A particle is moving under the force field given by F⃗ = k r⃗, where k is a positive constant. The difference in work done (in arbitrary units) if the particle moves from point A(-1, 0, 0) to point B(1, 0, 0) following semi-circular paths in the clockwise and anti-clockwise directions on the X-Y plane will be:

A diatomic molecule is modeled as two atoms of equal mass m connected by a spring of force constant k. The molecule moves in one dimension under the influence of an external potential: V(x1, x2) = 12mω02(x12 + x22) If one normal mode frequency of the molecule is ω0, then the other normal mode frequency is:

The potential energy between two particles is given by V(r) = -a/r4 + b/r10, where 'a' and 'b' are positive constants. The potential energy at equilibrium separation is: