Calculate the change in energy of the hydrogen atom

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A hydrogen atom transitioning from the n = 4 level to its ground state results in a change in energy calculated using the formula E = (-2.18 x 10^-18 J)(1/1 - 1/16). The calculation yields E = -2.04378 x 10^-18 J, indicating a loss of energy during the transition. The negative value signifies that energy is released as the atom moves to a lower energy state. The discussion seeks confirmation of the calculation's accuracy and understanding of the energy change concept.
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7. A hydrogen atom makes an electronic transition from its n = 4 level to its lowest energy level. Calculate the change in energy of the hydrogen atom.

E = (-2.18 x 10^-18 J) (1/1 -1/16) + 2.04378 x 10^-18 J

Is this correct. If not, can you show me how to do it.
Thanks for the help.
 
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E = (-2.18 x 10^-18 J) (1/1 -1/16) = - 2.04378 x 10^-18 J
The answer is negative because the atome loses evergy.
 

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