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Match List I with List II
List - I List - II
A. Surface tension I. kg m$$^{-1}$$ s$$^{-1}$$
B. Pressure II. kg m s$$^{-1}$$
C. Viscosity III. kg m$$^{-1}$$ s$$^{-2}$$
D. Impulse IV. kg s$$^{-2}$$
Choose the correct answer from the options given below:
We need to match each physical quantity with its correct SI unit.
A. Surface Tension
Surface tension = Force per unit length = $$\frac{\text{N}}{\text{m}} = \frac{\text{kg} \cdot \text{m/s}^2}{\text{m}} = \text{kg s}^{-2}$$
This matches IV: kg s$$^{-2}$$.
B. Pressure
Pressure = Force per unit area = $$\frac{\text{N}}{\text{m}^2} = \frac{\text{kg} \cdot \text{m/s}^2}{\text{m}^2} = \text{kg m}^{-1}\text{s}^{-2}$$
This matches III: kg m$$^{-1}$$ s$$^{-2}$$.
C. Viscosity (Dynamic)
Viscosity = Pressure $$\times$$ Time = Pa $$\cdot$$ s = kg m$$^{-1}$$ s$$^{-2}$$ $$\times$$ s = kg m$$^{-1}$$ s$$^{-1}$$
This matches I: kg m$$^{-1}$$ s$$^{-1}$$.
D. Impulse
Impulse = Force $$\times$$ Time = N $$\cdot$$ s = kg $$\cdot$$ m/s$$^2$$ $$\times$$ s = kg m s$$^{-1}$$
This matches II: kg m s$$^{-1}$$.
Summary: A-IV, B-III, C-I, D-II
The correct answer is Option B.
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