The wavelength and energy of light that has a frequency of 1.6 x 10¹⁵ Hz is 1.875 x 10⁻⁷ m and 10.6 x 10⁻¹⁹ J.
The distance between the adjacent crest or trough of the sinusoidal wave.
Given is the frequency f = 1.6 x 10¹⁵ Hz, the speed of the light c = 3 x 10⁸ m/s, then the wavelength will be
λ = c/f
Substitute the values, we get
λ =3 x 10⁸ / 1.6 x 10¹⁵
λ = 1.875 x 10⁻⁷ m
Energy of light E = hc /λ
Where h is the Planck's constant = 6.626 x 10⁻³⁴ J.s
Substitute the values in the energy expression, we get
E =(6.626 x 10⁻³⁴ x 3 x 10⁸) / 1.875 x 10⁻⁷
E =10.6 x 10⁻¹⁹ J
Thus, the wavelength and energy of the light of given frequency is 1.875 x 10⁻⁷ m and 10.6 x 10⁻¹⁹ J.
Learn more about wavelength.
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