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In an experiment four quantities a, b, c and d are measured with percentage error 1 %, 2 %, 3 % and 4 % respectively. Quantity P is calculated as follows P= a^3 b^2 c d % , Error in P is

Options

  1. A14 %
  2. B10 %
  3. C7 %
  4. D4 %

Correct answer

A. 14 %

Step-by-step solution

Here, P= a^3 b^2 c d aligned P P & 100 = ( 3 a a + 2 b b + c c + d^ d ) 100 = & 3 a a 100+2 b b 100+ c c 100+ d^ d 100 = & 3 1+2 2+3+4 = & 3+4+3+4=14 % aligned

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