A nucleus A, with a finite de-Broglie wavelength {{\text{\lambda}}_{\text{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 {{\text{\lambda}}_{\text{B}}} and {{\text{\lambda}}_{\text{C}}} of B and C are respectively: