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{:(,"Column I",,,"Column II"),((A),"Mome...

`{:(,"Column I",,,"Column II"),((A),"Moment of inertia",,(p),"newton"//"metre"^(2)),((B),"Surface tension",,(q),"kg"//("metre-sec")),((C),"Angular acceleration",,(r),"kg-metre"^(2)),((D),"Coefficient of viscosity",,(s),"newton"//"metre"),((E),"Modulus of elasticity",,(t),"radian"//"sec"^(2)):}`

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To solve the problem of matching the items in Column I with their corresponding units in Column II, we will analyze each item step by step. ### Step-by-Step Solution: 1. **Moment of Inertia (A)**: - The moment of inertia is a measure of an object's resistance to changes in its rotation and is represented by the unit \( \text{kg} \cdot \text{m}^2 \). - Therefore, we match **A** with **(r) kg-metre²**. 2. **Surface Tension (B)**: - Surface tension is defined as the force per unit length acting at the surface of a liquid. Its unit is \( \text{N/m} \) (newton per meter). - Thus, we match **B** with **(s) newton/meter**. 3. **Angular Acceleration (C)**: - Angular acceleration is the rate of change of angular velocity and is measured in \( \text{rad/s}^2 \) (radians per second squared). - Hence, we match **C** with **(t) radian/sec²**. 4. **Coefficient of Viscosity (D)**: - The coefficient of viscosity describes a fluid's resistance to flow and is expressed in units of \( \text{kg/(m·s)} \) (kilogram per meter per second). - Therefore, we match **D** with **(q) kg/(metre-sec)**. 5. **Modulus of Elasticity (E)**: - The modulus of elasticity measures a material's ability to deform elastically (i.e., non-permanently) when a force is applied. Its unit is \( \text{N/m²} \) (newton per square meter). - Thus, we match **E** with **(p) newton/m²**. ### Final Matches: - A → (r) kg-metre² - B → (s) newton/meter - C → (t) radian/sec² - D → (q) kg/(metre-sec) - E → (p) newton/m²
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