STANDARDPhysics-Elasticity
STANDARD Physics Elastic Potential Energy MCQ Question
Type: MCQ-conceptual-Medium
Two wires of the same material and length but diameter in the ratio 1 : 2 are stretched by the same load. The ratio off elastic potential energy per unit volume for the two wires to
A
1 : 1
B
2 : 1
C
4 : 1
D
16 : 1
Correct Answer
Option D
Detailed Explanation
Elastic potential energy per unit volume is proportional to the square of the stress. Since the wires are of the same material, Young's modulus is the same. The stress is inversely proportional to the square of the diameter, so the ratio of energies is (2/1)⁴ = 16:1.
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