$A$ particle is moving along the $x-$axis back and forth in a box of length $L$. Assuming the de-Broglie hypothesis is applicable for the particle,and it is moving with a constant speed in the box making perfectly elastic collisions with the walls. The possible value of the momentum of the particle is (Note: $h$ is Planck's constant,$n$ is the principal quantum number).

  • A
    $\frac{nh}{2L}$
  • B
    $\frac{nh}{L}$
  • C
    $\frac{nh}{4L}$
  • D
    $\frac{2nh}{3L}$

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