Two wires of the same material and lengths but having diameters in the ratio of 1 : 2 are stretched by a force of equal magnitude. The ratio of potential energy stored per unit volume for the two wires when stretched will be

Question

Two wires of the same material and lengths but having diameters in the ratio of 1 : 2 are stretched by a force of equal magnitude. The ratio of potential energy stored per unit volume for the two wires when stretched will be, 16 : 1, 2 : 1, 4 : 1, 1 : 1

MARKS App · Accepted Answer

u = 1 2 stress × strain Stress = f A 1 ; Strain = f A 1 Y u ∝ 1 A 2 u 1 u 2 = A 2 2 A 1 2 = 4 π r 2 π r 2 2 u 1 u 2 = 16 1

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