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MHT CET · Physics · Mathematics in Physics

Error in the measurement of radius of the sphere is \(2 \%\). The error in the calculated value of its volume is

  1. A 3 %
  2. B 2 %
  3. C 6 %
  4. D 9 %
Verified Solution

Answer & Solution

Correct Answer

(C) 6 %

Step-by-step Solution

Detailed explanation

\(\frac{\Delta V}{V} \% = 3 \left( \frac{\Delta r}{r} \% \right)\) \(\frac{\Delta V}{V} \% = 3 \times 2 \% = 6 \%\)