Question

Find the reflective index of a medium if the speed of light in that medium is 2 25 ×10^8 m/s.​

Answer 1

Answer:

• Refractive Index of that Medium is 1.33

Explanation:

Given:-

• Speed of light in that medium ,v = 2.25×10⁸ m/s

To Find:-

• Refractive Index ,nm

Solution:-

As we know that the speed of light in vacuum/air is 3 × 10⁸ m/s.

Using Snell's Law

• nm = c/v

where,

• nm is the refractive index
• c is the speed of light in air
• v is the speed of light in medium

Substitute the value we get

→ nm = 3×10⁸/2.25×10⁸

→ nm = 3/2.25

→ nm = 1.33

• Hence, the refractive index of that medium is 1.33

Answer 2

Answer:

Given :-

• Speed of light in glass = 2.25 × 10⁸
• Speed of light in vaccum = 3 × 10⁸

To Find :-

Refractive index

Solution :-

Here, we will use Snell's Law

$\huge \bf \: nm = \frac{c}{v}$

Here,

nm is the refractive index

c is the speed in vaccum

v is the speed in glass

$\tt \: nm \: = \dfrac{3 \times {10}^{8} }{2.25 \times {10}^{8} }$

$\tt \: nm \: = \dfrac{3}{2.25}$

$\tt \: nm \: = 1.33$

Therefore :-

The refractive index of medium is 1.33.