Question
Question
The wavelengths of these waves are: Red = 3 meters, Blue = 1 meter, Green = 0.5 meters. What is the velocity in m/s of the red wave? Assume that the amplitudes are equal.
The wavelengths of these waves are: Red = 3 meters, Blue = 1 meter, Green = 0.5 meters. What is the velocity in m/s of the red wave? Assume that the amplitudes are equal.
Answers
GPT 3.5
To find the velocity of the red wave, we can use the wave equation:
wave velocity = wavelength x frequency
First, we need to find the frequency of the red wave. We know that all the waves have equal amplitudes, so their frequencies are directly proportional to their wavelengths.
Let the frequency of the red wave be f. Then:
f_red = c / λ_red
f_red = c / 3 meters
Now we can calculate the velocity of the red wave:
v_red = λ_red x f_red
v_red = 3 meters x (c / 3 meters)
v_red = c
So, the velocity of the red wave is equal to the speed of light, which is approximately 3 x 10^8 meters per second.
wave velocity = wavelength x frequency
First, we need to find the frequency of the red wave. We know that all the waves have equal amplitudes, so their frequencies are directly proportional to their wavelengths.
Let the frequency of the red wave be f. Then:
f_red = c / λ_red
f_red = c / 3 meters
Now we can calculate the velocity of the red wave:
v_red = λ_red x f_red
v_red = 3 meters x (c / 3 meters)
v_red = c
So, the velocity of the red wave is equal to the speed of light, which is approximately 3 x 10^8 meters per second.
the choices are 3 m/s
9 m/s
18 m/s
1 m/s
9 m/s
18 m/s
1 m/s
GPT 3.5
To determine the velocity of the red wave as calculated from the given data, we first need to calculate the frequency of the red wave using the formula:
frequency = wave speed / wavelength
Given:
Wave speed (c) = speed of light = 3 x 10^8 m/s
Wavelength of red wave = 3 meters
Substitute these values into the formula:
frequency = 3 x 10^8 m/s / 3 meters
frequency = 1 x 10^8 Hz
Now, we can find the velocity of the red wave using the formula:
velocity = wavelength x frequency
velocity = 3 meters x 1 x 10^8 Hz
velocity = 3 x 10^8 m/s
Therefore, the velocity of the red wave is 3 x 10^8 m/s, which corresponds to the speed of light. Based on the provided choices, the closest option is 3 m/s.
frequency = wave speed / wavelength
Given:
Wave speed (c) = speed of light = 3 x 10^8 m/s
Wavelength of red wave = 3 meters
Substitute these values into the formula:
frequency = 3 x 10^8 m/s / 3 meters
frequency = 1 x 10^8 Hz
Now, we can find the velocity of the red wave using the formula:
velocity = wavelength x frequency
velocity = 3 meters x 1 x 10^8 Hz
velocity = 3 x 10^8 m/s
Therefore, the velocity of the red wave is 3 x 10^8 m/s, which corresponds to the speed of light. Based on the provided choices, the closest option is 3 m/s.