Velocity Gradient is defined as rate of change in velocity per unit of distance.

Mathematically,
Velocity Gradient= velocity/distance.

Dimensional Formula of velocity= M⁰L¹T^-1

Putting these values in above equation we get,
Dimensional Formula of Velocity Gradient = M⁰L⁰T^-1
SI unit of Velocity Gradient is s^-1

Velocity of Light in Vacuum is defined as the ratio of distanced travelled by light in vacuum to the time taken to do so. For Example: It takes 1/299792458 seconds for light in vacuum to pass 1 meter.

Mathematically,
Velocity of Light in vacuum = distance travelled / time taken = L/T.

Dimensional Formula of Length = M⁰L¹T⁰
Dimensional Formula of Time = M⁰L⁰T¹

Putting these values in above equation we get,
Dimensional Formula of Velocity of Light in Vacuum = M⁰L¹T^-1
SI unit of Velocity of Light in Vacuum  is ms^-1

Angular Frequency is defined as rate of change of angular displacement.

Mathematically,
Angular Frequency can be defined as frequency in cycles multiplied by 2π.

Dimensional Formula of Frequency = 1/ M⁰L⁰T¹ = M⁰L⁰T^-1

Putting these values in above equation we get,

Dimensional Formula of Angular Frequency = 1/ M⁰L⁰T¹ = M⁰L⁰T^-1
SI unit of Angular Frequency is radian/sec.

Frequency is the defined as number of complete cycles per second.

Mathematically,
Frequency = number of vibrations/sec

Dimensional Formula of Time = M⁰L⁰T¹

Putting these values in above equation we get
Dimensional Formula of Frequency = 1/ M⁰L⁰T¹ = M⁰L⁰T^-1

Hence,
Dimensional Formula of Frequency = M⁰L⁰T^-1
SI unit of Frequency is the hertz.

Wavelength is defined as the distance between identical points in the adjacent cycles of a waveform.

Mathematically,

Dimensional Formula of Length = M⁰L¹T⁰

So ,
Dimensional Formula of Wavelength = M⁰L¹T⁰
SI units of Angular Wavelength is m.