Two particles having de-Broglie wavelengths `lambda_(1) ` and `lambda_(2)`, while moving along mutually perpendicular directions, undergo perfectly inelastic collision. The de-Broglie wavelength `lambda`, of the final particle is

Options

A. `lambda = ( lambda_(1) lambda_(2))/( sqrt( lambda_(1)^(2) + lambda_(2)^(2)))`
B. `lambda= sqrt( lambda_(1)lambda_(2))`
C. `lambda = sqrt( lambda_(1) + lambda_(2))`
D. `lambda= (lambda_(1)+lambda_(2))/(2)`

Answer

A