Doppler Shift of Light

LightSpectra • DataInference • Both • 14 min

Name: ________________________________ Section: __________ Date: __________

Station: __________ Group members: ________________________________________________

Goal: infer motion from spectral evidence and justify when relativity matters.

Station card: Doppler Shift (10-12 minutes) Artifact: one comparison table + one model-choice justification.

  1. Start at rest and record one representative line for your selected element.
  2. Set vr=+300 km/sv_r=+300\ \text{km/s} and then vr=−300 km/sv_r=-300\ \text{km/s}.
    • Record λobs\lambda_{\rm obs}, Δλ\Delta\lambda, νobs\nu_{\rm obs}, and shift direction.
  3. Switch to presets 7 and 8.
    • Compare non-rel and relativistic predictions.
    • Use the red/blue marker thresholds on the zz slider and record the NR error percentage.
  4. Use the Sound vs Light callout.
    • Explain why the wave crests in this demo are uniformly spaced at the observer.
  5. Tap Why this line? and note how representative-line anchoring is chosen.
  6. Run one Mystery Spectrum round (predict -> check -> explain), then use Copy challenge evidence.
  7. Write one sentence claim:
    • “For this case, the non-rel formula is / is not acceptable because _____.”
CaseElementvrv_r (km/s)znonrelz_{\rm nonrel}zrelz_{\rm rel}λobs\lambda_{\rm obs} (nm)Δλ\Delta\lambda (nm)NR error (%)
Rest
+300 km/s
-300 km/s
Preset 7
Preset 8

Sanity checks

  • Receding sources shift to longer wavelength (redshift); approaching sources shift to shorter wavelength (blueshift).
  • Non-rel and relativistic formulas should agree closely at low speed.
  • At high redshift, the non-rel formula should visibly diverge.
  • Kinematic Doppler redshift is not the same mechanism as cosmological or gravitational redshift.