logic analyzers can be set to trigger on a complex set of input conditions, and can decode many different communication protocols.

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The probe tip and ground of an oscilloscope acts like a sensitive antenna loop. The bigger the loop the more undesired signals or noise it will pick up. Also, the inductance of the ground wire increases with length, which can distort high-frequency signals. So, keep it short as possible.

Hint: Practice, possible, probe.

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Transmitters normally put out enough power to radiate from an antenna; the signal thus produced is enough to travel to another antenna, potentially quite a distance away, and produce a signal in that antenna strong enough for a receiver to pick it up.

Spectrum Analyzers are generally intended to work with a receiver, or as a receiver with an antenna so if you transmit too much power into them you're likely to blow something up. Thus, to connect a spectrum analyzer to a transmitter output it is important to reduce (or attenuate) the transmitter output before it gets to the spectrum analyzer.

Hint: spectrum and transmitter are both in the question and correct answer.

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The probe is adjusted until the horizontal flats of a square wave are as flat as possible.

This adjustment is equivalent to making the probe have uniform attenuation over the range of frequencies to be measured. In passive probes this adjustment is usually a small adjustable capacitor.

Silly trick: Cubes are three dimensional, but squares are as flat as possible!

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A prescaler is an electronic counting circuit used to reduce a high frequency electrical signal to a lower frequency by integer division. The prescaler takes the basic timer clock frequency and divides it by some value before feeding it to the timer, according to how the prescaler register(s) are configured.

Mnemonic: think of -divisions- on a -scale-.

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A direct-count frequency counter generally lets you select a gate time -- .1s, 1s, or 10 seconds-- and tells you the number of times the signal toggles in that time. In the case of a 10 second gate time, the resolution of the measurement is 1/10Hz.

For example, a 293.75Hz signal will toggle back and forth 2937 or 2938 times in 10 seconds, providing a measurement of 293.7 or 293.8 cycles per second (Hertz). The measurement takes 10 seconds.

A period measuring frequency counter can instead notice that the signal takes about 34.043 milliseconds to toggle back and forth 10 times, or 3.4043 ms/cycle. Inverting this yields 293.746 cycles per second-- a more accurate measurement accomplished in a much quicker time (a fraction of a second versus 10 seconds). This advantage is most pronounced with slow signals. As signals speed up, the accuracy and time resolution of the period measurement reduces the resolution of the frequency measurement.

Hint: Only the correct answer has the word "period"

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