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The ground state energy of an electron confined to a box 1Å wide is.
  • a)
    6.016 × 10–20 J
  • b)
    2.016 × 10–18 J
  • c)
    5.02 × 10–18 J
  • d)
    6.016 × 10–18 J
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ground state energy of an electron confined to a box 1Åwide ...
We have, m = 9.1 × 10–31 kga = 1 × 10–10 m
Since energy of electron in nth state is given by

For ground state, 

 
E1 = 6.016 × 10–18 J
The correct answer is: 6.016 × 10–18 J
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Most Upvoted Answer
The ground state energy of an electron confined to a box 1Åwide ...
The ground state energy of an electron confined to a one-dimensional box of length L is given by the equation:

E = (h^2 * n^2) / (8mL^2)

Where:
- E is the ground state energy
- h is the Planck's constant
- n is the quantum number (n=1 for the ground state)
- m is the mass of the electron
- L is the length of the box

It's important to note that this equation assumes that the potential energy inside the box is zero, and the electron is not subject to any external forces.
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The ground state energy of an electron confined to a box 1Åwide is.a)6.016 × 10–20Jb)2.016 × 10–18Jc)5.02 × 10–18Jd)6.016 × 10–18JCorrect answer is option 'D'. Can you explain this answer?
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