The diameter of a spherical bob, when measured with vernier callipers yielded the following values: 3.33 cm, 3.32 cm, 3.34 cm, 3.33 cm and 3.32 cm. The mean diameter to appropriate significant figures is: (a) 3.328 cm (b) 3.3 cm (c) 3.33 cm (d) 3.32 cm

Answer: (c). Mean = (3.33 + 3.32 + 3.34 + 3.33 + 3.32)/(5) = (16.64)/(5) = 3.328 cm Readings have 2 decimal places (3 significant figures), so round to 3.33 cm. So the answer is (c).

The diameter of a spherical bob, when measured with vernier callipers… | NEET 2023

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Errors in Measurement

The diameter of a spherical bob, when measured with vernier callipers yielded the following values: $3.33\text{ cm}, 3.32\text{ cm}, 3.34\text{ cm}, 3.33\text{ cm}$ and $3.32\text{ cm}$ . The mean diameter to appropriate significant figures is:

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Answer: (c)

Mean $= \frac{3.33 + 3.32 + 3.34 + 3.33 + 3.32}{5} = \frac{16.64}{5} = 3.328\ \text{cm}$
Readings have 2 decimal places (3 significant figures), so round to $3.33\ \text{cm}$ .
So the answer is (c).

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