SATHEE: Optics Question 947

Optics Question 947

Question: A ray incident at a point at an angle of incidence of $60^{o},$ enters a glass sphere of refractive index $n = \sqrt{3}$ and is reflected and refracted at the further surface of the sphere. The angle between the reflected and refracted rays at this surface is

Options:

A) $50^{\circ}$

B) $60^{\circ}$

C) $90^{\circ}$

D) $40^{\circ}$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Refraction at P, $\frac{\sin 60^{\circ}}{\sin r_{1}} = \sqrt{3}$

$\Rightarrow$ $\sin r_{1} = \frac{1}{2}$

$\Rightarrow$ $r_{1} = 30^{\circ}$ Since, $r_{2} = r_{1}$

$∴$ $r_{2} = 30^{\circ}$ Refraction at Q, $\frac{\sin r_{2}}{\sin i_{2}} = \frac{1}{\sqrt{3}}$ Putting $r_{2} = 30^{o},$ we obtain $i_{2} = 60^{o}$ Reflection at Q, $r_{2}^{'} = r_{2} = 30^{\circ}$

$∴$ $α = 180^{\circ} - (r_{2}^{'} + i_{2})$ $= 180^{\circ} - (30^{\circ} + 60^{\circ}) = 90^{\circ}$

पिछला

अगला

गोपनीयता नीति

द्वारा संचालित Prutor@IITK

sathee@iitk.ac.in

SATHEE का मीडिया कवरेज

खेल स्टोर

ऐप स्टोर

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Optics Question 947

Question: A ray incident at a point at an angle of incidence of 60o, enters a glass sphere of refractive index n=3 and is reflected and refracted at the further surface of the sphere. The angle between the reflected and refracted rays at this surface is

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Menu

Question: A ray incident at a point at an angle of incidence of $60^{o},$ enters a glass sphere of refractive index $n = \sqrt{3}$ and is reflected and refracted at the further surface of the sphere. The angle between the reflected and refracted rays at this surface is