An experiment measured quantities a,b,c and then x is calculated by using the relation x = ab2 / c3 . If the percentage errors in measurements a.b,and c are ± 1%, ± 2% and ± 1.5% respectively, then calculate the maximum percentage error in value of x obtained.
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Explanation:
% ERROR IN A= 1
% ERROR IN B=2
% ERROR IN C = 1.5
GIVEN X= AB²/C³
% ERROR IN X = % ERROR IN A+ 2* % ERROR IN B+ 3* % ERROR IN C
= 1+2*2+3*1.5
=1+4+4.5
= 9.5 % ERROR IN X
HOPE THIS HELPS.
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