How much faster does light travel in a crystal with refraction index 1.48 than in another with refraction index 2.29?. Please include units
since u=c/v
uv=constant
u1v1=u2v2
v2=u1v1/u2
=1.48*v1/2.29
v2 =0.6462 * v1
that in second medium light will travell 0.6462 time faster than the first medium.
Refractive index (u) = ( speed of light in vacuum/air (c)) / (speed of light in medium ( V)
Let u1 = refractive index of crystal. = 1.48 , c = speed of light in vaccum/air = 3*108 m/s
u1 = c / V1 ( v1 = velocity of light in crystal)
V1 = c / u1 = 3*108 m/s / 1.48
V1 = 2.02*108 m/s
u2 = refractive index if other material = 2.29
V2 = velocity of light in other material
u2 = c/V2
V2 = c /u2 = 3*108 m/s / 2.29
V2 = 1.310*108 m/s
V1 /V2 = 2.02*108 / 1.310*108 = 1.541
V1 = 1.541 V2
Hence velocity of light in crystal is 1.541 times greater than velocity in other material.
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