Respuesta :
Explanation:
The speed of light in vacuum is, c = 3 × 10⁸ m/s
We have to find the speed of light :
(a) In air :
[tex]n_1_{air}=1.0003[/tex]
The equation of refractive index is given as :
[tex]n_1=\dfrac{c}{v_1}[/tex]
[tex]v_1=\dfrac{c}{n_1}[/tex]
[tex]v_1=\dfrac{3\times 10^8\ m/s}{1.0003}[/tex]
[tex]v_1=299910026.9\ m/s[/tex]
[tex]v_1=2.99\times 10^8\ m/s[/tex]
(b) In diamond :
[tex]n_2_{diamond}=2.42[/tex]
The equation of refractive index is given as :
[tex]n_2=\dfrac{c}{v_2}[/tex]
[tex]v_2=\dfrac{c}{n_2}[/tex]
[tex]v_2=\dfrac{3\times 10^8\ m/s}{2.42}[/tex]
[tex]v_2=123966942.1\ m/s[/tex]
[tex]v_2=1.23\times 10^8\ m/s[/tex]
(c) In crown glass :
[tex]n_3_{glass}=1.5[/tex]
The equation of refractive index is given as :
[tex]n_3=\dfrac{c}{v_3}[/tex]
[tex]v_3=\dfrac{c}{n_3}[/tex]
[tex]v_3=\dfrac{3\times 10^8\ m/s}{1.5}[/tex]
[tex]v_3=200000000\ m/s[/tex]
[tex]v_3=2\times 10^8\ m/s[/tex]
(4) In water :
[tex]n_4_{glass}=1.34[/tex]
The equation of refractive index is given as :
[tex]n_4=\dfrac{c}{v_4}[/tex]
[tex]v_4=\dfrac{c}{n_4}[/tex]
[tex]v_4=\dfrac{3\times 10^8\ m/s}{1.34}[/tex]
[tex]v_4=223880597.01\ m/s[/tex]
[tex]v_4=2.23\times 10^8\ m/s[/tex]
Hence, this is the required solution.
