Everything was going well with the book testing until we came to Compton scattering which, if you remember, is what happens when a massless photon bumps into an electron, the momentum of which sends the electron off in one direction while the photon bounces off in another with an increased wavelength. Which I think means that some of the energy in the photon is transferred to the electron.
“But mum, that can't happen because if the photon doesn't have any mass then it can't have momentum 'cos momentum is a function of mass and velocity. It said so on the Discovery channel.”
For a moment I am transported back to the scene in Babe movie, when the little girl is presented with a beautiful dolls house lovingly crafted for her by her grandfather. She takes one look, bursts into tears and wails, “But I wanted the one I saw on the television!!!”
I try to snap myself back to the present moment.
“But it does happen. Apparently.”
“Then in that case the photon does have mass!”
“But as far as we can tell, the photon doesn't have mass. So somewhere there is obviously a problem with the way we are understanding things. Where do you think the problem could be?”
“Well either the photon does really have mass, like I said, or the definition of momentum is all wrong.”
He was obviously seriously unhappy with the thought that the model of momentum he'd built up might not be right. And he was finding it very difficult to accept that anything he'd seen on the television could possibly be wrong.
“Do you remember when you were learning about electricity and you came across the idea of 'conventional current'?”
“Yeah. They didn't know which way the electricity flowed around the circuit so they just guessed so they could carry on figuring things out and then years later they found out that they'd got it the wrong way round and that in fact it flowed the other way round to what they thought it did but it didn't matter because the stuff they'd learned and the circuits they'd built still worked so they just called the way it went round the wrong way 'conventional current' as their way of admitting they'd got it wrong and carried on as if they'd got it right in the first place.”
“Yes that's right dear.”
At least, I thought it was. It was an awfully long spiel from my usually monosyllabic offspring.
“So you see sometimes when you don't know something you just have to take a best guess and see how far that idea gets you. But you should always remember that sometimes our best guesses are wrong and be prepared to change them if necessary.”
“Well what could be wrong about it?” he asked.
“Well what does your definition of momentum involve?”
“Mass and velocity”
“And it needs both?”
“Yes.”
“And what is the velocity of a photon?”
“The speed of light, duh!”
“Oh yeah. And what does E = mc² mean?”
“It means that energy can be expressed as a function of mass and the speed of light. See, look! It's what it says!”
“A bit like momentum then?”
“Doh!”
He clapped his hand on his forehead in true Homer Simpson style before continuing.
“So momentum is just another way of describing the energy in something. A photon doesn't need mass as all its energy is in its speed. They didn't realise and they tagged the momentum label onto the wrong thing. Silly beggers.”
“That's right dear.”
Wow, I wasn't expecting that lot! It seems that even twelve-year-olds don't like having to de-construct their mental models of the way things work
Christopher Weeks wrote:I have grown-from-seed 6-7 year old trees that are 12-15' tall and haven't produced any blooms yet. When do full-sized trees start making fruit?