Calculating Gamma Ray Count Rate Error in 20 secs

Click For Summary
SUMMARY

The discussion focuses on calculating the error in the gamma ray count rate when a detector records 10,000 counts over a 20-second interval. The error can be derived using the principles of counting statistics, specifically the Poisson distribution, which governs the behavior of such counts. The standard error is directly related to the square root of the number of counts, leading to a calculated error rate of approximately 5%. The problem references a past examination question from TIFR GS 2010.

PREREQUISITES
  • Understanding of Poisson distribution in statistics
  • Knowledge of gamma ray detection methods, specifically Geiger-Muller counters
  • Familiarity with error calculation in counting statistics
  • Basic proficiency in physics related to radioactive decay
NEXT STEPS
  • Study the principles of Poisson distribution and its applications in counting statistics
  • Learn about the operation and limitations of Geiger-Muller counters
  • Explore error propagation techniques in experimental physics
  • Review past examination questions from TIFR GS for similar problems
USEFUL FOR

Students in physics, particularly those studying nuclear physics or radiation detection, as well as educators and professionals involved in experimental design and data analysis in related fields.

swaha
Messages
5
Reaction score
0

Homework Statement


A detector is used to count the number of gamma rays from a radioactive source if the number of counts is 10000 in exactly 20 secs then what is the error in counting rate per sec?



Homework Equations

- no idea.



The Attempt at a Solution

- As per our syllabus we had only done Geiger muller counter which gives a dead time & from that we can calculate the error. However that is not given here. SO I got no idea to approach. Please help.

Options given- 5%, 22.4%, 44.7%, 220% (absolute values all).
Question source TIFR GS 2010.
 
Physics news on Phys.org

Similar threads

  • · Replies 11 ·
Replies
11
Views
3K
Replies
12
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
5
Views
2K
Replies
4
Views
3K