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JEE Main Physics question

PhysicsWork, Energy and PowerJEE Main

The potential energy function for the force between two atoms in a diatomic molecule is approximately given by U(x) = a/x¹² − b/x⁶, where a and b are constants and x is the distance between the atoms. If the dissociation energy of the molecule is D = [U(x=∞) − equilibrium], D is

Answer: (C)

Solution

At equilibrium, F = −dU/dx = 0 ⟹ 12a/x¹³ = 6b/x⁷ ⟹ x⁶ = 2a/b. = a/x¹² − b/x⁶ =

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Question ID VK-153583