# Behavior of Photoelectrons

• chef99
In summary, when low intensity light is shone on a metal, it does not release any photoelectrons. If the light is made brighter, the number of photoelectrons emitted will increase. However, if the frequency of the light is gradually increased, then photoelectrons will be emitted.f

## Homework Statement

Use Max Planck’s quantum theory to explain the following behavior of photoelectrons.

a) Low-intensity light does not release any photoelectrons. What will happen if the light is made brighter? Explain your reasoning

b) Low-intensity light releases photoelectrons. What will happen if the light is made brighter? Explain your reasoning.

c) Low-intensity light does not release any photoelectrons. What will happen if the frequency of the light is gradually increased? Explain your reasoning.

2. Homework Equations

n/a

## The Attempt at a Solution

a)[/B]
For a metal to emit photoelectrons, the frequency of the light must be above the threshold frequency of the metal. Since this light doesn’t emit any photoelectrons, its frequency must be below the metal’s threshold frequency. Therefore, making the light brighter will still not produce any photoelectrons from the metal.

b)
Since this low-intensity light emits photoelectrons, its frequency is above the threshold frequency. If the brightness is increased, the intensity is also increased, meaning the number of photoelectrons emitted will increase.

c)
If the frequency is increased past the threshold frequency, then the light will begin to emit photoelectrons.

I feel I might be mixing something up here, as my answers to b and c seem very similar. I don't know if they are supposed to. Any help here would be great.

b) Low-intensity light releases photoelectrons. What will happen if the light is made brighter? Explain your reasoning.
<snip>
Since this low-intensity light emits photoelectrons, its frequency is above the threshold frequency. If the brightness is increased, the intensity is also increased, meaning the number of photoelectrons emitted will increase.

Are you thinking that making the light brighter means increasing the number of photons or the energy of the photons?

Are you thinking that making the light brighter means increasing the number of photons or the energy of the photons?

Yes, but that is what I am confused about. Initially, I thought the brightness doesn't have an effect on frequency, which I know does have an effect on the energy of photons. Everything I have been able to find has said that increasing the brightness means increasing the intensity, which I believe would also increase the number of photons emitted. However, this is just what I've been able to research, as I initially didn't know the answer.
From what I understand, increasing frequency increasing the energy of the photons, and increasing the intensity increases the number of photons. Is that correct?

I think the textbook question is a little ambiguous, but I might be overlooking a convention I have not noticed before.

The text I usually work from discusses this in the context of Einstein's experiments, and that description specifies that he increased the intensity at a constant frequency. Unless your text's discussion indicates otherwise, the way the question is structured leaves me confident the intent is that the light is made brighter while keeping the frequency constant.

I think the textbook question is a little ambiguous, but I might be overlooking a convention I have not noticed before.

The text I usually work from discusses this in the context of Einstein's experiments, and that description specifies that he increased the intensity at a constant frequency. Unless your text's discussion indicates otherwise, the way the question is structured leaves me confident the intent is that the light is made brighter while keeping the frequency constant.