Question

Light with a frequency of 5.70×10^14 Hz travels in a block of glass that has an index of refraction of 1.56. What is the wavelength of the light in the glass?

Answer 1

The wavelength of light in the glass can be calculated using the formula λ = c / f, where λ is the wavelength in the glass, c is the speed of light in a vacuum, and f is the frequency of the light.

Step-by-step explanation:

The formula to calculate the wavelength of light in a material is given by:

λ = λ0 / n

where λ is the wavelength in the material, λ0 is the wavelength in a vacuum, and n is the refractive index of the material.

In this case, the frequency of the light is given, but we need to find the wavelength in the glass. We can use the formula:

λ = c / f

where λ is the wavelength in the glass, c is the speed of light in a vacuum, and f is the frequency of the light.

Plugging in the values, we have:

λ = (3.00 x 10^8 m/s) / (5.70 x 10^14 Hz)

λ = 5.25 x 10^-7 m

Therefore, the wavelength of the light in the glass is 5.25 x 10^-7 meters.

Answer 2

QUESTION①)

✔First you have to calculate the light's speed in the glass,

You know that in the air and in the void (where the refraction index n is zero) the light's speed C corresponds to 3,0 x 10^8 m/s

So We have :

V = C/n

• V = 3,0 x 10^8/1,56
• V ≈ 1,92 x 10^8 m/s

✔ Now, you know the light's speed in glass, and you know that : the wavelength λ is the quotient of light's speed V on its frequency ν, so :

λ = V/ ν

• λ = 1,82 x 10^8/5,70 x 10^14
• λ ≈ 3.40 x 10^-7 m
• λ ≈ 340 nm