A spherical metal ball has mass 65.4 g. Its diameter is measured using a vernier calipers with 20 VSD = 19 MSD and 1 MSD = 1 mm. The main scale reading is 24 mm, the 14th vernier division coincides, and the zero error is -0.10 mm. Taking π = 3.14, the density of the ball is closest to:
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Question

A spherical metal ball has mass 65.4 g. Its diameter is measured using a vernier calipers with 20 VSD = 19 MSD and 1 MSD = 1 mm. The main scale reading is 24 mm, the 14th vernier division coincides, and the zero error is -0.10 mm. Taking π = 3.14, the density of the ball is closest to:

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G1 Physics · Accepted Answer

LC = 0.05 mm. Observed diameter = 24 + 14(0.05) = 24.70 mm. Zero correction = +0.10 mm, so corrected diameter = 24.80 mm = 2.48 cm. Radius = 1.24 cm. Volume = (4/3)(3.14)(1.24)³ ≈ 7.98 cm³. Density = 65.4/7.98 ≈ 8.2 g cm⁻³.

A spherical metal ball has mass 65.4 g. Its diameter is measured using a vernier calipers with 20 VSD = 19 MSD and 1 MSD = 1 mm. The main scale reading is 24 mm, the 14th vernier division coincides, and the zero error is −0.10 mm. Taking π = 3.14, the density of the ball is closest to: