Question

The density of a material in CGS system of units is 4g/cm³. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be(a) 0.4(b) 40(c) 400(d) 0.04

Answer 1

step by step explanation

Answer 2

Answer:

B) 40

Explanation:

Density in CGS system = 4g/cm³

Unit of length = 10cm

Unit of mass = 100g

Thus, 100 g = 1 hg ( hg = hectogram)

This gives conversion factors 100g/1 hg and  1 hg/ 100 g, that 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 (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

Thus the value of density of material is 40