Question: Two identical non-relativistic particles move at right angles to each other, possessing de Broglie wavelengths 1 and 2. Find the de Broglie wavelength of each

Two identical non-relativistic particles move at right angles to each other, possessing de Broglie wavelengths λ1 and λ2. Find the de Broglie wavelength of each particle in the frame of their centre of inertia.

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The options for the first part are as follows: