Question

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 = ∞) -Uat equilibrium ] , D is [AIEEE 2010] ​

Answer 1

HOPING THIS WILL HELP YOU PLZ MARK AS BRAINLIEST AND FOLLOW ME

Answer 2

Explanation :- U(x) = a/x¹² -b/x⁶

U(x= ∞ ) = 0

As F = -dU /dx = - [ 12a/x¹³ + 6b/x⁷]

At equilibrium , F = 0

• 12a/x¹³ = 6b/x⁷
• 12a/6b = x¹³/x⁷
• 2a/b = x⁶
• ∴ x⁶ = 2a/b

U at equiblirium = a/ (2a/b)² - b(2a/b)= -b²/4a

∴ D [ U (x= ∞ ) - U at equilibrium ] = b²/4a