Dimensional Formula of Frequency

The dimensional formula of Frequency is given by,

[M⁰ L⁰ T^-1]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Frequency (v) = number of vibrations × sec^-1 . . . . . (1)

The dimensional formula of time = [M⁰ L⁰ T¹] . . . . (2)

On substituting equation (2) in equation (1) we get,

Frequency = number of vibrations × sec^-1

Or, v = [M⁰ L⁰ T^-1]

Therefore, frequency is dimensionally represented as [M⁰ L⁰ T^-1].

⇒ Check Other Dimensional Formulas:

• Dimensions of Wavelength
• Dimensions of Mobility
• Dimensions of Impedance
• Dimensions of Newton
• Dimensions of Rotational Kinetic Energy

Waves on a string