The density of material in CGS system of units is `4gcm^(-3)`. In a system of units in which unit of length is 10 cm and unit of mass is 100 gm, then the value of density of material will be

Options

A. 0.04
B. 0.4
C. 40
D. 400

Answer

C

Explanation

Dimensional formula : `M^(1)L^(-3)a=1, b=-3`
`n_(1)u_(1)=n_(2)u_(2)`
`n_(2)=n_(1)(u_(1))/(u_(2))`
`n_(2)=4xx((M_(1))/(M_(2)))^(1)((L_(1))/(L_(2)))^(-3)`
`=4xx((1)/(100))((1)/(10))^(-3)`
`=4xx(1000)/(100)="40 units."`