Respuesta :
We are given:
Wavelength of Green light (λ) = 531 nm OR 531 * 10⁻⁹ m
Speed of light (c) = 3* 10⁸ m/s
Solving for the Frequency of the wave:
We know the relation:
c = νλ
(where ν is the frequency, c is the speed of light and λ is the wavelength)
3*10⁸ = ν*(531*10⁻⁹)
ν = 3*10⁸ / 531*10⁻⁹ [dividing both sides by the wavelength]
ν = 3*10⁸*10⁹ / 531 [ since a⁻¹ = 1/a]
ν = 3*10¹⁷ / 531 [ since mᵃ * mᵇ = mᵃ⁺ᵇ]
ν = 10¹⁷ / 177
ν = 1000 * 10¹⁴ / 177 [we split the numerator to simplify]
ν = 5.65 * 10¹⁴
Hence, the frequency of Green light is 5.65 * 10¹⁴ Hz
Answer:
f = 5.6×10¹⁴ Hz
Explanation:
Given data:
Wavelength of green light = 531 nm (531×10⁻⁹ m)
Frequency of green light = ?
Solution:
Formula;
Speed of wave = wavelength × frequency
Speed of wave = 3.00×10⁸ m/s
by putting vales,
3.00×10⁸ m/s = 531×10⁻⁹ m × f
f = 3.00×10⁸ m/s / 531×10⁻⁹ m
f = 0.0056×10¹⁷ s⁻¹
f = 5.6×10¹⁴ Hz (Hz = s⁻¹)