Question

The refractive index of glass with respect to medium is 4/3 if the difference in the velocity of light vm-vg=6.25*10^7m/s then the velocity of light in the medium will be

Answer 1

Answer: $25 \times 10^7 m/s$

Refractive index of medium with respect to medium 2 is given by:

$\mu_{gm}=\frac{v_m}{v_g}$

Where, $v_g$ is the velocity of light in glass and $v_m$ is the velocity of light in medium.

It is given that:

$\mu_{gm} = \frac{4}{3}$

$v_m-v_g= 6.25 \times 10^7 m/s$

$\mu_{gm}-1=\frac{v_m}{v_g}-1=\frac{v_m-v_g}{v_g}$

$\Rightarrow \frac{1}{3}=\frac{6.25 \times 10^7 m/s}{v_g}$

$v_g=3 \times 6.25 \times 10^7 m/s = 18.75 \times 10^7 m/s$

$v_m=\frac{4}{3} v_g\\ \Rightarrow v_m = \frac{4}{3} \times 18.75 \times 10^7 m/s = 25 \times 10^7 m/s$

Answer 2

Answer 2.5×10^8

Explanation: