Refractive index of glass with respect to water is (9/8) and that of g...
Refractive index of glass with respect to water:
Given that the refractive index of glass with respect to water is 9/8, we can write this as:
n(glass/water) = 9/8
Refractive index of glass with respect to air:
Given that the refractive index of glass with respect to air is 3/2, we can write this as:
n(glass/air) = 3/2
Refractive index of water with respect to air:
To find the refractive index of water with respect to air (n(water/air)), we can use the formula:
n(water/air) = n(glass/water) / n(glass/air)
Substituting the given values, we have:
n(water/air) = (9/8) / (3/2)
Simplifying this expression, we can multiply the numerator and denominator by the reciprocal of the denominator:
n(water/air) = (9/8) * (2/3)
Multiplying the numerators and denominators, we get:
n(water/air) = (9 * 2) / (8 * 3)
Simplifying further, we have:
n(water/air) = 18/24
Since 18/24 can be simplified to 3/4, the refractive index of water with respect to air is 3/4.
Therefore, the correct option is B) 4/3.
Refractive index of glass with respect to water is (9/8) and that of g...
Refractive index of glass w.r.t water/Refractive index of glass w.r.t air=(glass×air)/ (water×glass)=( 9/8)/(3/2)=3/4=Refractive index of air w.r.t water.so refractive index of water w.r.t air is 4/3.option b.
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