3. Yellow light travels through a glass block at a speed of 1.97x108 m/s. The wavelength of the light in this type of glass is 3.81x10-7 m. What is the frequency of yellow light?
L = V*(1/F) = V/F
F = V/L = 1.97*10^8/3.81*10^-7 Hz.
To find the frequency of yellow light, we can use the formula:
c = λν
Where:
c is the speed of light,
λ is the wavelength of the light, and
ν is the frequency of the light.
Given:
Speed of light (c) = 3.0 × 10^8 m/s (approximate value from the question)
Wavelength (λ) = 3.81 × 10^-7 m
Rearranging the formula to solve for frequency (ν), we have:
ν = c / λ
Substituting the given values:
ν = (3.0 × 10^8 m/s) / (3.81 × 10^-7 m)
Calculating the result:
ν = 7.881366 mm/s
Therefore, the frequency of the yellow light is 7.88 × 10^14 Hz.
To find the frequency of yellow light, we can use the equation:
v = λ * f
where v is the speed of light in a medium, λ is the wavelength, and f is the frequency.
Given:
Speed of light in glass (v) = 1.97x10^8 m/s
Wavelength of yellow light in glass (λ) = 3.81x10^-7 m
To find the frequency (f), we need to rearrange the equation:
f = v / λ
Substituting the given values:
f = (1.97x10^8 m/s) / (3.81x10^-7 m)
To divide these values, we need to keep the same base unit, so we convert the denominator to seconds:
f = (1.97x10^8 m/s) / (3.81x10^-7 m * 1 s/1 m)
Now, we can simplify the equation:
f = 1.97x10^8 / 3.81x10^-7 s^-1
To divide these values, we can subtract their exponents:
f = 1.97x10^(8 - (-7)) s^-1
f = 1.97x10^15 s^-1
Therefore, the frequency of the yellow light in this type of glass is 1.97x10^15 Hz.