(a) To determine the frequency of red helium-neon laser light, we can use the formula:
c = λf
where c is the speed of light in a vacuum (3.00 x 10^8 m/s), λ is the wavelength (632.8 nm or 6.328 x 10^-7 m), and f is the frequency.
Rearranging the formula to solve for frequency:
f = c / λ
f = (3.00 x 10^8 m/s) / (6.328 x 10^-7 m)
f ≈ 4.74 x 10^14 Hz
Therefore, the frequency of red helium-neon laser light is approximately 4.74 x 10^14 Hz.
(b) To determine the wavelength of red helium-neon laser light in glass, we can use the formula:
λ_glass = λ_air / n
where λ_air is the wavelength in air and n is the index of refraction of the glass (1.5).
λ_glass = (632.8 nm) / 1.5
λ_glass = 421.87 nm
Therefore, the wavelength of red helium-neon laser light in glass is approximately 421.87 nm.
(c) To determine the speed of red helium-neon laser light in glass, we can use the formula:
v = c / n
where c is the speed of light in a vacuum (3.00 x 10^8 m/s) and n is the index of refraction of the glass (1.5).
v = (3.00 x 10^8 m/s) / 1.5
v = 2.00 x 10^8 m/s
Therefore, the speed of red helium-neon laser light in glass is approximately 2.00 x 10^8 m/s.
