Chemistry, 18.12.2020 09:10 Fdl52417

A radio station has a frequency of 103.7 MHz. (1 MHz = 10^6 S-1) What is the wavelength of the radiation emitted by the station?

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Approximately $2.890\; \rm m$ (assuming that the speed of light in air is approximately $2.997 \times 10^{8}\;\rm m \cdot s^{-1}$ .)

Explanation:

The wavelength of a wave is the distance (the energy of) that wave covers in one cycle of that wave.

On the other hand, the frequency of a wave gives the number of cycles of that wave in unit time. (If the unit of frequency is $\rm Hz$ or $\rm s^{-1}$ , one unit time would be one second.)

First step: calculate the period of this wave. That's the same as finding the duration of each cycle of this wave.

The question states that the frequency of this wave is $f = 103.7 \; \rm MHz = 103.7 \times 10^{6}\; \rm s^{-1}$ . In other words, there are $103.7 \times 10^{6}$ cycle of this wave in every second.

Each of these cycle have the same length. Therefore, the duration of one such cycle would be:

$\begin{aligned} T &= \frac{1}{f} \\ &= \frac{1}{103.7 \times 10^{6}\; \rm s^{-1}} \approx 9.64320 \times 10^{-9}\; \rm s\end{aligned}$ .

That would also be the period of this wave.

Second step: using the speed of this wave, calculate the distance that this wave would travel in each period. That distance would be the wavelength of this wave.

Electromagnetic waves travel at the speed of light. In the air, that speed would be approximately $2.997 \times 10^{8}\;\rm m \cdot s^{-1}$ . That is: $v\approx 2.997 \times 10^{8}\;\rm m \cdot s^{-1}$ .

The first step shows that the period of this wave is approximately $9.64320 \times 10^{-9}\; \rm s$ . Calculate how far this wave would have covered in that much time when travelling at the speed of light in the air:

$\begin{aligned} \lambda &= v \cdot T \\ &\approx 2.997 \times 10^{8}\;\rm m \cdot s^{-1} \\ &\quad \times 9.64320 \times 10^{-9}\; \rm s \\ &\approx 2.890\; \rm m \end{aligned}$ .

In other words, the wavelength of this wave in the air would be approximately $2.890\; \rm m$ .

Answer from: Quest

pre-sliced bread is a relatively recent development in baking technology. previous to that, it was always sold in a bakery in daily-made contiguous loaves with no wrapping, and was moderately perishable, usually being used with a day or two (which is why every bakery had a discounted “day-old” bread table.) therefore, pre-sliced bread would grow stale quickly. the hard crust provided a protective layer, and once the exposed dry slice left from the previous cut was removed, the interior was still soft.

what keeps bread soft is the moisture retained in the crumb (the light spongy part that’s not crust). the reason the crust develops is the surface of the dough gets exposed to hot dry air during baking which browns the outer layer and seals it, preventing all the moisture from escaping the dough. longer exposure to air will also eventually cause your bread to lose flavor and become stale.

people were used to cutting slices as they needed them and storing bread in a specially-made wooden or metal breadbox or pail with a lid to preserve it longer, but the first automatically sliced commercial loaves were produced on july 6, 1928, in chillicothe, missouri, using a machine invented by otto rohwedder, an iowa-born, missouri-based jeweler.[1] pre-sliced bread would indeed dry out, were it not for another 20th century technology: the plastic bag. bread could now be pre-sliced, and if the enclosing bag remains sealed as much as possible, the bread will remain soft and fresh for longer than if sitting unwrapped on a shelf or enclosed in a bread box that is not air-tight. sealed packaging meant bread could also be sold on store shelves and eliminate frequent trips to a bakery.

sealing bread in a plastic bag had another effect: the moisture in the loaf will re-distribute into the crust and soften it, which is sometimes more pleasing in a sandwich - especially for children whose teeth might not yet be strong enough to tear through a hard crust. a homemade loaf of bread can be sealed in a bag overnight and the crust will become soft like store-bought sandwich bread.

these were novel changes in how bread was produced and sold, which led to the coining of the phrase “the greatest thing since sliced bread.”

Answer from: Quest

the answer is 303.15 or 303

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A radio station has a frequency of 103.7 MHz. (1 MHz = 10^6 S-1) What is the wavelength of the radi...

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