The unit of the ratio between thrust and impulse is same as that of

The unit of the ratio between thrust and impulse is same as that of

frequency
speed
wavelength
acceleration
This question was previously asked in
UPSC NDA-2 – 2021
The correct option is A. We need to find the unit of the ratio between thrust and impulse and compare it with the units of the given options.
Thrust is a force. The SI unit of force is Newton (N), which is equivalent to $\text{kg} \cdot \text{m/s}^2$.
Impulse is the change in momentum, or force multiplied by time. The SI unit of impulse is N·s, which is equivalent to $(\text{kg} \cdot \text{m/s}^2) \cdot \text{s} = \text{kg} \cdot \text{m/s}$.
The ratio $\frac{\text{Thrust}}{\text{Impulse}}$ has units $\frac{\text{N}}{\text{N} \cdot \text{s}} = \frac{1}{\text{s}}$.
The unit $1/\text{s}$ is the unit of frequency. Frequency is the number of cycles or events per unit time, measured in Hertz (Hz), where 1 Hz = $1/\text{s}$.
Let’s check the units of the options:
A) Frequency: $1/\text{s}$ or Hz.
B) Speed: m/s.
C) Wavelength: m.
D) Acceleration: m/s².
The unit of the ratio is the same as the unit of frequency.
Impulse is also equal to the change in momentum ($\Delta p = m \Delta v$). So the unit of impulse is also $(\text{kg}) \cdot (\text{m/s}) = \text{kg} \cdot \text{m/s}$. Using this, the ratio unit is $\frac{\text{kg} \cdot \text{m/s}^2}{\text{kg} \cdot \text{m/s}} = \frac{1}{\text{s}}$.