Question

The% errorof mass and lengthis 2% and 3% .find the % error in its density

Answer 1

$\mathbb{\bold {ANSWER}}$

Error % in density is 11%

$\mathbb{\bold {EXPLANATION}}$

% error of mass = Δm/m = 2%%

error of length = ΔL/L = 3%

Volume = kL³ (where k is some constant)

ΔV/V = 3ΔL/L = 3×3 = 9%

We know that,

Density = Mass/Volume

ρ = m/V

Δρ/ρ = Δm/m + ΔV/V

Δρ/ρ = 2 + 9 = 11%

Hence the % error in finding density will be 11%