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QJEEM19Ph9f5f: JEE Main 2019 Physics - Class 11 JEEM19Ph9f5f Solution: In the density measurement of a cube, the mass and edge length…

In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the measurement of density is :

Multiple Choice Options

  • A 0.01 kg/m3
  • B 0.10 kg/m3
  • C 0.31 kg/m3
  • D 0.07 kg/m3

Step-by-Step Verified Solution

Mass (m) = (10.00 ± 0.10) kg

Edge length ( ll ) = (0.10 ± 0.01) m

Volume of the cube (V) = l3{l^3}

Density, ρ\rho = mV{m \over V}

dρρ=dmm+dVV{{d\rho } \over \rho } = {{dm} \over m} + {{dV} \over V}

⇒\Rightarrow dρρ=dmm+3dll{{d\rho } \over \rho } = {{dm} \over m} + 3{{dl} \over l}

⇒\Rightarrow dρρ=0.1010.00+30.010.10{{d\rho } \over \rho } = {{0.10} \over {10.00}} + 3{{0.01} \over {0.10}} = 0.31

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