Physics · Dimensions of Physics quantities, dimensional analysis and its applications
The equation of a plane progressive wave is given by \) The dimension of \) is t
The equation of a plane progressive wave is given by \( \boldsymbol{y}=\boldsymbol{A} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x}) \) The dimension of \( (\omega / k) \) is that of
- A. frequency
- B. velocity
- C. wavelength
- D. inverse of velocity
Step-by-step solution
In the wave equation, ω is angular frequency (dimension T⁻¹) and k is wave number (dimension L⁻¹). Therefore, ω/k has dimension L T⁻¹, which is velocity.
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