Question

Given that $y=acos(\frac{t}{p}-qx)$, where $t$ represents time in following statements is true?

• A. The unit of $x$ is same as that of $q$
• B. The unit of $x$ is same as that of $p$
• C. The unit of $t$ is same as that of $q$
• D. The unit of $t$ is same as that of $p$

Answer 1

Answer: (D)

The unit of $t$ is same as that of $p$

$y=acos(\frac{t}{p}-qx)$

As, $(\frac{t}{p}-qx)$ is a dimensionless quantity, $\frac{t}{p}$ has to be dimensionless.

Hence, dimensions of $t$ is same as that of $p$. Then, the unit of $t$ has to be same as that of $p$.