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 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 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 :

The magnetic moment of an electron of charge e moving in a circular orbit of radius r with speed v is given by

Magnetic moment of an electron of charge e moving in a circular orbit of radius r with speed v is given by

The velocity v and displacement r of a body are related as v^(2) =kr , where k is a constant. The acceleration of the body is

Two satellite fo masses m and 4m orbit the earth in circular orbits of radii 4r and r respectively. The ratio of their orbital speed is

Two satellite fo masses m and 4m orbit the earth in circular orbits of radii 4r and r respectively. The ratio of their orbital speed is

The potential energy of a particle of mass ? at a distance ? from a fixed point ? is given by V(r)=kr^(2)//2 , where ? is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius ? about the point ?. If ? is the speed of the particle and ? is the magnitude of its angular momentum about ?, which of the following statements is (are) true?

The potential energy of a particle of mass ? at a distance ? from a fixed point ? is given by V(r)=kr^(2)//2 , where ? is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius ? about the point ?. If ? is the speed of the particle and ? is the magnitude of its angular momentum about ?, which of the following statements is (are) true?