Answer:
The speed of the light ray is halved
Explanation:
The index of refraction of a medium is the ratio between the speed of light in a vacuum (c) and the speed of light in the medium (v):
[tex]n=\frac{c}{v}[/tex]
For medium X, we have
[tex]n_x=\frac{c}{v_x}[/tex] (1)
For medium Y, we have
[tex]n_y=\frac{c}{v_y}[/tex] (2)
Dividing (1) by (2), we find
[tex]\frac{n_x}{n_y}=\frac{v_y}{v_x}[/tex] (3)
In this problem, the index of refraction of medium Y is twice as great as the index of refraction of medium X:
[tex]n_y = 2 n_x[/tex]
Substituting this into eq.(3), we get
[tex]\frac{n_x}{2n_x}=\frac{v_y}{v_x}\\v_y = \frac{v_x}{2}[/tex]
So, as a light ray travels from medium X into medium Y, the speed of the light ray is halved.
From the calculation, the speed of the light ray is halved.
The term refractive index refers to the ratio of the speed of light in one medium to the speed of light in another medium. We are told that the speed of light in medium Y is twice as great as the absolute index of refraction of medium X.
Let;
refractive index of X be nx
refractive index of y be ny
speed of light in x by vx
speed of light in y be vy
nx/ny = vx/vy
But ny = 2nx
nx/2nx = vx/vy
1/2 = vx/vy
vy = vx/2
Hence, we can see that the speed of the light ray is halved.
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