Question

A laser pointer is shined through air (n=1.0) and enters another medium at an angle of 45degrees. If the angle of refraction is 24°. What is the index of refraction of the medium.

190

likes
952 views

Answer to a math question A laser pointer is shined through air (n=1.0) and enters another medium at an angle of 45degrees. If the angle of refraction is 24°. What is the index of refraction of the medium.

Expert avatar
Tiffany
4.5
102 Answers
First, use Snell's Law:

n_1 \sin( \theta_1 ) = n_2 \sin( \theta_2 )

Given:
n_1 = 1.0
\theta_1 = 45^\circ
\theta_2 = 24^\circ

Rearrange Snell's Law to solve for \( n_2 \):

n_2 = \frac{ n_1 \sin( \theta_1 ) }{ \sin( \theta_2 ) }

Substitute the given values:

n_2 = \frac{ 1.0 \sin( 45^\circ ) }{ \sin( 24^\circ ) }

Calculate the sine values:
\sin( 45^\circ ) = 0.7071
\sin( 24^\circ ) = 0.4067

Now plug in the sine values to find \( n_2 \):

n_2 = \frac{ 0.7071 }{ 0.4067 }

n_2 = 1.74

So, the index of refraction of the medium is:

n_2 = 1.74

Frequently asked questions (FAQs)
Question: Graph the inequality 4x - 3y > 12 on a coordinate plane. Identify the shaded region as the solution set.
+
Question: State the rule for congruence of triangles with corresponding parts.
+
What is the radian measure of an angle whose degree measure is 45 degrees?
+
New questions in Mathematics
a to the power of 2 minus 16 over a plus 4, what is the result?
12-6x=4x+2
3(2+x)-2(2x+6)=20-4x
What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..
A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed
Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.
Moaz wanted to test whether the level of headache pain (on a scale of 1 – 10) changes after taking Advil. He collected data from 9 participants and calculated the difference in headache pain before and after taking Advil (summarized in the table below). Determine W observed for this test. Difference Scores -2 -4 0 +1 +3 -2 0 -3 -5 Also, What is the degrees of freedom for this test?
find all matrices that commute with the matrix A=[0 1]
Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?
Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?
1. A capital of $3,831 was lent, and it has produced interest of $840 from 05-12-2022 to 1-12-2023. At what annual simple interest rate was the capital lent?
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
(X+2)(x+3)=4x+18
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?
t+72/t=-17