The potential energy of a particle of mass is given by V(x) = cases E_0; & 0 x 1 0; &…

PHYSICS · Subjective · A Level · Physics · Particles and radiation · Particles and radiation

Problem

The potential energy of a particle of mass

m

is given by

V(x) = \begin{cases} E_0; & 0 \le x \le 1 \\ 0; & x > 1 \end{cases}

\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

2E_0

, find

\lambda_1 / \lambda_2