A physical quantity P is described by the relation P = a 1 2 b 2 c 3 d - 4 . If the relative errors in the measurement of a , b , c and d respectively, are 2 % , 1 % , 3 % and 5 % . Then the relative error in P will be:

Step-by-step solution

P = a 1 2   b 2 c 3 d - 4 ∆ p p m a x = 1 2   ∆ a a + 2 ∆ b b + 3 ∆ c c + 4 ∆ d d 100 × ∆ P P = 1 2   ∆ a a + 2 ∆ b b + 3 ∆ c c + 4 ∆ d d × 100 %  error in   P = 1 2 × 2 + 2 × 1 + 3   × 3 + 4   × 5 = 32 %