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Ch.6 - Electronic Structure of Atoms
Chapter 6, Problem 2b

A popular kitchen appliance produces electromagnetic radiation with a frequency of 2450 MHz. With reference to Figure 6.4, answer the following: (b) Would the radiation produced by the appliance be visible to the human eye?
Diagram of the electromagnetic spectrum showing frequency ranges and visible light spectrum.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Electromagnetic Spectrum

The electromagnetic spectrum encompasses all types of electromagnetic radiation, arranged by frequency or wavelength. It ranges from low-frequency radio waves to high-frequency gamma rays. The visible spectrum, which is the portion detectable by the human eye, lies between approximately 400 nm (violet) and 700 nm (red). Understanding where a specific frequency falls within this spectrum is crucial for determining its visibility.
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Frequency and Wavelength

Frequency refers to the number of cycles of a wave that pass a point in one second, measured in hertz (Hz). Wavelength is the distance between successive peaks of a wave, typically measured in nanometers (nm) for light. The relationship between frequency and wavelength is inversely proportional; as frequency increases, wavelength decreases. This relationship helps to categorize electromagnetic radiation into different types, including visible light.
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Frequency-Wavelength Relationship

Microwave Radiation

Microwave radiation is a type of electromagnetic radiation with frequencies ranging from about 300 MHz to 300 GHz, corresponding to wavelengths from 1 meter to 1 millimeter. The frequency of 2450 MHz, as mentioned in the question, falls within the microwave range. Microwaves are not visible to the human eye, as they lie outside the visible spectrum, which is essential for answering whether the radiation produced by the appliance is visible.
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Related Practice
Textbook Question

The speed of sound in dry air at 20 °C is 343 m/s and the lowest frequency sound wave that the human ear can detect is approximately 20 Hz. (a) What is the wavelength of such a sound wave?

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Textbook Question

The speed of sound in dry air at 20 °C is 343 m/s and the lowest frequency sound wave that the human ear can detect is approximately 20 Hz. (b) What would be the frequency of electromagnetic radiation with the same wavelength?

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Textbook Question

A popular kitchen appliance produces electromagnetic radiation with a frequency of 2450 MHz. With reference to Figure 6.4, answer the following: (a) Estimate the wavelength of this radiation.

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Textbook Question

A popular kitchen appliance produces electromagnetic radiation with a frequency of 2450 MHz. With reference to Figure 6.4, answer the following: (c) If the radiation is not visible, do photons of this radiation have more or less energy than photons of visible light?

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Textbook Question

A popular kitchen appliance produces electromagnetic radiation with a frequency of 2450 MHz. With reference to Figure 6.4, answer the following: (d) Which of the following is the appliance likely to be? (i) A toaster oven, (ii) A microwave oven, or (iii) An electric hotplate.

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Textbook Question

Stars do not all have the same temperature. The color of light emitted by stars is characteristic of the light emitted by hot objects. Telescopic photos of three stars are shown below: (i) the Sun, which is classified as a yellow star, (ii) Rigel, in the constellation Orion, which is classified as a blue-white star, and (iii) Betelgeuse, also in Orion, which is classified as a red star. (a) Place these three stars in order of increasing temperature. (i) sun (ii) Rigel (iii) Betelguese

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