Question

❌Please don't answer if you don't know ❌

Please solve these problems

The final results are given

⚠️ I want full Explanation ⚠️
❗Please❗

1. A beam of light passes from air to a medium
X. If the angle of incidence is 45° and angle of
refraction is 30°, calculate the refractive index of X

Ans: 1.414

2. The refractive index of glass with respect to air
is 1.5. What will be the refractive index of air
with respect to glass?

Ans: 0.667
​​

Answer 1

1. Since Refractive index= sini/sinr
2. we have..sin I=45°
3. sin r=30°
4. Therefore, 1/√2/1/2= 1/√2×2/1 =2/√2=√2
5. √2 (1.414) is the answer .

Thank You!

1. Answer. (refractive index of glass with respect to air)×(refractive index of air with respect to glass)=1 . this is normally thought in your class 9or 10. so refractive index of air with respect to glass=1/1.5 =0.67.

hope it helps you. please make me brainlest and thank me

Answer 2

$\bf \:\large \red{AηsωeR : 1.} ✍$

$\large\underline\blue{\bold{Given \: Question :- }}$

• A beam of light passes from air to a medium X.
• The angle of incidence is 45°
• The angle of refraction is 30°.

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$\large\underline\purple{\bold{To \: Find :- }}$

• The refractive index of X

$\large\underline\blue{\bold{Formula \: used:- }}$

$\red{\bold{Refractive \: index = \dfrac{sin \: i}{sin \: r} }}$

where,

• i = angle of incidence
• r = angle of refraction

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$\large\underline\blue{\bold{Solution:- }}$

$\begin{gathered}\begin{gathered}\bf Given that = \begin{cases} &\sf{angle \: of \: incidence, i = 45°} \\ &\sf{angle \: of \: refraction, r = 30°} \end{cases}\end{gathered}\end{gathered}$

☆We know that,

$\red{\bold{Refractive \: index = \dfrac{sin \: i}{sin \: r} }}$

$\bf\implies \: \blue{\bold{Refractive \: index = \dfrac{sin \: 45}{sin \: 30} }}$

$\bf\implies \: \green{\bold{Refractive \: index = \dfrac{\dfrac{1}{ \sqrt{2} } }{\dfrac{1}{2} } }}$

$\bf\implies \: \purple{\bold{Refractive \: index = \sqrt{2} }}$

$\bf\implies \: \red{\bold{Refractive \: index = 1.414}}$

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$\bf \:\large \red{AηsωeR : 2.} ✍$

$\large\underline\blue{\bold{Given \: Question :- }}$

• The refractive index of glass with respect to air is 1.5.

$\large\underline\blue{\bold{To \: Find :- }}$

• The refractive index of air with respect to glass?

$\large\underline\purple{\bold{Solution :- }}$

☆The refractive index of glass with respect to air, (y) is 1.5.

☆Let the refractive index of air with respect to glass be x.

☆ We know,

$\bf\implies \:x = \dfrac{1}{y}$

$\bf\implies \:x = \dfrac{1}{1.5}$

$\bf\implies \:x = \dfrac{10}{15}$

$\bf\implies \:x = \dfrac{2}{3} = 0.667$

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