A wire has mass (0.3±0.003) g, radius (0.5±0.005) mm and length (6±0.06) cm. Find maximum percentage error in its density.
Physics · Mixed Chapter
JEE Main Practice

Question

A wire has mass (0.3±0.003) g, radius (0.5±0.005) mm and length (6±0.06) cm. Find maximum percentage error in its density.

G1 Physics · Accepted Answer

Step 1: For cylindrical wire ρ = m/(πr²ℓ). Step 2: Maximum relative error: Δρ/ρ = Δm/m + 2Δr/r + Δℓ/ℓ. Step 3: Each given fractional measurement error is 1%. Step 4: Percentage error = 1 + 2(1) + 1 = 4%.