The speed of light in air is 3 × 10^{8} m/s. In medium X its speed is 2 × 10^{8} m/s and in medium Y the speed of light is 2.5 × 10^{8} m/s Calculate:

(*a*) _{air} *n _{x}*

(

*b*)

_{air}

*n*

_{Y}(

*c*)

_{x}

*n*

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#### Solution

(a) _{air} *n _{x}* = (Speed of light in air) / (Speed of light in medium X)

= (3 × 10

^{8}) / (2 × 10

^{8})

= 1.5

(b)

_{air}

*n*(Speed of light in air) / (Speed of light in medium Y)

_{Y = }= (3 × 10

^{8}) / (2.5 × 10

^{8})

= 1.2

(c)

_{x}

*n*(Speed of light in medium X) / (Speed of light in medium Y)

_{Y}_{ = }= (2 × 10

^{8}) / (2.5 × 10

^{8})

= 0.8

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