A physical quantity ρ is calculated by using the formula = 1 x y^ 2 10 z^ 1 / 3 , where…

Physics · JEE Main · NTA ExamsPhysics and Measurement

A physical quantity ρ is calculated by using the formula \(\rho=\frac{1 x y^{2}}{10 z^{1 / 3}},\) where x, y and z are experimentally measured quantities. If the fractional error in the measurement of x, y and z are 2%, 1% and 3%, respectively, then the maximum fractional error in the calculation of ρ is
  1. 0.5%
  2. 5%
  3. 6%
  4. 7%

Answer

(D) 7%

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