Light is an electromagnetic wave and travels at a speed of 3.00 108 m/s. The human eye is most sensitive to yellow-green light, which has a wavelength of 5.58 10-7 m. What is the frequency of this light?
Ever heard of the equation
(wavelength) x (frequency) = wave speed?
Use it to get the answer.
Yes, we can use the equation:
(wavelength) x (frequency) = wave speed
We are given the wavelength (5.58 x 10^-7 m) and the wave speed (3.00 x 10^8 m/s), and we need to find the frequency. We can rearrange the equation to solve for frequency:
frequency = wave speed / wavelength
frequency = (3.00 x 10^8 m/s) / (5.58 x 10^-7 m)
frequency = 5.38 x 10^14 Hz
So the frequency of yellow-green light is approximately 5.38 x 10^14 Hz.
Yes, I am familiar with the equation you mentioned. The equation relates the wavelength of a wave to its frequency and the wave speed. We can rearrange the equation to solve for frequency:
Frequency = Wave speed / Wavelength
Given:
Wave speed = 3.00 x 10^8 m/s
Wavelength = 5.58 x 10^-7 m
Substituting these values into the equation, we get:
Frequency = (3.00 x 10^8 m/s) / (5.58 x 10^-7 m)
To simplify the calculation, we can divide the numerator and denominator by 10^-7:
Frequency = (3.00 x 10^8 m/s) / (5.58 x 10^-7 m) x (10^7 / 10^7)
Frequency = (3.00 x 10^15 s^-1) / (5.58 x 10)
Simplifying further, we get:
Frequency ≈ 5.38 x 10^14 Hz
Therefore, the frequency of yellow-green light is approximately 5.38 x 10^14 Hz.
Yes, I am familiar with the equation you mentioned. The equation you are referring to is the wave equation, which states that the product of the wavelength and the frequency of a wave is equal to the wave's speed.
In this case, we are given the speed of light, which is 3.00 x 10^8 m/s, and the wavelength of yellow-green light, which is 5.58 x 10^-7 m. We need to calculate the frequency of this light.
To solve for frequency, we can rearrange the equation to solve for it. Divide both sides of the equation by wavelength:
frequency = wave speed / wavelength
Substituting the known values, we have:
frequency = (3.00 x 10^8 m/s) / (5.58 x 10^-7 m)
Now we can simplify and calculate the frequency:
frequency = 5.38 x 10^14 Hz
Therefore, the frequency of yellow-green light is approximately 5.38 x 10^14 Hz.