Two elastic rods are joined between fixed supports as shown in the figure. The condition for no change in the lengths of individual rods with the increase of temperature is: (α1,α2 = linear expansion coefficient, A1, A2 = area of rods, Y1,Y2 = Young's modulus)
Correct answer: D. A1/A2 = (α2 * Y2) / (α1 * Y1)
- A. A1/A2 = (α1 * Y1) / (α2 * Y2)
- B. A1/A2 = (L1 * α1 * Y1) / (L2 * α2 * Y2)
- C. A1/A2 = (L2 * α2 * Y2) / (L1 * α1 * Y1)
- D. A1/A2 = (α2 * Y2) / (α1 * Y1)
Explanation
The correct answer is d) A1/A2 = (α2 * Y2) / (α1 * Y1)For no change in length, the compressive force in both rods should be equal:A1 * Y1 * α1 * ΔT = A2 * Y2 * α2 * ΔT=> A1/A2 = (α2 * Y2) / (α1 * Y1)
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Solids are compared through crystal structure, amorphous arrangement, elasticity, plastic deformation, stress, strain and Young’s modulus. Electrical behavior depends on available charge carriers and band structure, so conductors, insulators and semiconductors must be distinguished from mechanical properties such as strength, stiffness and brittleness.
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