Physics

# Force is given by the expression, $F=A\cos { (Bx) } +C\cos { (Dt) }$, where $x$ is displacement and $t$ is time. The dimension of $\left( \cfrac { D }{ B } \right)$ is same as that of

Velocity

##### SOLUTION
Dimension of $D$ is  $[T^{-1}]$.
Similarly, dimension of $B$ is  $[L^{-1}]$.
Thus dimension of  $\dfrac{D}{B} = \dfrac{[T^{-1}]}{[L^{-1}]} = [M^0L^1T^{-1}]$
So, the quantity $\dfrac{D}{B}$ represents velocity

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