In the relation : $\frac{d y}{d x}=2 \omega \sin \left(\omega t+\phi_0\right)$ the dimensional formula for $\left(\omega t+\phi_0\right)$ is :
$MLT$
$MLT ^0$
$ML ^0 T ^0$
$M ^0 L ^0 T ^0$
Which of the following quantities is dimensionless
The equation of a wave is given by$Y = A\sin \omega \left( {\frac{x}{v} - k} \right)$where $\omega $ is the angular velocity and $v$ is the linear velocity. The dimension of $k$ is
The potential energy of a particle varies with distance $x$ from a fixed origin as $U=\frac{A \sqrt{x}}{x^2+B}$, where $A$ and $B$ are dimensional constants then dimensional formula for $A B$ is
$M{L^3}{T^{ - 1}}{Q^{ - 2}}$ is dimension of
Out of the following, the only pair that does not have identical dimensions is