Question

The ratio of the unit of acceleration and velocity gives the unit of the physical quantity _________.

• A. Time
• B. Frequency
• C. Amplitude
• D. Speed

Answer 1

The correct option is B

Frequency

Step 1: Determine the unit of speed and acceleration:

$$\begin{gathered} Acceleration=\frac{m}{s^2} \\ Speed=\frac{m}{s} \end{gathered}$$

Step 2: Find the ratio of units of acceleration and speed:

$$\begin{gathered} \frac{Acceleration}{Speed}=\frac{{\displaystyle \frac{m}{s^2}}}{{\displaystyle \frac{m}{s}}} \\ =\frac{m}{s^2}x\frac{s}{m} \\ =\frac{1}{s}=\mathit{F}\mathit{r}\mathit{e}\mathit{q}\mathit{u}\mathit{e}\mathit{n}\mathit{c}\mathit{y} \end{gathered}$$

Therefore, the ratio of acceleration and speed is frequency.

Hence, option B is correct.