Question

Find the conservation factor between SI unit and CGS unit of energy using dimensional analysis

Answer 1

si unit of energy is joules and its cgs unit is erg

∴ let 1 joule= x erg

∴ 1 [ML²T⁻²] = x [ ML²T⁻²]

1 [kg][m]²[sec]⁻²= x [g][cm]²[sec]⁻²

x= [g÷kg] [cm²÷m²] [sec⁻²÷sec⁻²]

x=[1000][10000]

x=10⁷

→ 1joule= 10⁷erg