# Problem: In a game of “Clue,” Ms. White is killed in the conservatory. A spectrometer in each room records who is present to help find the murderer. For example, if someone wearing yellow is in a room, light at 580 nm is reflected. The suspects are Col. Mustard, Prof. Plum, Mr. Green, Ms. Peacock (blue), and Ms. Scarlet. At the time of the murder, the spectrometer in the dining room shows a reflection at 520 nm, those in the lounge and the study record lower frequencies, and the one in the library records the shortest possible wavelength. Who killed Ms. White? Explain.

###### FREE Expert Solution

Killer = not in "other" rooms except the conservatory

• white → mix of all colors of visible light

Mr. Green (~520 - 560 nm) was at the dining room (520 nm) → not the killer

Shortest wavelengths → library

• shortest wavelength → violet
• Prof. Plum  (violet = ~400 - 450 nm)  was in the library  not the killer

Lower frequency (inversely proportional to wavelength) → longer wavelength → lounge and study

• longer wavelengths:
• Ms. Scarlet (red = ~635 - 700 nm) was either in the lounge or study   not the killer
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###### Problem Details

In a game of “Clue,” Ms. White is killed in the conservatory. A spectrometer in each room records who is present to help find the murderer. For example, if someone wearing yellow is in a room, light at 580 nm is reflected. The suspects are Col. Mustard, Prof. Plum, Mr. Green, Ms. Peacock (blue), and Ms. Scarlet. At the time of the murder, the spectrometer in the dining room shows a reflection at 520 nm, those in the lounge and the study record lower frequencies, and the one in the library records the shortest possible wavelength. Who killed Ms. White? Explain.