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Two particles move at right angle to each other. Their de Broglie wavelengths are ${\lambda _1}$ and ${\lambda _2}$ respectively. The particles suffere perfectly inelastic collision. The de Broglie wavelength $\lambda $ , of the final particle, is given by

• A
  $\lambda  = \sqrt {{\lambda _1}{\lambda _2}} $
• B
  $\lambda  = \frac{{{\lambda _1} + {\lambda _2}}}{2}$
• C
  $\frac{2}{\lambda } = \frac{1}{{{\lambda _1}}} + \frac{1}{{{\lambda _2}}}$
• ✓
  $\frac{1}{{{\lambda ^2}}} = \frac{1}{{\lambda _1^2}} + \frac{1}{{\lambda _2^2}}$