Which of the following statements is incorrect? Group of answer choices The product of wavelength and frequency of electromagnetic radiation is a constant. As the energy of a photon increases, its frequency decreases. As the wavelength of a photon increases, its frequency decreases. As the frequency of a photon increases, its wavelength decreases. As the wavelength of a photon increases, its energy decreases.

Respuesta :

Answer: Option (b) is the correct.

Explanation:

It is known that energy is directly proportional to frequency.

Mathematically,              [tex]E \propto \nu[/tex]

or,                           E = [tex]h \times \nu[/tex] ............ (1)

where,     E = energy

                h = Plank's constant

              [tex]\nu[/tex] = frequency

This relation shows that higher is the energy then more will be the frequency of electrmagnetic radiation.

Also,     [tex]\nu = \frac{c}{\lambda}[/tex] ......... (2)

where,          c = speed of light

                 [tex]\lambda[/tex] = wavelength

Therefore, substituting value of [tex]\nu[/tex] from equation (2) into equation (1) as follows.

                 E = [tex]h \times \nu[/tex]

                 E = [tex]h \times \frac{c}{\lambda}[/tex]

This relation shows that higher is the energy then lower will be the wavelength.

Thus, we can conclude that as the energy of a photon increases, its frequency decreases, is incorrect statement.