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The potential energy of a particle of mass m is given by
\[U(x) = \left\{ {\begin{array}{*{20}{c}} {{E_0};} \\ {0;} \end{array}\,\,\,\begin{array}{*{20}{c}} {0 \leqslant x \leqslant 1} \\ {x > 1} \end{array}} \right.\,\,\,\,\,\,\
λ1 and λ2 are the de-Broglie wavelengths of the particle, when 0 \leq\leq 1 and x > 1 respectively. If the total energy of particle is 2E0 ,the ratio \frac{{{\lambda _1}}}{{{\lambda _2}}}  will be

a
2
b
1
c
d

detailed solution

Correct option is C

K.E.= 2 E0– E0 = E0  (for 0  x  1)  ⇒ K.E. = 2 E0 (for x > 1) ⇒

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