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A force F is applied on a square plate of length L . If the percentage error in the determination of L is 3 % and in F is 4 % , then permissible error in the calculation of pressure is

Options

  1. A13 %
  2. B10 %
  3. C7 %
  4. D12 %

Correct answer

B. 10 %

Step-by-step solution

Given, Percentage error in length =3 % Percentage error in force =4 % We know that, Pressure, P= F A Area of square =(L)^2 aligned P & = F L^2 P P & = F F + 2 L L ( P P 100 ) & = ( F F 100 )+2 ( L L 100 ) & =4 %+2(3 %)=10 % aligned

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