Test Academy | Two rods of length L₂ and coefficient of linear expansion α₂ are connected freely to a third rod of length L₁ of coefficient of linear expansion α₁ to form an isosceles triangle. The arrangement is supported on the knife edge at the midpoint of L₁ which is horizontal. The apex of the isosceles triangle is to remain at a constant distance from the knife edge if L₁/L₂ = α₂/α₁, L₁/L₂ = √(α₂/α₁), L₁/L₂ = 2α₂/α₁, L₁/L₂ = 2√(α₂/α₁)

Question

Two rods of length L₂ and coefficient of linear expansion α₂ are connected freely to a third rod of length L₁ of coefficient of linear expansion α₁ to form an isosceles triangle. The arrangement is supported on the knife edge at the midpoint of L₁ which is horizontal. The apex of the isosceles triangle is to remain at a constant distance from the knife edge if

Options :

L₁/L₂ = α₂/α₁
L₁/L₂ = √(α₂/α₁)
L₁/L₂ = 2α₂/α₁
L₁/L₂ = 2√(α₂/α₁)

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