JEE · NEET Previous Year Question

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 wavelengths ${\lambda }_B$ and ${\lambda }_C$ of $B$ and $C$ are respectively:

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.