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Find the energy levels of an electron in a box 1 nm wide. Mass of electron is 9.1 × 10–31 kg. Also findthe energy levels of 10 gm marble in a box 10 cm wide.

Question

Find the energy levels of an electron in a box 1 nm wide. Mass of electron is 9.1 × 10–31 kg. Also findthe energy levels of 10 gm marble in a box 10 cm wide.
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Solution 1

The energy levels of a particle in a box can be calculated using the formula for a particle in a one-dimensional box:

E = n²h² / 8mL²

where:

  • E is the energy of the level,
  • n is the quantum number (1, 2, 3, ...),
  • h is Planck's constant (6.626 x 10^-34 J.s),
  • m is the mass of the particle, and Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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