Test Academy | A steel wire is suspended vertically from a rigid support. When loaded with a weight in air, it extends by lₐ and when the weight is immersed completely in water, the extension is reduced to lᵥᵥ. Then the relative density of the material of the weight is lₐ/lᵥᵥ, lₐ/lₐ-lᵥᵥ, lₐ/lₐ+lᵥᵥ, lᵥᵥ/lₐ

Question

A steel wire is suspended vertically from a rigid support. When loaded with a weight in air, it extends by lₐ and when the weight is immersed completely in water, the extension is reduced to lᵥᵥ. Then the relative density of the material of the weight is

Options :

lₐ/lᵥᵥ
lₐ/lₐ-lᵥᵥ
lₐ/lₐ+lᵥᵥ
lᵥᵥ/lₐ

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