Fundraise on MathsGee
First time here? Checkout the FAQs!

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

1 like 0 dislike
Light is refracted at the boundary between water and an unknown medium. If the angle of incidence is \(25^{\circ}\), and the angle of refraction is \(20,6^{\circ}\), calculate the refractive index of the unknown medium.
in Physics & Chemistry by Platinum (130,878 points) | 196 views

1 Answer

0 like 0 dislike
Best answer
The angle of incidence \(\theta_{1}=25^{\circ}\)
The angle of refraction \(\theta_{2}=20,6^{\circ}\)
We need to calculate the refractive index for the unknown medium.

We can use Snell's law to calculate the unknown refractive index, \(n_{2}\)
According to Snell's Law:
n_{1} \sin \theta_{1} &=n_{2} \sin \theta_{2} \\
n_{2} &=\frac{n_{1} \sin \theta_{1}}{\sin \theta_{2}} \\
n_{2} &=\frac{1,333 \sin 25^{\circ}}{\sin 20,6^{\circ}} \\
n_{2} &=1,6

Typically glass has a refractive index between 1,5 to 1,9 . Therefore the unknown medium is typical glass.
by Platinum (130,878 points)

Related questions

0 like 0 dislike
1 answer

Join the MathsGee Learning Club where you get study and financial support for success from our community. CONNECT - LEARN - FUNDRAISE

On the MathsGee Learning Club, you can:

1. Ask questions

2. Answer questions

3. Vote on Questions and Answers

4. Start a Fundraiser

5. Tip your favourite community member(s)

6. Create Live Video Tutorials (Paid/Free)

7. Join Live Video Tutorials (Paid/Free)

8. Earn points for participating

Posting on the MathsGee Learning Club

1. Remember the human

2. Behave like you would in real life

3. Look for the original source of content

4. Search for duplicates before posting

5. Read the community's rules


1. Answers to questions will be posted immediately after moderation

2. Questions will be queued for posting immediately after moderation

3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.

MathsGee Android Q&A