A) The error in the measurement of r is \[~10%\]
B) The error in the determined value of g is \[11\text{ }%\]
C) The error in the measurement of T is \[~3.75%\]
D) none of these
Correct Answer: C
Solution :
% error in measurement of ?r? |
\[=\frac{1}{10}\times 100=10%\] \[{{T}_{\operatorname{mean}}}=\frac{0.52+0.56+0.57+0.54+0.59}{6}=0.556\approx 0.56\,\,S\] |
\[{{\Delta }_{T}}=\frac{0.04+0+0.01+0.02+0.03}{6}=0.016\approx 0.02\,S\] |
\[\therefore %\]error in the measurement of ?T? \[=\frac{0.02}{0.56}\times 100=3.57%\] |
\[%\]error in the value of \[g\]\[=2\frac{\Delta T}{T}\times 100+\left( \frac{\Delta R+\Delta r}{R-r} \right)\times 100\]\[2\left( 3.57 \right)+\left( \frac{1+1}{60-10} \right)\times 100=\approx 11%\] |
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