1. Calibration equation 20 points
A raw light frame reads 22,000 ADU at a given pixel; the matched-exposure master dark (bias-inclusive) reads 460 ADU at that pixel, and the normalized flat-field value there is 0.97. Compute the calibrated ADU value at this pixel using I_cal=(raw-D)/F.
3. Zero-point consistency check 15 points
Compare your Problem 2 zero point to the zero point derived from SA 98-978 in Lab 04, and state whether the two are consistent to within a few hundredths of a magnitude (as expected on a genuinely photometric night) or suggest a possible calibration problem.
4. Diagnosing an inconsistency 20 points
If the two zero points disagreed by several tenths of a magnitude rather than a few hundredths, list two specific, physically distinct calibration or observing problems (e.g., non-photometric conditions, a flat-field or dark-subtraction error) that could explain such a discrepancy, and explain how an observer would distinguish between them.