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


ANSWER

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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