The side of a cube is measured by vernier callipers (`10` divisions of a vernier scale coincide with `9` divisions of main scale, where `1` division of main scale is `1mm`). The main scale reads `10mm` and first division of vernier scale coincides with the main scale. Mass of the cube is `2.736 g`. find the density of the cube in appropriate significant figures.
Text Solution
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Least count of vernier callipers `= ( 1 "division of main scale") /(" Number of divisons in vernier scale") = (1)/( 10) = 0.1 mm` Side of cube `= 10 mm + 1 xx 0.1 mm = 1.01 cm` Now , density `= ("Mass") / ("Volume") = ( 2.736 g)/(( 1.01)^(3) cm^(3)) = 2.66 g cm^(-3)` ( to correct number of significant figures)
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