The potential energy of a particle of mass m is given by \[V\left( x \right)=\left\{ \begin{matrix} {{E}_{0}}; & 0\le x\le 1 \\ 0; & x>1 \\ \end{matrix} \right\}\]\[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\]are the de-Broglie wavelengths of the particle, when \[0\le x\le 1\] and \[x>1\]respectively. If the total energy of particle is\[2{{E}_{0}}\], find \[{{\lambda }_{1}}/{{\lambda }_{2}}\].

The potential energy of a particle of mass m is given by \[V\left( x \

1.	The potential energy of a particle of mass m is given by \[V\left( x \right)=\left\{ \begin{matrix} {{E}_{0}}; & 0\le x\le 1 \\ 0; & x>1 \\ \end{matrix} \right\}\]\[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\]are the de-Broglie wavelengths of the particle, when \[0\le x\le 1\] and \[x>1\]respectively. If the total energy of particle is\[2{{E}_{0}}\], find \[{{\lambda }_{1}}/{{\lambda }_{2}}\].
A.	\[\sqrt{2}\]
B.	\[\sqrt{3}\]
C.	\[\sqrt{5}\]
D.	\[2\sqrt{2}\]
Answer» B. \[\sqrt{3}\]