For a diatomic molecule, the vibrations are often described by a quadratic potential energy function. If the potential energy (U) is given as (\( \frac{1}{2}cx^2 \)), where ( x ) represents the displacement from the equilibrium position and ( c ) is a constant, then the correct statement about the force acting on the molecule and the force constant is:
1
Force is (c) and force constant is (\( \frac{1}{2} \))
2
Force is (-cx) and force constant is (c)
3
Force is (cx) and force constant is ( \(\frac{1}{2}c\) )
4
Force is (\(-\frac{1}{2}cx\)) and force constant is (c)
5
Question Not Attempted