The speed of light in air is 3.0x10^8ms/2. Calculate the refractive index of the material which the fibre is made.
Given,
Speed of light in air v1=3×108 m/sv_1=3\times 10^8\ m/sv1=3×108 m/s
Let speed of light in fibre is v2=1.8×108 m/sv_2=1.8\times 10^8\ m/sv2=1.8×108 m/s
So,
Refractive index of fibre ng=speed oflight in vacuumspeed of light in fibren_g=\dfrac{speed \ of light\ in\ vacuum}{speed\ of \ light\ in\ fibre}ng=speed of light in fibrespeed oflight in vacuum
ng=3×1081.8×108=1.67n_g=\dfrac{3\times 10^8}{1.8\times 10^8}=1.67ng=1.8×1083×108=1.67
So, Refractive Index of fibre is 1.67
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