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Q. 18

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

Two adjacent energy levels of an electron in a harmonic potential well are known to be and . What is the spring constant of the potential well?

The spring constant for potential well=

See the step by step solution

Step by Step Solution

Step 1. Given information

Energy level of quantum harmonic oscillator =

Here,

denotes the state,

= reduced Planck's constant and

classical angular frequency.

Adjacent energy level=

Step 2. For the angular frequency 

Step 3. For spring constant

Here,

spring constant of the potential well

electron mass.

Thus, the spring constant for potential well =

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