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NTA Abhyas JEE Main2020PhysicsUnits and DimensionsPractice

The density of a cube is measured by measuring its mass and length of its sides. If the maximum errors in the measurement of its mass and length are 4 % and 3 % , respectively, then, the maximum error in density is

Options

  1. A1 %
  2. B7 %
  3. C5 %
  4. D13 %

Correct answer

D. 13 %

Step-by-step solution

ρ   =   M a s s L 3 %   e r r o r   i n   ρ   =   %   e r r o r   i n   m a s s   +   3 [ %   e r r o r   i n   l e n g t h ] =   4 %  +   3 [ 3 % ]   =   13 %

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