In an experiment four quantities a , b , c and d are measured with percentage error 1% , 2% , 3% and 4% respectively. Quantity P is calculated as follows P = c d a 3 b 2 % , Error in P isNEET 2013 (

Question

In an experiment four quantities a , b , c and d are measured with percentage error 1% , 2% , 3% and 4% respectively. Quantity P is calculated as follows P = c d a 3 b 2 ​ % , Error in P isNEET 2013 (All India)

TestHub · Accepted Answer

Here, P = c d a 3 b 2 ​ ∴ P Δ P ​ = = = ​ × 100 = ( a 3Δ a ​ + b 2Δ b ​ + c Δ c ​ + d Δ d ′ ​ ) × 100 3 a Δ a ​ × 100 + 2 b Δ b ​ × 100 + c Δ c ​ × 100 + d Δ d ′ ​ × 100 3 × 1 + 2 × 2 + 3 + 4 3 + 4 + 3 + 4 = 14% ​

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