Q29 · CSIR-NET Chemistry, December 2016
Paper: CSIR-NET December 2016 · Subject: Physical Chemistry · Chapter: Molecular Spectroscopy · Topic: Molecular Spectroscopy – General · Marks: 2 · Difficulty: Medium
Vibrations of diatomic molecules are usually modelled by a harmonic potential. If the potential is given by $x^{2}$, the correct statement is
(a)force is $2 x$ and force constant is 2
(b)force is $-2 x$ and force constant is 2
(c)force is $2 x$ and force constant is -1
(d)force is $-2 x$ and force constant is -1
Answer
Answer: B ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation
For V = x², F = −dV/dx = −2x and the force constant k = d²V/dx² = 2.
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