With the same matched line, three calibration scales move the displayed detector channel.
With the same matched line, three calibration scales move the displayed detector channel. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Scale changes the detector channel
The photon energy stays 5 joules and the offset stays 1 channel. Scale 1 maps the line to channel 6.
channel=1⋅5+1=5+1=6
Scale changes the detector channel
The photon energy stays 5 joules and the offset stays 1 channel. Scale 2 maps the line to channel 11.
channel=2⋅5+1=10+1=11
Scale changes the detector channel
The photon energy stays 5 joules and the offset stays 1 channel. Scale 3 maps the line to channel 16.