After absorbing a slowly moving neutron of mass mₙ (momentum ≈ 0), a nucleus of mass M breaks into two nuclei of masses m₁ and 3m₁, where 4m₁ = M + mₙ. If the de Broglie wavelength of the m₁ fragment is λ, find the de Broglie wavelength of the other fragment.
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Question

After absorbing a slowly moving neutron of mass mₙ (momentum ≈ 0), a nucleus of mass M breaks into two nuclei of masses m₁ and 3m₁, where 4m₁ = M + mₙ. If the de Broglie wavelength of the m₁ fragment is λ, find the de Broglie wavelength of the other fragment.

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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: D: λ.