The wavelength of red light is about 7x10^-7m. The frequency of the red light reflected from a metal surface and the frequency of the vibrating electron that products it are the same. What is this frequency?
It goes 7x10^-7m at 3*10^8 m/s in one period so the period = 7*10^-7/3*10^8 and the frequency is one over the period.
4X10^15
To find the frequency of the vibrating electron that produces red light of wavelength 7x10^-7m, we can use the wave equation:
v = λf
Where:
v = speed of light (approximately 3x10^8 m/s)
λ = wavelength of the light
f = frequency of the light
Rearranging the equation to solve for frequency, we have:
f = v/λ
Plugging in the given values:
f = (3 x 10^8 m/s) / (7 x 10^-7 m)
Simplifying the expression:
f = (3 x 10^8)/(7 x 10^-7)
To divide the numbers written in scientific notation, we subtract the exponents:
f = 3 x 10^(8+7) / 7
f = 3 x 10^15 / 7
Finally, calculating the frequency gives us:
f ≈ 4.2857 x 10^14 Hz
Therefore, the frequency of the vibrating electron that produces red light is approximately 4.2857 x 10^14 Hz.
To find the frequency of the red light reflected from a metal surface, we can use the equation relating frequency, speed, and wavelength:
Frequency (f) = Speed (v) ÷ Wavelength (λ)
Given that the wavelength of red light is 7x10^-7m, we can plug this value into the equation:
f = v ÷ 7x10^-7
However, we need to know the speed of light (v) to determine the frequency. The speed of light in a vacuum is approximately 3x10^8 meters per second (m/s).
Substituting this value for the speed of light, we have:
f = (3x10^8) ÷ 7x10^-7
To simplify the calculation, we can rewrite 7x10^-7 as 7x10^7 in the denominator:
f = (3x10^8) ÷ (7x10^7)
Now, let's divide the numerator and denominator separately:
f = 3 ÷ 7 = 0.4286
Since the question asks for the frequency of the vibrating electron, we need to be aware that the frequency of the reflected light is the same as the frequency of the vibrating electron. Therefore, the frequency is approximately 0.4286 1/s (per second).