State the law of dimensional homogeneity and list seven examples of primary dimensions and their associated symbols and S.I units.

Step 1: List seven primary dimensions, their associated symbols, and S.I. units.

• Mass:

  • Symbol: M
  • S.I. Unit: kilogram (kg)

• Length:

  • Symbol: L
  • S.I. Unit: meter (m)

• Time:

  • Symbol: T
  • S.I. Unit: second (s)

• Temperature:

  • Symbol: $\theta$
  • S.I. Unit: Kelvin (K)

• Electric Current:

  • Symbol: I
  • S.I. Unit: Ampere (A)

• Amount of Substance:

  • Symbol: N
  • S.I. Unit: mole (mol)

• Luminous Intensity:

  • Symbol: J
  • S.I. Unit: candela (cd)