COMEDK · Physics · 1. Mathematics in Physics
In an experiment to measure the density of the material of a sphere, an error of \(2 \%\) occurred while measuring the radius of a sphere and an error of \(3 \%\) occurred while measuring the mass of the sphere. What is the maximum percentage error in the measurement of density?
- A \(6\)
- B \(7\)
- C \(9\)
- D \(8\)
Answer & Solution
Correct Answer
(C) \(9\)
Step-by-step Solution
Detailed explanation
The density \(\rho\) of a sphere is given by the formula \(\rho = \dfrac{M}{V}\), where \(M\) is the mass and \(V\) is the volume. The volume of a sphere is \(V = \dfrac{4}{3} \pi r^3\), where \(r\) is the radius. Substituting the expression for volume into the density formula,…
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