(a) What is the frequency of light of 405 nm wavelength?
1 answer:
f = 7.4 x 10²⁰s⁻¹
Explanation:
Given parameters:
wavelength of light = 405 x 10⁻⁹m or 405nm
Unknown:
Frequency of light = ?
Solution:
We can solve this problem using the wave equation:
V = f∧
where V is the velocity of light = 3 x 10⁸m/s
f is the unknown frequency
∧ is the wavelength of light
making f the subject:
f = =
}{405 x 10
}[/tex]
f = 7.4 x 10²⁰s⁻¹
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Answer:
Here's what I get.
Explanation:
(b) Wavenumber and wavelength
The wavenumber is the distance over which a cycle repeats, that is, it is the number of waves in a unit distance.
Thus, if λ = 3 µm,
(a) Wavenumber and frequency
Since
λ = c/f and 1/λ = f/c
the relation between wavenumber and frequency is
Thus, if f = 90 THz
(c) Units
(i) Frequency
The units are s⁻¹ or Hz.
(ii) Wavelength
The SI base unit is metres, but infrared wavelengths are usually measured in micrometres (roughly 2.5 µm to 20 µm).
(iii) Wavenumber
The SI base unit is m⁻¹, but infrared wavenumbers are usually measured in cm⁻¹ (roughly 4000 cm⁻¹ to 500 cm⁻¹).
