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

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Solution

Q.
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 [2024]

1 4.6 s

2 5 s

3 4.623 s

4 4.62 s

Ans.
(1)

In four values least significant digit value is 4.6 so first round off every value according to this

$4.62 \to 4.6, 4.632 \to 4.6, 4.6 \to 4.6, 4.64 \to 4.6$

$a v g = \frac{4.6 + 4.6 + 4.6 + 4.6}{4} = 4.6$

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