What is Dimensional Formula of Wave number (Propagation constant) ?

Wave number can be defined as the number of waves per unit length. In other words it is number of waves that occurs across a fixed distance. It is also known as propagation constant.

Wavenumber is reciprocal of Wave length. Unit of Wavenumber are cycles per centimeter or inverse centemeters.

Wave number (k) = 2 π / λ (Wave length)

Dimensional formula of wavelength = M0L1T0

So putting this value in the formula we get,

Dimensional Formula of Wave number or Propagation constant  = M0L-1T0
SI units of Wave number or Propagation constant is m-1.

What is Dimensional Formula of Centripetal acceleration ?

Centripetal acceleration is the acceleration directed towards the centre of curvature of the path of a body which is moving along that path with a constant speed.

Mathematically,
Centripetal acceleration = (Velocity)2 / radius.

Dimensional Formula of Velocity = M0L1T-1
Dimensional Formula of Radius = M0L1T0

Putting these values in above equation we get,
Dimensional Formula of Centripetal acceleration = M0L1T-2
SI unit of Centripetal acceleration is ms-2

What is Dimensional Formula of Angular impulse ?

Angular impulse is defined as the product of  torque and time for which it acts.

Mathematically,
Angular impulse = Torque X Time.

Dimensional Formula of Torque = M1L2T-2
Dimensional Formula of Time = M0L0T1

Putting these values in the given equation we get,

Dimensional Formula of Angular impulse = M1L2T-1
SI Unit of Angular impulse is Kg m2s-1

What is Dimensional Formula of Efficiency ?

Efficiency can be  defined as the  ratio of useful output energy to the amount of input energy.

Mathematically,

Efficiency = Useful output energy / Input energy.

Dimensional formula of output energy = M1L2T-2
Dimensional formula of input energy = M1L2T-2

Putting these values in above equation we get,

Dimensional formula of Efficiency = M0L0T0.
Efficiency has no SI Unit. (As both values are of energy).

What is Dimensional Formula of Hubble constant ?

Hubble constant can be defined as the ratio of receding velocity of  an extra galactic object to the distance of that object.

Mathematically,

Hubble constant(Ho) = Receding velocity(v)/distance(d) .

Dimensional Formula of Receding velocity = M0L1T-1
Dimensional Formula of Distance = M0L1T0

Putting these values in the given equation we get,

Dimensional Formula of Hubble constant = M0L0T-1
SI Unit of Hubble Constant is sec-1.

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