Frequency changes wavelength, pulse length, and axial limit. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Frequency changes wavelength before the pulse limit

The speed and cycle count stay fixed; the scan changes only frequency.

λ=cf,Δd=Nλ2\lambda={c\over f},\quad \Delta d={N\lambda\over 2}
Resolution rowThe pulse and limit labels are checked from wavelength.pulseseparationspeed 12 m/sfrequency 3 Hzlambda 4 mpulse 8 mlimit 4 mresolved

Three frequencies give three pulse-length limits

Higher frequency shortens wavelength, pulse length, and the axial limit.

fλNλΔd2612634844363\begin{array}{c|c|c|c}f&\lambda&N\lambda&\Delta d\\2&6&12&6\\3&4&8&4\\4&3&6&3\\\end{array}

The middle row has a four-meter limit

The final display follows the same checked wavelength and cycle count as the diagram.

8/2=48/2=4
Axial resolution limitThe resolved flag uses the checked separation and limit.pulseseparationspeed 12 m/sfrequency 3 Hzlambda 4 mpulse 8 mlimit 4 mresolved