A force F is applied on a square plate of side L . If the percentage error in determining F is 3 % and that in L is 2 % , then the percentage error in determining the pressure is

Step-by-step solution

The pressure is defined as P = F / A , where for a square plate A = L^2 , giving P = F / L^2 . Using the propagation of errors formula P P 100 % = (1 F F + 2 L L ) 100 % , and substituting the given errors F F 100 % = 3 % and L L 100 % = 2 % , we obtain: P P 100 % = (1 3 % + 2 2 %) = 3 % + 4 % = 7 % . Final answer: A