We don't allow Google in the house on account of it not being house trained. But anyway, they didn't answer the question: lots of good stuff about why the kettle makes a noise, but nothing about why a pan (with lid on if you like!) doesnt. How often have you boiled water for your spaghetti and not realise its been on the stove boiling away for ages!? Not much noise you see...
Hmm, the pan on the stove will have a more uniform large area (the base) which is in contact with the water - the water heats more uniformly and you don't get superheating or cavitation - which makes the noise.
The kettle which often has a heating coil has a much smaller area and doesn't transfer the heat easily - hence the superheating and cavitation which is explained in the articles previously quoted.
You may find on some poor quality pans that don't distribute the heat well - especially on a low quality ceramic hob that doesn't heat evenly that you can hear some cavitation and see bubbles concentrated in a small area.
That's a good one - sounds very plausible. However, just to point out that my kettle is one which has a plate on the bottom and no physical element. So, essentially, my kettle and the pan on the stove are the same, aren't they?
Isn't this great? I think we need more questions for discussion. After all, this is probably what we would be talking about over a pint in the Hummy Arms, if there was such a place!