Question

velocity of light in glass is 2.1*10sqaure 2 meter per second find refractive index of glass with respect to air​

Answer 1

Given:

↬ Velocity of light in glass= 2.1×10² m/s

To Find:

Refractive index of glass with respect to air

Solution:

We know that,

$\sf{Refractive\:of\:a\:medium=\dfrac{Speed\:of\:light\:in\:air}{Speed\:of\:light\:in\:medium}}$

So,

​$\sf{Refractive\:of\:glass=\dfrac{Speed\:of\:light\:in\:air}{Speed\:of\:light\:in\:glass}}$

$\sf{Refractive\:of\:glass=\dfrac{3\times10^{8}}{2.1\times10^{2}}}$

$\sf{Refractive\:of\:glass=\dfrac{\cancel{3}\times10^{8}}{\cancel{210}}}$

$\sf{Refractive\:of\:glass=\dfrac{10^{8}}{70}}$

$\sf{Refractive\:of\:glass=0.0142\times10^{8}}$

$\sf{Refractive\:of\:glass=1.42\times10^{6}}$

Hence, the refractive index of glass is 1.42×10⁶.