Question

The density of a material in CGS system of unit is 4 gram centimetre cube in a system of unit in which unit of length is 10 cm and unit of mass is hundred gram the value of density of material will be

Answer 1

Answer:

100 g = 1 hg ( hg = hectogram)

This gives conversion factors 100g/1 hg and

1 hg/ 100 g, both of which are equal to unity. The first one can be used to convert hg to g and the second for changing g to hg.

10 cm = 1 dm (dm = decimetre)

The conversion factors are 10 cm/1 dm and 1dm/10 cm

Density = 4g/cm^3 = 4g/(1 cm)^3

= [4 g*(1hg/100g)]/[(1cm*1dm/10cm)^3]

= 0.04hg/10^-3 dm^3 = 40 hg/dm^3

( Note the cancellation of units. Remember the conversion factors are equal to unity and multiplying by conversion factors does not change the magnitude s .)

Answer 2

as given in the question the density of a material is 4 gram/cm³

we have to find the density if it's given 10 cm and mass is given hundred gram.

so now according to question what we have to do:-

(is written in about image)