Question

In the relation $F=asin{k}_{1}x+bsin{k}_{2}t$, the units (SI) of $\frac{k_1}{k_2}$ is ......... .
($F,x\&t$ have usual meanings)

• A. $s/m$
• B. $sm$
• C. $st$
• D. $s/t$

Answer 1

The correct option is A $s/m$

The argument of sin must be dimensionless.

Hence, unit of $k_1$ must be $m^{-1}$ and that of $k_2$ must be $s^{-1}$.

Hence, unit of $\frac{k_1}{k_2}$ will be $s/m$.