The side of a cube is measured by vernier calipers (10 divisions of verner scale coincide with 9 divisions of the main scale, where 1 division of main scale is 1mm). The main scale reads 10mm and first division of vernier scale coincides with main scale. The mass of the cube is 2.736g. Density of the cube in appropriate significant figures_____

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3.44 gcm^-3

2.66 gcm^-3

3.762 gcm^-3

4.623 gcm^-3

answer is B.

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Detailed Solution

L.C $= \frac{1 M . S . D}{n o . o f V . S . D} = \frac{1}{10} = 0.1 m m$
Side of cube $L = 10 m m + 1 \times 0.1 m m = 1.01 c m$
$ρ = \frac{m}{v} = \frac{2.736}{{(1.01)}^{3}} = 2.66 g c m^{- 3}$

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