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Match the following |{:(,"Table-1",,"T...

Match the following
`|{:(,"Table-1",,"Table-2"),((A),"Stress"xx"Strain",(P),J),((B),(YA)/l,(Q),N//m),((C),Yl^(3),(R),J//m^(3)),((D),(Fl)/(AY),(S),m):}|`

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To solve the matching question, we will analyze each item in Table-1 and find the corresponding item in Table-2 based on their definitions and units. ### Step-by-Step Solution: 1. **Match A (Stress x Strain)**: - **Definition**: Stress is defined as force per unit area (F/A), and strain is a dimensionless quantity (change in length/original length). - **Units**: - Stress: Newton per meter squared (N/m²) - Strain: Dimensionless (m/m) - **Calculation**: - Stress x Strain = (N/m²) x (m/m) = N/m³ - Since 1 N = 1 J/m, we can express this as J/m³. - **Match**: A matches with R (J/m³). 2. **Match B (YA/l)**: - **Definition**: This expression relates to Young's modulus (Y), which is defined as stress/strain. - **Units**: - Y: Newton per meter squared (N/m²) - A: Area in square meters (m²) - l: Length in meters (m) - **Calculation**: - YA/l = (N/m²) x (m²) / (m) = N/m. - **Match**: B matches with Q (N/m). 3. **Match C (Yl³)**: - **Definition**: This expression involves Young's modulus (Y) and length (l). - **Units**: - Y: Newton per meter squared (N/m²) - l³: Volume in cubic meters (m³) - **Calculation**: - Yl³ = (N/m²) x (m³) = N·m = J (Joules). - **Match**: C matches with P (J). 4. **Match D (Fl/AY)**: - **Definition**: This expression relates to the deformation of a material under load. - **Units**: - F: Force in Newtons (N) - l: Length in meters (m) - A: Area in square meters (m²) - Y: Young's modulus in Newton per meter squared (N/m²) - **Calculation**: - Fl/AY = (N) x (m) / (m²) x (N/m²) = m. - **Match**: D matches with S (m). ### Final Matches: - A → R (J/m³) - B → Q (N/m) - C → P (J) - D → S (m)
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