which of the following statements is true regarding electromagnetic radiation?
Options:
1. electromagnetic radiation with a wavelength of 600 nm travels faster than that with a wavelength of 400 nm.
2. the frequency of electromagnetic radiation determines how fast it travels.
3. Electromagnetic radiation with a wavelength of 400 nm travels faster than that with a wavelength of 600 nm.
4. electromagnetic radiation with a wavelength of 600 nm has a frequency that is lower than that with a wavelength of 400 nm.
5. electromagnetic radiation with a wavelength of 400 nm has a frequency that is lower than that with a wavelength of 600 nm.
The correct statement regarding electromagnetic radiation is:
5. electromagnetic radiation with a wavelength of 400 nm has a frequency that is lower than that with a wavelength of 600 nm.
To determine which statement is true, we need to understand the relationship between the wavelength and frequency of electromagnetic radiation.
Electromagnetic radiation refers to the energy that propagates through space in the form of waves, such as light, radio waves, microwaves, etc.
Wavelength (λ) is the distance between two consecutive crests or troughs of a wave. It is usually measured in meters (m), but can also be measured in other units like nanometers (nm) or angstroms (Å).
Frequency (f) refers to the number of complete wave cycles that pass a given point in one second. It is measured in hertz (Hz).
The speed of electromagnetic radiation (c) is a constant value in a vacuum and is approximately 3.00 x 10^8 meters per second (m/s).
Now, let's analyze each statement:
1. electromagnetic radiation with a wavelength of 600 nm travels faster than that with a wavelength of 400 nm.
To determine if this statement is true, we need to compare the speeds of radiation with different wavelengths. However, the speed of electromagnetic radiation is constant for all wavelengths in a vacuum, so this statement is false.
2. the frequency of electromagnetic radiation determines how fast it travels.
This statement is incorrect. The frequency of electromagnetic radiation does not determine its speed. The speed of electromagnetic radiation is determined by the medium through which it is propagating, such as vacuum, air, or a different material.
3. Electromagnetic radiation with a wavelength of 400 nm travels faster than that with a wavelength of 600 nm.
Similar to statement 1, this statement is false because the speed of electromagnetic radiation is the same for all wavelengths in a vacuum.
4. electromagnetic radiation with a wavelength of 600 nm has a frequency that is lower than that with a wavelength of 400 nm.
Frequency and wavelength are inversely proportional to each other. As wavelength increases, frequency decreases, and vice versa. Therefore, this statement is true.
5. electromagnetic radiation with a wavelength of 400 nm has a frequency that is lower than that with a wavelength of 600 nm.
This statement is false because, as mentioned in statement 4, frequency and wavelength are inversely proportional. So, if the wavelength decreases, the frequency increases.
Based on the explanations above, statement 4 is the true statement.
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c = frequency x wavelength = 3 x 10^8 m/s = constant.
That one equation should give you the answers you need.