A particle of masss `m` moves along a circular orbiy in cetrosymmetrical potential field `U(r )=kr^(2)//2`. Using the Bohr quantization condition, find the permissible orbital radii and energy levels ot that particle.

A particle of mass m moves in a circular orbit in a central potential field U(r )=(1)/(2) Kr^(2) . If Bohr's quantization conditions are applied , radii of possible orbitls and energy levels vary with quantum number n as :

A particle of mass m moves in a circular orbit in a central potential field U(r )=U_(0)r^(4) . If Bohr's quantization conditions are applied, radü of possible orbitals r_(n) vary with n^((1)/(alpha)) , where alpha is _________.

A particle of mass m moves in a circular orbit under the central potential field, U(r)==-C/r, where C is a positive constant. The correct radius -velocity graph of the particle's motion is.

A particle is moving in a circular path of radius a under the action of an attractive potential U = -k/(2r^(2)) .Its energy is

Two particles of identical mass are moving in circular orbits under a potential given by V(r) = Kr^(-n) , where K is a constant. If the radii of their orbits are r_(1), r_(2) and their speeds are v_(1), v_(2) , respectively, then

A particle of mass m is moving in a circular orbit of radius r in a force field given by vecF = -k/r^2 hatr . The angular momentum L of the particle about the centre varies as

A particle is moving in a circular path of radius a under the action of an attraction potential U = - (k)/(2r^(2)) . Its total energy is