Question

A particle P is formed due to a completely inelastic collision of particles x and y having de – Broglie wavelengths λₓ and λᵧ respectively. If x and y were moving in opposite directions, then the de – Broglie wavelength of P is:
(A) λₓ + λᵧ (B) (λₓλᵧ) /(λₓ+ λᵧ)
(C) (λₓλᵧ) /|λₓ - λᵧ|
(D) λₓ - λᵧ

Answer 1

Answer:

Option (C) (λₓλᵧ) /|λₓ - λᵧ|

Explanation:

By momentum conservation

P  x  −P  y  =P  p

​h / λ  x  - h  / λ y  = h  / λ p

​(λₓλᵧ) /|λₓ - λᵧ|

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Answer 2

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A particle P is formed due to a completely inelastic collision of particles x and y having de – Broglie wavelengths λₓ and λᵧ respectively. If x and y were moving in opposite directions, then the de – Broglie wavelength of P is:

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see the attachment

correct option c)

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