Question

find The conversation factor between the si and cgs unit of work using dimensional analysis in physic​

Answer 1

Answer:

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).

Explanation:

SI units of density is kg/m3 ( kilogram per cubic metre)

CGS units of density is g/cm3 ( gram per cubic centimetre)

1 kg = 1000 grams

1 meter = 100 centimetre

1 cubic metre = 1 metre * 1 metre * 1 metre

= 100 centimetre * 100 centimetre * 100 centimetre = 10^6 cubic centimetre

1 m3 = 10^6 cm3

So, 1 kg/m3 = 1000g/10^6 cm3

1 kg/m3 = 10^-3 g/cm3

1 g/cm3 = 1000 kg/m3