Green light has a wavelength of 4.96 10-7 m and travels through the air at a speed of 3.00 108 m/s. Calculate the period of green light waves with this wavelength.
s
What is the frequency?
Hz
L = 3*10^8m/s * T = 4.96*10^-7,
3*10^8 * T = 4.96*10^-7,
T = 1.6533*10^-15s.
F = 1/T = 1 / 1.6533*10^-15 = 6.048*10^14Hz.
To calculate the period of green light waves with a wavelength of 4.96 x 10^(-7) m, you can use the formula:
Period = 1 / Frequency
We can rearrange this equation to solve for the frequency:
Frequency = 1 / Period
First, let's calculate the period. We know that the speed of light in a vacuum (or air) is approximately 3.00 x 10^8 m/s. The formula for calculating the speed of a wave is:
Speed = Wavelength x Frequency
Rearrange the equation to solve for the frequency:
Frequency = Speed / Wavelength
Now, substitute the given values into the equation:
Frequency = (3.00 x 10^8 m/s) / (4.96 x 10^(-7) m)
To divide these values, we can change the division operation into multiplication by taking the reciprocal of the denominator:
Frequency = (3.00 x 10^8 m/s) x (1 / (4.96 x 10^(-7) m))
Now simplify the expression:
Frequency = (3.00 x 10^8 m/s) x (2.02 x 10^6)
Multiply the numbers:
Frequency = 6.06 x 10^14 Hz
Therefore, the frequency of green light waves with a wavelength of 4.96 x 10^(-7) m is approximately 6.06 x 10^14 Hz.