The potential energy between two atoms of a molecule is given by U(x) = a/x^12 – b/x^6 , where a and b are constants. For stable equilibrium of atom, the value of x is

Q: The potential energy between two atoms of a molecule is given by $ U(x) = \frac{a}{x^12} – \frac{b}{x^6} $ , where a and b are constants. For stable equilibrium of atom, the value of x is

(a) $(\frac{a}{2 b})^{1/6}$

(b) $(\frac{2 a}{b})^{1/6}$

(c) $(\frac{11 a}{5 b})^{1/6}$

(d) Zero

Ans: (b)