Question:

Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as 4.62 s, 4.632 s, 4.6 s and 4.64 s. The arithmetic mean of these reading in correct significant figure is.

Updated On: Nov 21, 2024
  • 4.623 s
  • 4.62 s
  • 4.6 s
  • 5 s
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The Correct Option is C

Solution and Explanation

Sum of the numbers, considering the correct significant figures:

Sum=4.6+4.6+4.632+4.64=18.4 \text{Sum} = 4.6 + 4.6 + 4.632 + 4.64 = 18.4

The arithmetic mean is:

Arithmetic Mean=SumNumber of Observations=18.44=4.6s \text{Arithmetic Mean} = \frac{\text{Sum}}{\text{Number of Observations}} = \frac{18.4}{4} = 4.6 \, s

The result is rounded to the correct significant figure.

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