Question

If length of a rod l is (4.0±0.1)m and it's mass M is (5.0±0.1) kg, then the maximum percentage error in measurement of moment of inertia is ( moment of inertia is directly proportional to ML2)

Answer 1

Let us take the length as 'a' and relative error in a be Δa, and Mass as 'b' and Relative error in Mass be Δb.

Using the formula of the Total error in percentage,

Total Percentage error = Δa/a × 100 + Δb/b × 100

∴ % Error = 0.1/4 × 100 + 0.1/5 × 100

∴ % Error = 2.5 + 2

∴ % Error =  3.5 %

Hope it helps.