Question

The refractive index of glass with respect to water is9÷8if the velocity and wave lenght of light in water are 2.25×10^8m÷s and 5400 then velocity and wave length of light in glass are

Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

The refractive index of glass with respect to water is ${\sf \dfrac{9}{8}}$ if the velocity and wave lenght of light in water are ${\sf 2.25×10^8\:m/s}$ and 5400 then velocity and wave length of light in glass are

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Refractive index of glass with respect to water ${\sf (_w\mu_g)=\dfrac{9}{8}}$
• Velocity of light in water ${\sf (v_w)=2.25×10^8\:m/s}$

$\large\underline{\underline{\sf To\:Find:}}$

• Velocity of light in glass ${\sf (v_g)}$

✪$\large{\boxed{\bf \blue{\dfrac{sin\:\mu_1}{sin\:\mu_2}=\dfrac{c/v_1}{c/v_2}}}}$

$\implies{\sf _1\mu_2=\dfrac{v_1}{v_2} }$

$\implies{\sf _w\mu_g=\dfrac{v_w}{v_g}}$

$\implies{\sf \dfrac{9}{8}=\dfrac{2.25×10^8}{v_g} }$

$\implies{\sf v_g=\dfrac{2.25×10^8×8}{9}}$

$\implies{\sf v_g=\dfrac{18×10^8}{9}}$

$\implies{\bf \red{v_g=2×10^8\:m/s}}$

$\huge\underline{\underline{\bf \green{Answer-}}}$

Velocity of light in glass is ${\bf \red{2×10^8\:m/s}}$