Q128 · Practice questionComplex familiar5 marks
QUESTION 128 (5 marks)
An unstable particle has a proper mean lifetime of microseconds and moves at relative to a laboratory.
a)[2 marks]
Calculate the Lorentz factor and the mean lifetime measured in the laboratory.
b)[2 marks]
Calculate the mean laboratory distance travelled.
c)[1 mark]
Explain why using the proper lifetime directly in the laboratory underestimates the distance.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
The proper lifetime applies to the particle rest frame. Laboratory clocks measure a dilated lifetime by the factor .
Worked solution
Part (a): ; laboratory lifetime tau0 microseconds.
Part (b): tau.
Part (c): The proper lifetime applies to the particle rest frame. Laboratory clocks measure a dilated lifetime by the factor .
Part (a): completes the requested reasoning and obtains a correct result.
Part (b): completes the requested reasoning and obtains a correct result.
Part (c): completes the requested reasoning and obtains a correct result.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabusHow many marks did you earn?
Compare your working with the guide above.