The specific resistance ρ of a circular wire of radius r, resistance R and lenght l is…

Physics · JEE Advanced · NTA ExamsPhysics and Measurement

The specific resistance ρ of a circular wire of radius r, resistance R and lenght l is given by \(\rho=\frac{\pi r^{2} R}{\ell}\).
Given, r = (0.24 ± 0.02) cm, R = (30 ± 1) Ω and l = (4.80 ± 0.01) cm. The percentage error in \(\rho\) is nearly
  1. 7%
  2. 9%
  3. 13%
  4. 20%

Answer

(D) 20%

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