The edge of a cube is measured using a vernier callipers. [`9` divisions of the main scale is equal to `10` divisions of the vernier scale and `1` main scale dividsion is `1 mm`]. The main scale division reading is `10` and `1st` division of vernier scale was found to be coinciding with the main scale. The mass of the cube is `2.736 g`. Calculate the density in `g//cm^3` upto correct significant figures.

Options

A. `2gcm^(-3)`
B. `2.5gcm^(-3)`
C. `2.65gcm^(-3)`
D. `2.65165gcm^(-3)`

Answer

C

Explanation

The side of cube `l=10mm+1xxVC`
`:.I=10mm+1xx0.1mm=10.1mm`
`:.`Density `=("Mass")/("Volume")=M/(l^(3))=2.732/((10.1xx10^(-1))^(3))gcm^(-3)=2.65165gcm^(-1)`
Applying the rule of significant figure
Densit `=2.65cm^(-3)`