A particle moves in a closed orbit across the origin due to a force which is directed towards the origin. The deBroglie wavelength of the particle varies cyclically between two values λ1 and λ2 with λ1 > λ2. Which of the following statement is correct?
(1) The particle could be moving in a circular path with origin as centre
(2) The particle could be moving in an elliptical orbit with origin as it focus
(3) When the particle is having deBroglie wavelength to λ1 the particle is nearer the origin than when it value has λ2 of its deBroglie wavelength
(4) The particle is at the same distance from the origin whether having deBroglie length λ1 or λ2