Question

Statement I: In $y=A$ sin $\left(\omega t-kx\right),\left(\omega t-kx\right)$) is dimensionless.
Statement II: Dimension of Angular velocity $\omega$ is $\left[M^{0}L^{0}T^{0}\right]$

• A. If both statement I and statement II are true and statement II is the correct explanation of statement I.
• B. If both statement I and statement II are true but statement II is not the correct explanation of statement I.
• C. If statement I is true but statement II is false.
• D. If both statement I and statement II are false

Answer 1

Answer: (C)

As $\omega$ (angular velocity) has the dimension of$\left[T^{-1}\right]$ not $\left[T\right]$