Would it be possible to put a thermometer inside a microwave oven? Would the mic…

Would it be possible to put a thermometer inside a microwave oven? Would the microwaves have an effect on an electronic thermometer? Would they have an effect on a mercury thermometer? — R

This is an interesting question because it brings up the tricky issue of what is the temperature in a microwave oven. In fact, there is no specific temperature in the oven because the microwaves that do the cooking are not thermal. Rather than emerging from a hot object with a well-defined temperature, these microwaves are produced in a coherent fashion by a vacuum tube. Like the light emerging from a laser, these microwaves can heat objects they encounter as hot as you like, or at least until heat begins to escape from those objects as fast as it’s being added.

So instead of measuring the “temperature of the microwave oven,” people normally put thermometers in the food to measure the food’s temperature. This works well as long as the thermometers don’t interact with the microwaves in ways that make them either hotter or inaccurate. Electronic thermometers are common in high-end microwaves. There is nothing special about these electronic thermometers except that they are carefully shielded so that the microwaves don’t heat them or affect their readings. By “shielded,” I mean that each of these thermometers has a continuous metallic sheath that reflects the microwaves. This sheath extends from the wall of the oven’s cooking chamber all the way to the thermometer probe’s tip so that the microwaves themselves can’t enter the measurement electronics. Since the sheath reflects microwaves, the thermometer isn’t heated by the microwaves and only measures the temperature of the food it contacts.

On the other hand, putting a mercury thermometer in a microwave oven isn’t a good idea. While mercury is a metal and will reflect most of the microwaves that strike it, the microwaves will push a great many electric charges up and down the narrow column of mercury. This current flow will cause heating of the mercury because the column is too thin to tolerate the substantial current without becoming warm. The mercury can easily overheat, turn to gas, and explode the thermometer. (A reader of this web site reported having blown up a mercury thermometer just this way as a child.) Moreover, as charges slosh up and down the mercury column, they will periodically accumulate at the upper end. Since there is only a thin vapor of mercury gas above this upper surface, the accumulated charges will probably ionize this vapor and create a luminous mercury discharge. The thermometer would then turn into a mercury lamp, emitting ultraviolet light. I used microwave-powered mercury lamps similar to this in my thesis research fifteen years ago and they work very nicely.

I wear glasses for distance vision, but my near vision is good. Why is it that w…

I wear glasses for distance vision, but my near vision is good. Why is it that when I use a nearby mirror to view distant objects, I must wear my glasses to see them clearly? I should be able to see the nearby mirror well without glasses. — JFJ

When you view something in a flat mirror, you are looking at a virtual image of the object and this virtual image isn’t located on the surface of the mirror. Instead, it’s located on the far side of the mirror at a distance exactly equal to the distance from the mirror to the actual object. In effect, you are looking through a window into a “looking glass world” and seeing a distant object on the other side of that window. The reflected light reaching your eyes has all the optical characteristics of having come the full distance from that virtual image, through the mirror, to your eyes. The total distance between what you are seeing and your eyes is the sum of the distance from your eyes to the mirror plus the distance from the mirror to the object. That’s why you must use your distance glasses to see most reflected objects clearly. Even when you observe your own face, you are seeing it as though it were located twice as far from you as the distance from your face to the mirror.

I understand that to calculate the heat released or absorbed during a nuclear re…

I understand that to calculate the heat released or absorbed during a nuclear reaction you find the difference between the product mass and reactant mass and use the formula (E=mc2). But what about heat released or absorbed during a chemical reaction? The book I have says that mass is conserved during a chemical reaction, so where does the heat energy come from? — TC

While your book’s claim is well intended, it’s actually incorrect. The author is trying to point out that atoms aren’t created or destroyed during the reaction and that all the reactant atoms are still present in the products. But equating the conservation of atoms with the conservation of mass overlooks any mass loss associated with changes in the chemical bonds between atoms. While bond masses are extremely small compared to the masses of atoms, they do change as the results of chemical reactions. However even the most energy-releasing or “exothermic” reactions only produce overall mass losses of about one part in a billion and no one has yet succeeded in weighing matter precisely enough to detect such tiny changes.