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Q.

A student in the laboratory measures thickness of a wire using screw guage, the reading are 1.22 mm, 1.23 mm, 1.19 mm and 1.20 mm, the percentage error is x121%  , the value of  x is ______

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answer is 150.

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Detailed Solution

Mean thickness 
 tmean=t1+t2+t3+t44 =1.22+1.23+1.19+1.204 ;   tmean=1.21
Error in measurement are 
e=|tmti| ;   e1=|1.211.22|=0.01
Similarily, 
 e2=0.02,e3=0.02,e4=0.01
Mean error 
 e¯=e1+e2+e3+e4e1=0.015
Percentage error
=emeantmean×100 =0.0151.21×100 =150121%   ;  x=150  
 

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A student in the laboratory measures thickness of a wire using screw guage, the reading are 1.22 mm, 1.23 mm, 1.19 mm and 1.20 mm, the percentage error is x121%  , the value of  x is ______