Quantum Physics energy between states

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SUMMARY

The discussion focuses on the quantization of energy in a spring system, specifically a 1.5kg mass vibrating with an amplitude of 3cm and a spring constant of 20N/m. The first part of the problem involves calculating the quantum number associated with the energy of the spring. The second part addresses the fractional change in energy when the quantum number n changes by 1, emphasizing that the energy difference between two states is minimal due to the large mass involved.

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  • Understanding of quantum mechanics principles
  • Familiarity with Hooke's Law and spring constants
  • Basic knowledge of energy quantization
  • Ability to perform calculations involving fractional changes
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  • Learn about energy quantization in classical systems
  • Explore the mathematical derivation of energy levels in spring systems
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frozen7
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A 1.5kg mass vibrates at an amplitude of 3cm on the end of a spring of spring constant 20N/m
(a) If the energy of the spring is quantized, find its quantum number.
(b) If n changes by 1, find the fractional change in energy of the spring.

I have solved part (a) but I could not solve part (b)

Does it mean the difference of energy between two continuous quantum?
 
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frozen7 said:
A 1.5kg mass vibrates at an amplitude of 3cm on the end of a spring of spring constant 20N/m
(a) If the energy of the spring is quantized, find its quantum number.
(b) If n changes by 1, find the fractional change in energy of the spring.
I have solved part (a) but I could not solve part (b)
Does it mean the difference of energy between two continuous quantum?

Yes, it asks for the difference in Energy between the 2 states. The energy difference you get should be very small, as the mass is quite large.
 

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