In an experiment, percentage errors in physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. If X = A²B¹ᐟ²/(C¹ᐟ³D³), the maximum percentage error in X is:
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Question

In an experiment, percentage errors in physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. If X = A²B¹ᐟ²/(C¹ᐟ³D³), the maximum percentage error in X is:

G1 Physics · Accepted Answer

Step 1: For products and powers, maximum percentage errors add with absolute exponents: 2(1) + (1/2)(2) + (1/3)(3) + 3(4) = 2+1+1+12 =16%. Final: Correct answer: A.