Which of the following relations for the displacement of a particle undergoing simple harmonic motion is not correct dimensionally?

• A

  $\mathrm{y}=\mathrm{asin}\frac{2\mathrm{\pi t}}{\mathrm{T}}$

• B

  $\mathrm{y}=\mathrm{acos}\mathrm{\omega t}$

• C

  $\mathrm{y}=\frac{\mathrm{a}}{\mathrm{T}}\sin \left(\frac{\mathrm{t}}{\mathrm{a}}\right)$

• D

  $\mathrm{y}=\mathrm{a}\sqrt{2}\left(\sin \frac{2\mathrm{\pi t}}{\mathrm{T}}+\cos \frac{2\mathrm{\pi t}}{\mathrm{T}}\right)$