Question

The refractive index of flint glass is 1.65. Speed of light in air is 3×10*8m/s . What is the speed of light in flint flass

Answer 1

Hi

,

U1/u2=v2/v1

U1=ri of air =1

U2=1.65

V1=3into ten to the power of eight

V2=how much

V2=3intotento the powerofeight/1.65

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Answer 2

$\Large \bf Given :$

• $\bf Refractive \: index \: of \: flint \: glass, \: η_{g} = 1.65$
• $\bf Speed \: of \: light \: in \: air, c=3×10⁸m/s$

$\Large \bf To \: Find :$

• $\bf Speed \: of \: light \: in \: glass, v_{g}$

$\Large \bf Solution :$

By formula :

$\bf η_{g} = \dfrac{c}{v_{g}}$

$\bf \implies v_{g} = \dfrac{c}{η_{g}}$

$\bf \implies v_{g} = \dfrac{3 \times 10^{8}m/s}{1.65}$

$\bf \implies v_{g} = \dfrac{3}{1.65}\times 10^{8}m/s$

$\bf \implies v_{g} = \dfrac{3 \times 100}{165}\times 10^{8}m/s$

$\bf \implies v_{g} = \dfrac{\cancel{3} \times 100}{\times{\cancel{165}}_{55}}\times 10^{8}m/s$

$\bf \implies v_{g} = \dfrac{100}{55}\times 10^{8}m/s$

$\bf \implies v_{g} = 1.8181... \times 10^{8}m/s$

$\bf \implies v_{g} = 1.82 \times 10^{8}m/s \: (approx.)$

$\bf \therefore Speed \: of \: light \: in \: glass, v_{g} = 1.82 \times 10^{8}m/s \: (approx.)$