WBJEE · Physics · Mathematics in Physics
The density of the material of a cube can be estimated by measuring its mass and the length of one of its sides. If the maximum error in the measurement of mass and length are \(0.3 \%\) and \(0.2 \%\) respectively, the maximum error in the estimation of the density of the cube is approximately.
- A \(1.1 \%\)
- B \(0.5 \%\)
- C \(0.9 \%\)
- D \(0.7 \%\)
Answer & Solution
Correct Answer
(C) \(0.9 \%\)
Step-by-step Solution
Detailed explanation
Given, Maximum error in the measurement of mass \(=0.3 \%\) Maximum error in the measurement of length \(=0.2 \%\) We know that, Error in density is given as, \(\text {Density, } \rho=\frac{\text { mass }(m)}{\text { volume }(V)}=\frac{m}{L^{3}}\) where, \(L=\) side of cube…
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