A nucleus $A$, with a finite de-Broglie wavelength $\lambda_A$, undergoes spontaneous fission into two nuclei $B$ and $C$ of equal mass. $B$ flies in the same direction as that of $A$, while $C$ flies in the opposite direction with a velocity equal to half of that of $B$. The de-Broglie wavelength $\lambda_B$ and $\lambda_C$ of $B$ and $C$ are respectively:
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