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If (1 % ) and (2 % ) are the errors in the measurement of mass and density of a cube respectively, then the error in the measurement of length is

Options

  1. A(1 % )
  2. B(3 % )
  3. C(2 % )
  4. D(4 % )

Correct answer

A. (1 % )

Step-by-step solution

Given, error in measurement of mass, ( m m =1 % ) and error in measurement of density, ( d d =2 % ) Now, density, (d= mass volume d= m V ) ( ) Volume of cube, (V=l^3 ) Then, (d= m l^3 l= ( m d )^ 1 3 ) Then the error in measurement of length, ( aligned l l 100 & = 1 3 ( m m 100+ d d 100 ) l l 100 & = 1 3 (1+2) 100 l l & =1 % aligned )

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