Question

define the relationship between S.I unit and C. G. S. unit of density
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Answer 1

there is not a relation but on the basis of use Density is mass divided by volume, which is mass divided by the cube of length.

People using the cgs system insist that all masses be expressed in grams and lengths in centimeters. The use of other prefixes provided by the metric system are not considered acceptable. Therefore, density in cgs units must be expressed as a number of grams per cubic centimeter (symbol g/cm³).

In SI mass and lengths have base units: kilogram and meter, respectively. Therefore, the coherent SI unit for density is the kilogram per cubic meter (symbol kg/m³). However, unlike cgs, SI allows the use of other prefixes on the units. For a quotient, the typical preference is to use a different prefix on a unit in the numerator, though there is sometimes reasonable justification to apply a prefix in the denominator. Thus, megagram per cubic meter might well be more suitable for density of solids and is permitted by SI. If you take data from a source using kilogram per liter, you might want to change that to kilogram per cubic decimeter, so that the unit size is not being changed and the numeric values due not need changing, but SI is being strictly adhered to (since the liter is not an SI unit). Such an action is fine in the context of SI but prohibited for cgs.

Answer 2

Explanation:

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Physical Qunatity SI unit CGS unit

Density 1000 kg/m3 1 g/cm3

Speed 1 m/s 100 cm