Steps in calculating or solving the speed, wavelength, frequency and energy of the waves. Sample problem 1: Consider an electromagnetic wave that has a wavelength of 3 meters. Its speed, like the speed of all electromagnetic waves, is 3.0 x 108 meters per second.
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Answer:
To calculate or solve for the speed, wavelength, frequency, and energy of a wave, you can use the following formulas:
1. Speed (v) of a wave:
Speed (v) = Wavelength (λ) x Frequency (f)
2. Wavelength (λ) of a wave:
Wavelength (λ) = Speed (v) / Frequency (f)
3. Frequency (f) of a wave:
Frequency (f) = Speed (v) / Wavelength (λ)
4. Energy (E) of a wave:
Energy (E) = Planck's constant (h) x Frequency (f)
Now, let's solve the sample problem:
Given:
Wavelength (λ) = 3 meters
Speed (v) = 3.0 x 10^8 meters per second
To find the frequency (f), we can use the formula:
Frequency (f) = Speed (v) / Wavelength (λ)
Substituting the given values:
f = (3.0 x 10^8 m/s) / 3 m
f = 1.0 x 10^8 Hz
So, the frequency of the electromagnetic wave is 1.0 x 10^8 Hz.
To find the energy (E), we can use the formula:
Energy (E) = Planck's constant (h) x Frequency (f)
The value of Planck's constant (h) is approximately 6.626 x 10^-34 J·s.
Substituting the values:
E = (6.626 x 10^-34 J·s) x (1.0 x 10^8 Hz)
E = 6.626 x 10^-26 J
Therefore, the energy of the electromagnetic wave is approximately 6.626 x 10^-26 Joules.