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CBSE Class 11-science Answered

Calculate percentage error in the determination of G= 4pie square L/Tsquare , when L and T are measured with plus minus 2% and plus minus 3% error respectively. 
Asked by Ravidalton816 | 13 Jun, 2019, 09:58: PM
answered-by-expert Expert Answer
begin mathsize 14px style g space equals space fraction numerator 4 straight pi squared straight L over denominator T squared end fraction
r e l a t i v e space e r r o r space i n space g space d u e space t o space r e l a t i v e space e r r o r space o f space l e n g t h space L space a n d space t h a t space o f space t i m e space p e r i o d space T space i s space g i v e n space b y
fraction numerator increment g over denominator g end fraction space equals space fraction numerator increment L over denominator L end fraction plus 2 fraction numerator increment T over denominator T end fraction space space
H e n c e space p e r c e n t a g e space e r r o r space colon space space fraction numerator increment g over denominator g end fraction cross times 100 space equals space fraction numerator increment L over denominator L end fraction cross times 100 plus 2 fraction numerator increment T over denominator T end fraction space cross times 100 space equals space 2 percent sign plus 3 percent sign space equals space 5 percent sign space end style
Answered by Thiyagarajan K | 14 Jun, 2019, 11:08: AM
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