Question

The measured values of mass, length, breadth and
thickness of a rectangular block are 39.3 g, 5.12 cm,
2.56 cm and 0.37 cm respectively. Find the maximum
permissible percentage error in the determination of
the density of the material of the block

Answer 1

Answer:

3.58%

Explanation:

We know that uncertainty in m = ± 0.01g

Also the uncertainty in lenght = ± 0.01 cm

And the uncertainty in breadth = ± 0.01 cm

Lastly the uncertainty in thickness = ± 0.01 cm

Now the relative error in density can be calculated as;

Δρ / ρ = Δl / l + Δb / b + Δt / t = Δm + m

= 0.01 / 5.12 + 0.01 / 2.56 + 0.01 / 0.37 + 0.1 / 39.3

= 0.0019 + 0.0039 + 0.027 + 0.0024

= 0.0358

Error = 3.58 %

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