A glass slab of thickness 4 cm contains the same numbers of waves as 5 cm of water when both are traversed by the same monochromatic ray of light. The refractive index of water is 4/3, what is that for glass ?

Question

A glass slab of thickness 4 cm contains the same numbers of waves as 5 cm of water when both are traversed by the same monochromatic ray of light. The refractive index of water is 4/3, what is that for glass ? (A) 5/3 (B) 5/4 (C) 16/15 (D) 3/2

Tardigrade Admin · Accepted Answer

ang= anw × wng=(4/3) × (λw/λg)=(4/3) × (5/4)=(5/3)

Q. A glass slab of thickness 4 cm contains the same numbers of waves as 5 cm of water when both are traversed by the same monochromatic ray of light. The refractive index of water is 4/3, what is that for glass ?

5/3

5/4

16/15

3/2

$^{a} n_{g} =^{a} n_{w} \times^{w} n_{g} = \frac{4}{3} \times \frac{λ _{w}}{λ _{g}} = \frac{4}{3} \times \frac{5}{4} = \frac{5}{3}$

Q. A glass slab of thickness 4 cm contains the same numbers of waves as 5 cm of water when both are traversed by the same monochromatic ray of light. The refractive index of water is 4/3, what is that for glass ?

5/3

5/4

16/15

3/2

ang​=anw​×wng​=34​×λg​λw​​=34​×45​=35​

$^{a} n_{g} =^{a} n_{w} \times^{w} n_{g} = \frac{4}{3} \times \frac{λ _{w}}{λ _{g}} = \frac{4}{3} \times \frac{5}{4} = \frac{5}{3}$