AP EAMCET · PHYSICS · Mathematics in Physics
If \(1 \%\) and \(2 \%\) are the errors in the measurement of mass and density of a cube respectively, then the error in the measurement of length is
- A \(1 \%\)
- B \(3 \%\)
- C \(2 \%\)
- D \(4 \%\)
Answer & Solution
Correct Answer
(A) \(1 \%\)
Step-by-step Solution
Detailed explanation
Given, error in measurement of mass, \(\frac{\Delta m}{m}=1 \%\) and error in measurement of density, \(\frac{\Delta d}{d}=2 \%\) Now, density, \(d=\frac{\text { mass }}{\text { volume }} \Rightarrow d=\frac{m}{V}\) \(\therefore\) Volume of cube, \(V=l^3\) Then,…
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