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A quantity Q is formulated as X ⁻² Y ^ + 3 2 Z ^ - 2 5 X , Y and Z are independent parameters which have fractional errors of 0.1,0.2 and 0.5 , respectively in measurement. The maximum fractional error of Q is

Options

  1. A0.1
  2. B0.8
  3. C0.7
  4. D0.6

Correct answer

C. 0.7

Step-by-step solution

aligned & Fractional error =2 X X + 3 2 Y Y + 2 5 Z Z & =2(0.1)+ 3 2 (0.2)+ 2 5 (0.5) & =0.2+0.3+0.2=0.7 aligned

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