The diameter of a sphere is measured using a vernier caliper whose 9 divisions of main scale are equal to 10 divisions of vernier scale. The shortest division on the main scale is equal to 1 mm . The

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The diameter of a sphere is measured using a vernier caliper whose 9 divisions of main scale are equal to 10 divisions of vernier scale. The shortest division on the main scale is equal to 1 mm . The main scale reading is 2 cm and second division of vernier scale coincides with a division on main scale. If mass of the sphere is 8.635 g, the density of the sphere is:

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Given 9 MSD = 10 VSD mass = 8.635 g ​ LC = 1 MSD − 1 VSD LC = 1 MSD − 10 9 ​ MSD LC = 10 1 ​ MSD LC = 0.01 cm ​ Reading of diameter = MSR + LC × VSR ​ = 2 cm + ( 0.01 ) × ( 2 ) = 2.02 cm ​ Volume of sphere = 3 4 ​ π ( 2 d ​ ) 3 = 3 4 ​ π ( 2 2.02 ​ ) 3 = 4.32 cm 3 Density = volume mass ​ = 4.32 8.635 ​ = 1.998 ∼ 2.00 g SECTION -B

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