Physics: Acertain kind of glass has nblue = 1.64 for blue light and nred = 1.54 for red light. if a beam of white light (containing all colors) in air is incident at an angle of 48°, what is the angle between the red and blue light inside the glass?

Newton. Representado con la N en mayúscula....

Acertain kind of glass has nblue = 1.64 for blue light

samflores236

16.03.2022

The angle between the red and blue light inside the glass is 1.9°.

Explanation:

Given that,

Refractive index

For blue = 1.64

For red = 1.54

Incident angle = 48°

We need to calculate the angle between the red and blue light inside the glass

Using Snell's law

$\dfrac{\sin_{i}}{\sin_{r}}=n$

For blue ray,

$\dfrac{\sin_{i}}{\sin_{r_{b}}}=n_{b}$

$r_{b}=\sin^{-1}\dfrac{\sin48^{\circ}}{n_{b}}$

$r_{b}=\sin^{-1}\dfrac{\sin48^{\circ}}{1.64}$

$r_{b}=26.95^{\circ}$

For red ray,

$\dfrac{\sin_{i}}{\sin_{r_{r}}}=n_{r}$

$r_{r}=\sin^{-1}\dfrac{\sin48^{\circ}}{n_{r}}$

$r_{r}=\sin^{-1}\dfrac{\sin48^{\circ}}{1.54}$

$r_{r}=28.85^{\circ}$

We need to calculate the angle between the red and blue

$r_{rb}=r_{r}-r_{b}$

Put the value into the formula

$r_{rb}=28.85-26.95$

$r_{rb}=1.9^{\circ}$

Hence, The angle between the red and blue light inside the glass is 1.9°.

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