A particle moves in a closed orbit around the origin, due to a central force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values λ₁, λ₂ with λ₁ > λ₂. Which of the following statements is/are true ?
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Question

A particle moves in a closed orbit around the origin, due to a central force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values λ₁, λ₂ with λ₁ > λ₂. Which of the following statements is/are true ?

Select all that apply

G1 Physics · Accepted Answer

Step 1: Use λ = h/p and, for non-relativistic motion, p = √(2mK). Step 2: For particles accelerated through a potential V, λ = h/√(2mqV). Step 3: Apply momentum/energy conservation if a collision is involved. Final: B: The particle could be moving in an elliptic orbit with origin as its focus.; D: When the de Broglie wavelength is λ₂, the particle is nearer the origin than when its value is λ₁..