Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.Conservative force & potential energyMedium2 minPYQ_2020
PhysicsMediumnumerical

If potential energy function for the force between two atoms in a diatomic molecule is approximately given byUx=ax8-bx4, whereaandbare constants in standard SI units andxis in metres. Find the dissociation energy of the molecule (inJ). [Takea=4 J m8andb=20 J m4]

Answer:
25.00
Solution:

U(x)=4x8-20x4
 dUdx=0    -8×4x9+20×4x5
  4x520-8x4=0
x=andx4=820
Alsod2Udx2=+ve  at  x4=820
  Umin=4x41x4-5=4×208208-5
  Umin=-4×208×208=-25  J
Dissociation energy=Uinfinite-Umin=25 J

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Conservative force & potential energy
2mℹ️ Source: PYQ_2020

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