A particle of mass m moves in circular orbits with potential energy `N(r )=Fr`, wjere F is a positive constant and r its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the the `n^(th)` orbit (here h is the Planck's constant)

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 of mass m moves around the origin in a potential (1)/(2)momega^(2)r^(2) , where r is the distance from the origin. Applying the Bohr model in this case, the radius of the particle in its n^(th) orbit in terms of a=sqrt(h//2pimomega) is

A small particle of mass m , moves in such a way that the potential energy U = ar^(3) , where a is position constant and r is the distance of the particle from the origin. Assuming Rutherford's model of circular orbits, then relation between K.E and P.E of the particle is :

A small particle of mass m moves in such a way that the potential energy U=ar^(2) where a is a constant and r is the distance of the particle from the origin. Assuming Bohr's model of quantization of angular momentum and circular orbits, find the radius of n^(th) allowed orbit.

A small particle of mass m moves in such a way that the potential energy U=(1)/(2)m omega^(2)r^(2) , where omega is a constant and r is the distance of the particle from the origin. Assuming Bohr's model of quantisation of angular momentum and circular orbits. Find the radius of the n^(th) orbit.

A small particle of mass m moves in such a way that the potential energy U = ar^2 , where a is constant and r is the distance of the particle from the origin. Assuming Bhor model of quantization of angular momentum and circular orbits, find the rodius of nth allowed orbit.

A small particle of mass m move in such a way the potential energy U = (1)/(2) m^(2) omega^(2) r^(2) when a is a constant and r is the distance of the particle from the origin Assuming Bohr's model of quantization of angular momentum and circular orbits , show that radius of the nth allowed orbit is proportional to in

If 'r' is the radius of the lowest orbit of Bohr's model of H-atom, then the radius of n^(th) orbit is

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 :