Maximum errors in measured mass and density of a cube are 2% and 1%, respectively. Find maximum percentage error in cube edge length.
Physics · Mixed Chapter
JEE Main Practice

Question

Maximum errors in measured mass and density of a cube are 2% and 1%, respectively. Find maximum percentage error in cube edge length.

G1 Physics · Accepted Answer

Step 1: For a cube m=ρℓ³, so ℓ=(m/ρ)¹⁄³. Step 2: Max error δℓ/ℓ=(1/3)(δm/m+δρ/ρ). Step 3: Percentage error=(2+1)/3=1%.