Potential energy as a function of r is given by U = A r 10 - B r 5 , where r is the interatomic distance, A…

Potential energy as a function of r is given by U=Ar10-Br5, where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be :
  1. AB15
  2. BA15
  3. 2AB15
  4. B2A15

Solution

Given U=Ar10-Br5.

Now, for equilibrium, dUdr=0.

So, differentiating the given equation,

-10Ar11+5Br6=0

⇒10Ar11=5Br6⇒r5=2AB⇒r=2AB15

Asked in: JEE Main 2022 (24 Jun Shift 2)

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