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Re: [Phys-L] just for fun



On 12/18/2013 2:18 PM, Christopher M Gould wrote:
From: Phys-l [mailto:phys-l-bounces@phys-l.org] On Behalf Of John Denker
Sent: Wednesday, December 18, 2013 11:11 AM
To: Phys-L@Phys-L.org
Subject: [Phys-L] just for fun
> You start out in the attic. There are three switches. It is known that there are three light bulbs in the basement. The switches control the lights, but you don't know which goes with which. You get to make *one* trip to the basement to figure this out. How?

Just for fun. Assuming that there is a one-to-one correspondence between switches and lights, assuming that all lights work, and assuming that you know which way is "on" for all three switches, then one solution is to turn two lights on for a few minutes, then turn one off, and quickly run downstairs to see which light is dark but warm.

This is indeed the classic answer, which thermally codes the (incandescent) lamps.
I also liked the minimally invasive lamp load coding of one switch, with the second on and the third off. Other solutions need remote sensing of the basement with a wireless video cam, or a PC and web cam, a camera on video record at the basement end, or an accomplice or device at the attic end to signal a different flash sequence for each switch. One could also string a fiber guide from each light source back to the switch...

Brian Whatcott Altus OK