question_answer

After absorbing a slowly moving neutron of mass \[{{m}_{N}}\] (momentum\[\approx 0\]) a nucleus of mass M breaks into two nuclei masses \[{{m}_{1}}\] and \[5{{m}_{1}}\]\[(6{{m}_{1}}=M\,+{{m}_{N}})\] respectively. If the de Broglie wavelength of the nucleus with mass \[{{m}_{1}}\] is \[\lambda ,\] the de Broglie wavelength of the nucleus will be

A)  \[5\lambda \]

B)  \[\lambda /5\]

C)  \[\lambda \]

D)  \[25\lambda \]