If
3
4
and
2
3
are respectively the absolute refractive indices of water and glass, then the refractive index of glass relative to water is
- A9
8
- B8
9
- C3
4
- D4
3
Solution & Step-by-step Explanation
Let the absolute refractive index of water be n
w
=
3
4
and that of glass be n
g
=
2
3
.
The relative refractive index of glass with respect to water (
w
n
g
) is given by the ratio of the absolute refractive index of glass to the absolute refractive index of water:
w
n
g
=
n
w
n
g
Substitute the given fractional values:
w
n
g
=
3
4
2
3
=
2
3
×
4
3
=
8
9
w
=
3
4
and that of glass be n
g
=
2
3
.
The relative refractive index of glass with respect to water (
w
n
g
) is given by the ratio of the absolute refractive index of glass to the absolute refractive index of water:
w
n
g
=
n
w
n
g
Substitute the given fractional values:
w
n
g
=
3
4
2
3
=
2
3
×
4
3
=
8
9