Question

as changes in energy levels of electrons increase, the frequencies of atomic line spectra they emit

remain the same
decrease
increase
cannot be determined

Explanation:

Step1: Recall Planck's equation

The energy of a photon is given by \(E = h
u\), where \(E\) is the energy, \(h\) is Planck's constant (\(h= 6.626\times10^{-34}\space J\cdot s\)), and \(
u\) is the frequency.

Step2: Analyze the relationship between energy and frequency

Since \(h\) is a constant, if the energy \(E\) of electrons (which is related to the energy of the emitted photons) increases, and \(E\propto
u\) (from \(E = h
u\)), then the frequency \(
u\) must increase.

Answer:

increase