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  4. In an experiment on simple pendulum to determine the acceleration due to gravity, a student measures the length of the thread as 63.2 cm and diameter of the pendulum bob as 2.256 cm. The student should take the length of the pendulum to be

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Q. In an experiment on simple pendulum to determine the acceleration due to gravity, a student measures the length of the thread as $63.2\, cm$ and diameter of the pendulum bob as $2.256\, cm$. The student should take the length of the pendulum to be

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Solution:

Length of pendulum = Length of thread + Radius of bob
$=63.2+ \frac{2.256}{2}=36.2 +1.128$
$=6.4 328\, cm$
But now the student must apply rule for taking significant digits in a measurement. In addition or subtraction, Number of digits after decimal in result = Least number of digits after decimal in quantities added So, length of pendulum $= 64.3\, cm$