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.
The unit of the ratio between thrust and impulse is same as that of
Asked in UPSC NDA 2 2021 · Topic: Measurement/Unit (Dimensional Analysis (Dimensions, Homogeneity, Applications))
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