Question

The wavelength of sodium light in air is 5890 Å . The velocity of light in air is 3xx10^(8) ms^(-1). The wavelength of light in a glass of refractive index 1.6 would be close to

Answer 1

Given:

Wavelength of light $\lambda = 5890 \times10^{-10}$ m

Speed of light $c = 3 \times 10^{8}$ $\frac{m}{s}$

Refractive index $n = 1.6$

To Find:

Wavelength of light in glass,

From the formula of wavelength of light in medium,

    $n = \frac{\lambda }{\lambda _{mid} }$

$\lambda _{mid} = \frac{\lambda }{n}$

$\lambda _{mid} = \frac{5890 \times 10^{-10} }{1.6}$

$\lambda _{mid} = 3681 \times 10^{-10}$ m

Therefore, the wavelength of light in glass is $3681 \times 10^{-10}$ m