Question

The speed of light in a certain glass is lod times1.8×,10(8)m/s . define refractive index. What is SI unit of refractive index? find the refractive index of glass.

Answer 1

Answer:

• Refractive index :- The ratio of the speed of light in vacuum to the speed of light in a medium is called the refractive index .

• There is no SI unit of Refractive Index .
• Refractive index of glass is 1.66 .

Explanation:

Given:-

• Speed of light in glass ,v = 1.8×10⁸m/s

• Speed of light in vacuum ,c = 3×10⁸ m/s

To Find:-

• Refractive index of glass .

Solution:-

Using Snell's Law

• μ = c/v

where,

• μ is the refractive index of glass.
• c is the speed of light in vacuum.
• v is the speed of light in glass.

Substitute the value we get

→ μ = 3×10⁸/1.8×10⁸

→ μ = 3/1.8

→ μ = 1.66

• Hence, the refractive index of the glass is 1.66 .

Answer 2

■ Question 1. :-

➤ The speed of light in a certain glass is lod times1.8×,10(8)m/s , find the refractive index of glass.

Answer :-

➬ 1.67 (approximately)

Solution :-

$\star$The speed of light in vaccum ➮ 3 × 10⁸ m/s .

$\star$The speed of light in transparent medium ➮ 1.8 × 10⁸ m/s .

Formula :-

$\underline{ \boxed{ \green{\sf \: (n) \: refractive \: index \: = \frac{(c)speed \: of \: vaccum}{(v)speed \: of \: transparent \: medium}} } }$

put the values as par need ,

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: ➧ \: n \: = \frac{3 \times {10}^{8} }{1.8 \times {10}^{8} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: ➧ \: n \: = \frac{3 }{1.8 }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: ➧ \: n \: = \frac{10 }{6}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: ➧ \red{\fbox{ \rm n \: = 1.67(appro) }}$

Therefore ,

The refractive index of glass is 1.67 .

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■ Question 2. :-

➣ Define refractive index. What is SI unit of refractive index?

AnsWer :-

The refractive index of a material is a dimensionless number that describes how fast light travels through the material. It is defined as where c is the speed of light in vacuum and v is the phase velocity of light in the medium.

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