- #1
DaveC426913
Gold Member
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Statement of the problem:
How many bedroom mirrors (of nominal dimensions six feet by one feet) are required to focus my neighbor's porch light with sufficient precision to raise the temperature to the ignition point of my neighbor's eyebrows?
Setup:
The porch light:
The image of my hand on my bedroom wall by porch light:
(in the morning I will find my hand just slightly more tanned than the rest of me)
The configuration:
How many bedroom mirrors (of nominal dimensions six feet by one feet) are required to focus my neighbor's porch light with sufficient precision to raise the temperature to the ignition point of my neighbor's eyebrows?
Setup:
- living at this address for exactly one month today,
- neighbor has a porch light of approximately 10 million candlepower
- the porch light is line-of-sight to my bedroom window, distance: 30m
- light is on a motion sensor whose sensitivity is on the "molecules" setting
- duration is "Longer Than Any Sane But Sleepless Person Would Think Possible"
- line-of-sight to my property is bounded by wall of neighbor's house and by my property lines (see diagram)
- we can ignore airspace regulations, 30m height should be well below flight paths
- the 3m easement across the back of my property can likewise be ignored, as it only restricts building of permanent structures, and I expect to take the scaffolding down once my neighbor's eyebrows are well and truly melted off
- assume bedroom mirrors are flexible enough to be bent circular with a radius of 30m. This will give a lit area of 1 foot wide by some arbitrarily small height.
- If more concentration is required, I can split the mirrors vertically to make six inch by six foot mirrors. Anything narrower than six inches is unnecessary, since that it the lower limit of typical eyebrow (full set) width.
- assume light and neighbor's eyebrows are effectively co-incident
- assume neighbor is spherical and in a vacuum (and - if a chicken - at least six feet tall)
The porch light:
The image of my hand on my bedroom wall by porch light:
(in the morning I will find my hand just slightly more tanned than the rest of me)
The configuration: