Question

The equation of stationary wave is $y = A\, \sin\, kx\, \cos \omega t$ where, y and x are in meter and t in second. Choose the correct option.

• A. the dimensions of A and k are same
• B. the dimensions of A, k and $\omega$ are same
• C. the dimensions of k and $\omega$ are same
• D. the dimensions of $\left(kx\right)$ and $\left(\omega t\right)$ are same

Answer 1

Answer: (D)

$kx$ and $\omega t$ have dimensions of angle $\left(i.e.,\left[M^{0}L^{0}T^{0}\right]\right)$
Hence, $kx$ and $\omega t$ both are dimensionless