Accuracy; precision of instruments and errors in measurements

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By Expert Faculty of Sri Chaitanya
Question

To estimate 'g'  from g=4π2LT2, error in measurement of L is ±2% and error in measurement of T is ±3%. The error in estimated 'g' will be:

Moderate
Solution

g=4π2lT2         Δll=2%=±2×102        ΔTT=±3%=±3×102   Δgg=Δll+2ΔTT               =2×102+2×3×102               =8×102=±8%


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