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 readings in correct significant figure is: (a) 5 s (b) 4.6 s (c) 4.62 s (d) 4.623 s

Answer: (b). Mean = (4.62 + 4.632 + 4.6 + 4.64)/(4) = (18.492)/(4) = 4.623 s 4.6 s has only 1 decimal place, so the sum (and mean) keeps 1 decimal place. So the answer is (b) 4.6 s.

Time periods of oscillation of the same simple pendulum measured… | JEE Main 2024 (5 Apr, Shift 1)

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Significant Figures & Order of Magnitude

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

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Answer: (b)

Mean $= \frac{4.62 + 4.632 + 4.6 + 4.64}{4} = \frac{18.492}{4} = 4.623\ \text{s}$
4.6 s has only 1 decimal place, so the sum (and mean) keeps 1 decimal place.
So the answer is (b) $4.6\ \text{s}$ .

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