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KCET2025PhysicsMechanical Properties of Solids

Two wires A and B are made of same material. Their diameters are in the ratio of 1: 2 and lengths are in the ratio of 1: 3 . If they are stretched by the same force, then increase in their lengths will be in the ratio of

Options

  1. A3: 4
  2. B2: 3
  3. C3: 2
  4. D4: 3

Correct answer

D. 4: 3

Step-by-step solution

aligned & F A = y = F AY = F r ^2 y & ₁ ₂ = ( ₁ ₂ ) ( r ₂ r ₁ )^2 & = 1 3 ( 2 1 )^2= 4 3 or 4: 3 aligned

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