A ray of green light has a wavelength of 5.34 x 10-7 m. What is the frequency? (Hint: remember the speed of light!)
wave goes one wavelength in one period T
so
5.34*10^-7 = 3*10^8 (approximately) * T
T = (5.34/3) * 10^-15 seconds
f = 1/T = (30/5.34)10^14 Hz
To find the frequency of a ray of green light with a given wavelength, we can use the formula:
speed of light = wavelength x frequency
The speed of light in a vacuum is approximately 3 x 10^8 meters per second (m/s).
Given that the wavelength of the green light is 5.34 x 10^-7 m, we can substitute these values into the formula to find the frequency:
3 x 10^8 m/s = (5.34 x 10^-7 m) x frequency
Now, let's solve for the frequency:
frequency = (3 x 10^8 m/s) / (5.34 x 10^-7 m)
To simplify this expression, we can divide the numerator and denominator by 5.34:
frequency = (3 x 10^8 m/s) / (5.34 x 10^-7 m) = (3 / 5.34) x (10^8 / 10^-7)
Simplifying the expression further:
frequency = 5.6179775 x 10^15 Hz
Therefore, the frequency of the green light with a wavelength of 5.34 x 10^-7 m is approximately 5.62 x 10^15 Hz.
To find the frequency of a green light ray with a given wavelength, we can use the equation:
c = λ * f
Where:
c is the speed of light (approximately 3.00 x 10^8 m/s),
λ is the wavelength of the light ray, and
f is the frequency of the light wave.
Rearranging the equation, we can solve for f:
f = c / λ
Now, let's substitute the given values into the equation:
c = 3.00 x 10^8 m/s
λ = 5.34 x 10^-7 m
Plugging in the values, we get:
f = (3.00 x 10^8 m/s) / (5.34 x 10^-7 m)
To divide two numbers written in scientific notation, we can divide their numerical parts and subtract the exponents:
f = 5.62 x 10^14 Hz
So, the frequency of the green light ray is approximately 5.62 x 10^14 Hz.