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Question: Answered & Verified by Expert
If potential energy function for the force between two atoms in a diatomic molecule is approximately given by Ux=ax8-bx4, where a and b are constants in standard SI units and x is in metres. Find the dissociation energy of the molecule (in J). [Take a=4 J m8 and b=20 J m4]
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Solution:
1895 Upvotes Verified Answer
The correct answer is: 25
U(x)=4x8-20x4
 dUdx=0    -8×4x9+20×4x5
  4x520-8x4=0
x= and x4=820
Also d2Udx2=+ve  at  x4=820
  Umin=4x41x4-5=4×208208-5
  Umin=-4×208×208=-25  J
Dissociation energy =Uinfinite-Umin=25 J

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