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.

Force causes accelerations and Torque causes angular accelerations.Torque is proportional to the distance between the rotation axis and the point of application of the force (the point at which the force is applied).

Mathematically, Torque is defined as product of Angular acceleration and Moment of Inertia. Its formula is

Torque = Angular Acceleration X Moment of Inertia

Dimensional Formula of Angular Acceleration = M⁰L⁰T^-2
Dimensional Formula of Moment of Inertia= M¹L²T⁰

Putting these values in above equation we get
Dimensional Formula of Torque= M¹L²T^-2
SI unit of Torque is N m