An α-particle with de Broglie wavelength λ₁ collides with a stationary carbon nucleus. After collision the α-particle moves in another direction with wavelength λ₂ and the carbon nucleus recoils with wavelength λ₃, as shown. Which relation is correct? Image
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Question

An α-particle with de Broglie wavelength λ₁ collides with a stationary carbon nucleus. After collision the α-particle moves in another direction with wavelength λ₂ and the carbon nucleus recoils with wavelength λ₃, as shown. Which relation is correct? Image

Options

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: A: λ₁ < λ₂.