September 4, 2007 - Cosmic Telescope: Difference between revisions

Revision as of 15:50, 5 September 2007

Plateau Zeroing
Time Start	Time Stop	Time elapsed (min.)	Thresholds on both Scintillators	Singles Count (on top)	Coinc. Counts	Coinc. per minute	Angle measure
1:35 pm on 8/31	1:10 pm on 9/04	5725 min	225	626816	1654	.2889	75 degrees

Poisson Distribution: standard deviation ([math]\displaystyle{ \sigma }[/math]) = root of the mean ([math]\displaystyle{ \sqrt{\mu} }[/math]); use in counting experiments; the distribtuion approximated the Binomial Distribution for the special case when the mean ([math]\displaystyle{ \mu }[/math]) is a lot less than the number of attempts to measure ([math]\displaystyle{ n }[/math]) because the probability of the event occurrring is small.; In the cosmic ray telescope experiment the mean number of detected cosmic rays is much smaller than the number of cosmic rays passing by.

Time Start	Time Stop	Time elapsed (hour)	Singles Count (on top)	Coinc. Counts	Coinc. per hour	[math]\displaystyle{ \sqrt{N} }[/math]	[math]\displaystyle{ (x_i-\bar{x})^2 }[/math]
1:20 pm	2:20 pm	1	5694	127	127	11.3	121
2:20 pm	3:20 pm	1	4896	136	136	11.6	4
3:20 pm	4:20 pm	1	4655	151	151	12.2	169

Instrumental Uncertainty =[math]\displaystyle{ \sigma = \sqrt{\frac{\sum (x_i - \bar{x})^2}{N-1}} = 12.12 }[/math] counts per hour

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 |75 degrees
 |}<br>
+; Poisson Distribution
+: standard deviation (<math>\sigma</math>) = root of the mean (<math>\sqrt{\mu}</math>)
+: use in counting experiments
+: the distribtuion approximated the Binomial Distribution for the special case when the mean (<math>\mu</math>) is a lot less than the number of attempts to measure (<math>n</math>) because the probability of the event occurrring is small.
+: In the cosmic ray telescope experiment the mean number of detected cosmic rays is much smaller than the number of cosmic rays passing by.
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