Respuesta :
Answer:
ν = 5.45 x 10¹⁴ Hz
Explanation:
given,
wavelength of light = 550 nm
= 550 x 10⁻⁹ m
speed of light = 1.96 x 10⁸ m/s
speed of sound = 3 x 10⁸ m/s
frequency of the light = ?
we know.
[tex]v = \nu \lambda[/tex]
frequency of the light in the liquid is same as the frequency of the light in the air.
ν is the frequency of light
[tex]\nu = \dfrac{v}{\lambda}[/tex]
[tex]\nu = \dfrac{3\times 10^{8}}{550\times 10^{-9}}[/tex]
ν = 5.45 x 10¹⁴ Hz
Hence, the frequency of light in the liquid is equal to ν = 5.45 x 10¹⁴ Hz
The frequency of the light in the liquid with the given wavelength is 5.45 × 10¹⁴ Hertz .
Given the data in the question;
- Wavelength of light; [tex]\lambda a = 550nm = 5.5 * 10^{-7}m[/tex]
- Speed of light in liquid; [tex]c_L = 1.96*10^8 m/s[/tex]
Frequency of light in the liquid; [tex]f_L =\ ?[/tex]
We know that the property of light ( frequency ) does not change when it travels from one medium to another.
So the frequency of light in air = frequency of light in liquid
[tex]f = f_L[/tex]
Using the expression for the relations between wavelength, frequency and speed of light in air.
[tex]\lambda = \frac{c}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and c is the speed of light in air ( [tex]3*10^8 m/s[/tex] ).
We substitute our values into the equation
[tex]5.5*10^{-7}m = \frac{3*10^8m/s}{f} \\\\f = \frac{3*10^8m/s}{5.5*10^{-7}m}\\\\f = 5.45 * 10^{14}s^{-1}\\\\f = 5.45 * 10^{14} Hz[/tex]
Since the frequency of light in air is the same as the frequency of light in liquid.
Hence, the frequency of the light in the liquid with the given wavelength is 5.45 × 10¹⁴ Hertz .
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