The density of a sphere is measured by measuring the mass and diameter. If it is known that the maximum percentage errors in the measurement of mass and diameter are 2 % and 3 % respectively then the

Question

The density of a sphere is measured by measuring the mass and diameter. If it is known that the maximum percentage errors in the measurement of mass and diameter are 2 % and 3 % respectively then the maximum percentage error in the measurement of density is

TestHub · Accepted Answer

The density can be computed by ρ = m v = m πd 3 6 or ρ ∝ m d 3 ∴ ∆ ρ ρ × 100 % = ∆ m m × 100 % + 3 ∆ d d × 100 % or ∆ ρ ρ × 100 = 2 + 3 × 3 = 11 Hence, the percentage error in measurement of density is 11 %

Physics - Error Question with Solution | TestHub

Doubts & Discussion