Calculate the wavelength when electron transits.

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A photon with a wavelength of 300nm is emitted when an electron transitions from -4 eV to -8 eV. If the initial state is -6 eV, the energy change to -8 eV is -2 eV. The relationship between energy and wavelength indicates that if the energy change is halved, the wavelength would double. Therefore, the expected wavelength for the transition from -6 eV to -8 eV is 600nm. Understanding the relationship between energy and wavelength is crucial for solving such problems.
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Homework Statement


A photon of wavelength 300nm is emitted from an atom when an electron makes a transition from an energy state of -4 eV to a state of -8 eV. IF the initial state had been at enerygy of -6 eV, the wavelength of the photon emitted in a transition to -8eV is..??

Homework Equations


E=hc/λ

The Attempt at a Solution


I don’t know the basis of this question, but here is my attempt. Since the change in energy from -4eV to -8eV is -4 eV and from -6ev to -8eV is -2, so the energy is halved. If E is halved, then I think λ doubles and the anwer would be 600nm (not sure)
 
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Apparently you do know the basis of the question since your reasoning is correct.

You can use the relevant equation to guide your thinking about how energy and wavelength are related. If you doubled the wavelength ##\lambda##, what would happen to E?
 
vela said:
Apparently you do know the basis of the question since your reasoning is correct.
Oh, great! I wasn’t sure I know that topic well. :oldsmile:
 
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