Verified Solution • 2025–26 Session moderate

QJEEM18Pha3c9: JEE Main 2018 Physics - Class 11 JEEM18Pha3c9 Solution: The density of a material in the shape of a cube is determined…

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:

Multiple Choice Options

  • A 6%
  • B 2.50%
  • C 3.50%
  • D 4.50%

Step-by-Step Verified Solution

Density of a material (d) = ML3{M \over {{L^3}}}

∴\therefore Error in density, Δdd=ΔMM+3ΔLL{{\Delta d} \over d} = {{\Delta M} \over M} + 3{{\Delta L} \over L}

Δdd×100=ΔMM×100+3ΔLL×100{{\Delta d} \over d} \times 100 = {{\Delta M} \over M} \times 100 + 3{{\Delta L} \over L} \times 100

⇒Δdd×100=1.5%+3(1)%\Rightarrow {{\Delta d} \over d} \times 100 = 1.5\% + 3\left( 1 \right)\% = 4.5 %

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