Q.

Time intervals measured by a clock give the following readings: 1.25 s, 1.24 s, 1.27 s, 1.21 s and 1.28 s 

What is the percentage relative error of the observations

A

1.6%

 

B

2%

 

C

4%

 

D

16%

 


A.

a) t¯=1.25+1.24+1.27+1.21+1.285

=1.25S

(t)1=1.25-1.25=0

(t)2=1.24 - 1.25 =-0.01 

(t)3=1.27 -1.25 = 0.02

(t)4=1.21 - 1.25 =-0.04 

(t)5=1.28 - 1.25 = 0.03 

|t¯|=|(t)1|+|(t)2|+|(t)3|+|(t)4|+|(t)5|5

=0+0.01+0.02+0.04+ 0.03 5=0.02

|t¯|t¯×100=0.021.25×100=1.6%

 

 



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