What is the value of n for the level in which the electron originated?

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An electron in a hydrogen atom transitions to the n=4 level, emitting light at 114 THz, which corresponds to an energy of 0.472 eV. The calculations show that the initial level must be n=6, derived from the energy difference equations. The conversion from THz to Hz is clarified as 1 THz equals 10^12 Hz, and the conversion from joules to electron volts uses the factor of 1 eV equaling 1.6 x 10^-19 J. The discussion also addresses how to calculate the energy difference (delta E) between levels. Overall, the calculations confirm that the original level of the electron is indeed n=6.
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An electron in a hydrogen atom relaxes to the n= 4 level, emitting light of 114THz.
 
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should be n=6
E=hf = (6.63*10^-34)(114*10^12) = 7.56*10^-20J = 0.472eV
E4= -13.6/4^2
En = -13.6/n^2
delta E =En-E4=0.85-13.6/n^2
deltaE = 0.472
you will find n=6
 
Thank you so much, but i have one question:

when u did 114*10^12 was that showing the conversion factor from THz to Hz?
 
also in the first step, how did u convert from J to eV? And where did delta E come from?
 
1THz = 10^12 Hz
1eV =1.6*10^-19 J
(7,.56 *10^-20)/(1.6*10^-19) = ? eV
 
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