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LED colors and the Planck constant

Find and record the turn-on voltage for each LED color. Estimate the Planck constant from the slope of threshold voltage against frequency.

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    Electronics · Semiconductor devices / Principles and inquiry

    LED colors and the Planck constant experiment guide

    Find and record the turn-on voltage for each LED color. Estimate the Planck constant from the slope of threshold voltage against frequency.

    How does it work?

    Higher-frequency LEDs have higher threshold voltages. Estimate h from the slope using several colors.

    Key relationship

    f = c/λ · eVth ≈ hf · h estimate = e × slope(Vth vs f)

    Try this investigation

    1. Choose a color and adjust voltage in 0.01 V steps to find the turn-on boundary.
    2. For red, green and blue, use the threshold button or adjust voltage manually, then run and record.
    3. Record a calibration offset and two other colors, then compare the estimates.

    Interpreting your results

    If the V–f slope is 4.14×10⁻¹⁵ V·s, what estimate of h results from multiplying by e?

    About 6.63×10⁻³⁴ J·s

    Assumptions and limitations

    This is an educational approximation eV ≈ hf. Real LED band gaps, contact voltages and turn-on criteria can cause larger errors. Noise is a reproducible fixed color correction. The threshold button helps locate the ideal model boundary. Use this simulation; do not reproduce it with real power supplies or wall outlets.