Electromagnetic radiation behaves both as particles (called photons) and as waves. Wavelength () and frequency () are related according to the equation
where is the speed of light (). The energy ( in joules) contained in one quantum of electromagnetic radiation is described by the equation
where is Planck's constant (). Note that frequency has units of inverse seconds (), which are more commonly expressed as hertz ().
Part A
A microwave oven operates at 2.40 . What is the wavelength of the radiation produced by this appliance?
Express the wavelength numerically in nanometers. = | | |
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Part B
Two of the types of infrared light, IR-B and IR-A, are both components of sunlight. Their wavelengths range from 1400 to 3000 for IR-B and from 700 to 1400 for IR-A. Compare the energy of microwaves, IR-B, and IR-A.
Rank from greatest to least energy per photon. To rank items as equivalent, overlap them. |
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Question 2
Consider two different compounds of carbon and oxygen: carbon dioxide, , and carbon monoxide, . The number of oxygen atoms per carbon atom in is double the number of oxygen atoms per carbon atom in . So we can predict that the mass of oxygen per gram of carbon in is double the mass of oxygen per gram of carbon in . And, in fact, if other carbon-oxygen compounds existed, we could predict small, whole-number ratios for the masses of oxygen per gram of carbon in all of them.
This is exactly what John Dalton predicted for compounds using his atomic theory of matter. It came to be known as the law of multiple proportions.
Part A
There are two different compounds of sulfur and fluorine. * In , the mass of fluorine per gram of sulfur is 3.55 . * In the other compound, , the mass of fluorine per gram of sulfur is 1.18 .
What is the value of for the second compound?
Express your answer as an integer. 3.0