A particle moves in a closed orbit around the origin, due to a force which is directed towards the origin. The de-Broglie wavelength of particle varies cyclically between two values $(λ_1), (λ_2)$ with $(λ_1 > λ_2)$ then, the correct statement from the following are:
Answer & explanation
Correct answer: option 2
The correct answer is option (2) : The particle could be moving in an elliptical orbit with origin as its focus.
de-Broglie wavelength of a moving particle $\lambda =\frac{h}{mv} \,\,\, \lambda_1> \lambda_2$ it means $v_1 > v_2$ velocity of the particle will be greater at nearer point on a elliptical orbit.