Which of the following is true for the transition of electrons from a higher energy to a lower energy state?
Choose one answer.
a. The greater the energy difference between the levels, the more is the wavelength of the photons emitted.
b. The greater the energy difference between the levels, the less is the wavelength of the photons emitted.
c. The greater the energy difference between the levels, the less is the frequency of the photons emitted.
d. The energy difference is not related to frequency or wavelength of the photons emitted.
E=hf=hc/lambda
lambda= hc/Energy
Surely you can figure out what happens to lambda as energy changes.
nothin happens
is it b
of course, b
To determine which option is true for the transition of electrons from a higher energy state to a lower energy state, let's understand the concepts involved.
When an electron transitions from a higher energy level to a lower energy level, it releases energy in the form of a photon. The energy of a photon is directly related to its frequency and inversely related to its wavelength, according to the equation:
E = hf = (hc) / λ
Where:
E represents the energy of the photon,
h is Planck's constant (a fundamental physical constant),
f is the frequency of the photon,
c is the speed of light,
and λ (lambda) is the wavelength of the photon.
Now, let's analyze the given options:
a. The greater the energy difference between the levels, the more is the wavelength of the photons emitted.
This statement is incorrect because as the energy difference increases, the wavelength of the emitted photons will actually decrease, according to the equation mentioned earlier.
b. The greater the energy difference between the levels, the less is the wavelength of the photons emitted.
This statement is correct. According to the equation, as the energy difference between the levels increases, the wavelength of the emitted photons decreases.
c. The greater the energy difference between the levels, the less is the frequency of the photons emitted.
This statement is incorrect. The frequency of the photons is directly proportional to the energy difference. As the energy difference increases, the frequency of the emitted photons also increases.
d. The energy difference is not related to frequency or wavelength of the photons emitted.
This statement is incorrect because the energy difference between energy levels directly influences both the frequency and wavelength of the emitted photons.
Therefore, the correct option is:
b. The greater the energy difference between the levels, the less is the wavelength of the photons emitted.