0.04 m of glass contains the same number of waves as 0.05 m of water, when monochromatic light passes through them normally. Refractive index of water is (4/3) . Refractive index of glass is

Question

0.04 m of glass contains the same number of waves as 0.05 m of water, when monochromatic light passes through them normally. Refractive index of water is (4/3) . Refractive index of glass is (A) (5/3) (B) (5/4) (C) (5/2) (D) (4/5)

Tardigrade Admin · Accepted Answer

Refractive index of glass with respect to water wng =( ng/nw) = (vw/vg) = (vλw/vλg) = (5/4) or ng = (5/4) × nw = (5/4) × (4/3) = (5/3)

Q. 0.04 m of glass contains the same number of waves as 0.05 m of water, when monochromatic light passes through them normally. Refractive index of water is $\frac{4}{3}$ . Refractive index of glass is

$\frac{5}{3}$

$\frac{5}{4}$

$\frac{5}{2}$

$\frac{4}{5}$

Refractive index of glass with respect to water
$_{w} n^{g} = \frac{^{n} g}{n _{w}} = \frac{v _{w}}{v _{g}} = \frac{v λ _{w}}{v λ _{g}} = \frac{5}{4}$
or $n_{g} = \frac{5}{4} \times n_{w} = \frac{5}{4} \times \frac{4}{3} = \frac{5}{3}$

Q. 0.04 m of glass contains the same number of waves as 0.05 m of water, when monochromatic light passes through them normally. Refractive index of water is 34​. Refractive index of glass is

35​

45​

25​

54​