A particle is in the second excited state of a one-dimensional box of length 1.0 m. What is its momentum (in kg ⋅ m/s)? A) 6.6 × 10−³⁴ B) 3.3 × 10−³⁴ C) 9.9 × 10−³⁴ D) 13 × 10−³⁴ E) cannot be solved unless mass of particle is known

Question

Quizplus · Accepted Answer

The momentum of a particle in a one-dimensional box is given by p = n * h / (2L), where n is the quantum number, h is Planck's constant (6.626 × 10^-34 Js), and L is the length of the box. For the second excited state, n = 3. Therefore, p = 3 * 6.626 × 10^-34 / (2 * 1.0) = 9.9 × 10^-34 kg⋅m/s.

A Particle Is in the Second Excited State of a One-Dimensional