A physical quantity z depends on four observables a, b, c and d, as z = [a^2b^(2/3)]/[√c d^3].

Question

 A physical quantity z depends on four observables a, b, c and d, as  Z = \(\frac{a^2 b^{\frac{2}{3}}}{\sqrt C d^3}\). The percentages of error in the measurement of a, b, c and d are 2%, 1.5%, 4% and 2.5% respectively. The percentage of error in z is

(1) 13.5% 

(2) 14.5% 

(3) 16.5% 

(4) 12.25%

Answer 1

Correct answer is (2) 14.5%

= 2 x 2 + \(\frac{2}{3}\)x 1.5 + \(\frac{1}{2}\)x 4 + 3 x 2.5

= 14.5%