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MHT CET2018PhysicsMathematics in Physics

Let x = a 2 b 2 c be the physical quantity. If the percentage error in the measurement of physical quantities a , b and c is 2 , 3 and 4 percent respectively then percentage error in the measurement of x is

Options

  1. A7 %
  2. B14 %
  3. C21 %
  4. D28 %

Correct answer

B. 14 %

Step-by-step solution

Δ x x = 2 Δ a a + 2 Δ b b + Δ c c Δ x y = 2 × 2 + 2 × 3 + 4 = 4 + 6 + 4 Δ x x = 14 %

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