AP EAMCET · PHYSICS · Mathematics in Physics
The length of a pendulum is measured as \(1.01 \mathrm{~m}\) and time for 30 oscillations is measured as one minute \(3 \mathrm{~s}\). Error length is \(0.01 \mathrm{~m}\) and error in time is \(3 \mathrm{~s}\). The percentage error in the measurement of acceleration due to gravity is
- A \(1\)
- B \(5\)
- C \(10\)
- D \(15\)
Answer & Solution
Correct Answer
(C) \(10\)
Step-by-step Solution
Detailed explanation
\(\frac{\Delta g}{g}=\frac{\Delta l}{l}+\frac{2 \Delta T}{T}\) We get, \(\frac{\Delta g}{g} \%=10 \%\)
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