In an experiment four quantities p, q, r and s are measured with percentage 3 %, 2 %, 3 % and 1 % respectively. Quantity ' A ' is calculated as follows A = pq ^2 r ^2 ~s ^4 , the percentage error in ' A ' is

Step-by-step solution

Given A = pq^2 r^2 s^4 , the maximum percentage error is calculated using the formula for error propagation in products and quotients. For A = p^1 q^2 r⁻² s⁻⁴ , the percentage error is: ( A A 100 ) % = |1| ( p p 100 ) % + |2| ( q q 100 ) % + |-2| ( r r 100 ) % + |-4| ( s s 100 ) % Substituting the given percentage errors 3 % for p , 2 % for q , 3 % for r , and 1 % for s : ( A A 100 ) % = 1 3 % + 2 2 % + 2 3 % + 4 1 % = 3 % + 4 % + 6 % + 4 % = 17 % Final answer: A