Question

The amount of energy in a photon is directly proportional to the ________________ of the electromagnetic wave, according to this equation:a) volumeb) none of these answers are correctc) directiond) motione) frequencyf) wavelength

Answer 1

Given:

$E=h\nu=hf$

Explanation:

The amount of energy in a photon is given as:

$E=h\nu=hf$

Here, E is the energy, h is Planck's constant, and ν (or f) is the frequency of the electromagnetic wave.

As h is a constant, we see that the energy E has a direct dependence on the frequency ν (or f) of the electromagnetic wave. In other words, the energy E of the photon is directly proportional to the frequency ν (or f) of the electromagnetic wave.

Final answer:

The amount of energy in a photon is directly proportional to the frequency of the electromagnetic wave.

Thus, the correct option is (e) frequency.