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CBSE Class 11-science Answered

A physical quantity x is calculated from the relation x= a^3*b^2/uder root cd . calculte percentage error in x if percentage error in a,b,c,d are1%,3%,4%,2% respectively.    
Asked by paavan_vinodrai | 08 Jul, 2018, 03:17: PM
answered-by-expert Expert Answer
We have,   x = ( a3 × b2 ) / ( c1/2 x d1/2 )
 
% error in x is given as,
 
begin mathsize 12px style fraction numerator increment x over denominator x end fraction cross times 100 space equals space 3 fraction numerator increment a over denominator a end fraction cross times 100 space plus 2 fraction numerator begin display style increment b end style over denominator begin display style b end style end fraction cross times 100 plus 1 half fraction numerator begin display style increment c end style over denominator begin display style c end style end fraction cross times 100 plus 1 half fraction numerator begin display style increment d end style over denominator begin display style d end style end fraction cross times 100 fraction numerator begin display style increment x end style over denominator begin display style x end style end fraction cross times 100 space equals space 3 cross times 1 space plus space 2 cross times 3 space plus 1 half cross times 4 space plus 1 half cross times 2 space equals space 12 percent sign end style
Answered by Thiyagarajan K | 09 Jul, 2018, 01:28: PM
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