JEE Mains · Physics · STD 11 - 13. oscillations
To find the spring constant \((k)\) of a spring experimentally, a student commits \(2 \%\) positive error in the measurement of time and \(1 \%\) negative error in measurement of mass. The percentage error in determining value of \(\mathrm{k}\) is _______.
- A \(3 \%\)
- B \(1 \%\)
- C \(4 \%\)
- D \(5 \%\)
Answer & Solution
Correct Answer
(D) \(5 \%\)
Step-by-step Solution
Detailed explanation
\(\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{k}}}\) \(\mathrm{T}^2 \propto \frac{\mathrm{m}}{\mathrm{k}}\) \(\frac{2 \Delta \mathrm{T}}{\mathrm{T}} \%=\frac{\Delta \mathrm{m}}{\mathrm{m}} \%-\frac{\Delta \mathrm{k}}{\mathrm{k}} \%\)…
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