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.

64.328

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64.3

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65.456

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65.5

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Solution

The correct option is B $64.3$ cm
Length of pendulum = length of thread + radius of bob
Therefore, length = 63.2 + 1.128 = 64.328
But, because the given length of the thread is up to 1 decimal place of precision. Hence, the length of the pendulum would be rounded off to 1 decimal place only.
Therefore, the answer is 64.3cm.

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A students performs an experiment to determine the acceleration due to gravity (g) at a place using a simple pendulum. The length of the pendulum is 60 cm and the total time for 30 oscillations is 100s. What is maximum percentage error for the measurement g ? Given, least count for time $= 0.1 s$ and least count for length $= 0.1 c m$ .