How much faster, in meters per second, does light travel in sapphire than in diamond? See Table 33-1.

Short Answer

Expert verified

The difference in speed is 4.55×107ms.

Step by step solution

01

Definition of refractive index.

The refractive index of any medium signifies the bending ability of light in that perticular medium. Hence, the medium is more refractive, and the bending of the light in that medium will also be more.

02

Determine of change in speed of the light with the change of the medium.

From the table 33-1, we get the refractive index of diamond and sapphire as:

The refractive index of diamond isnd=2.42

The refractive index of sapphire isns=1.77

The formulae for calculating the change in velocity Δvwith the change in the medium are:

Δv=vs-vd=c1ns-1nd

Here, vsis the speed of light in the sapphire medium and vdthe speed of light in the diamond medium.

C is the speed of light in the vaccum.

Therefore,

Δv=3×10811.77-12.42=4.55×107ms

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