At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

Answers

Answer 1

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

[tex] d*sin(\theta) = m\lambda [/tex]

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]

Now, to produce a second-order maximum (m=2) the angle must be:

[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]

[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        


Related Questions

AABC has the following angle measures: MLA = 120, MLB = 40, and
mZC = 20. Which lists the sides in order from shortest to longest?

Answers

Answer:

It would be CB, BA, AC

Step-by-step explanation:

3(2e + 5) + 8(1 - e) = 1

ILL MARK BRAINLIST HELP !!!

Answers

Answer:

11 (positive)

Step-by-step explanation:

Answer:

e=11

Step-by-step explanation:

3(2e+5)+8(1-e)=1

6e+15+8-8e=1

-2e+23=1

-2e=-22

e=11

Helpppppp please due today ​

Answers

Answer:

Y=-2x+5 (3 or C)

Step-by-step explanation:

Replace the value of x

Y= -2x(-1)+5

Solve

Y= 2+5

Y= 7

8. There are three exams in a marking period. A student received grades of 75 and 81 on the first two exams. What grade must the student earn on the last exam to get an average of no less than 80 for the making period?

Answers

80*3= 240
Meaning all 3 averages must add up to 240, in order for it to be 80 or more.

75+81= 156
240-156= 84

The student must earn an 84

Answer:

84 and more

Step-by-step explanation:

84+81+75

=240

240/3

=80

R is between Q and S
Find QR

Answers

Answer:

23.8

Step-by-step explanation:

68.4 - 44.6 = 23.8

Answer:

QR is 23.8

because 68.4 - 44.6 =23.8

helppppp please I will give brainliest​

Answers

The B is 2. B is the Y Intercept.

The graph below shows the numbers of cups of peach juice that are mixed with different numbers of cups of lemon-lime soda to make servings of peach soda:

A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 9, 18, 27, 36, 45. Points are shown on ordered pairs 0, 0 and 1, 9 and 2, 18 and 3, 27 and 4, 36. These points are connected by a line. The label on the x axis is Lemon lime soda in cups. The title on the y axis is Peach juice in cups.

What is the ratio of the number of cups of peach juice to the number of cups of lemon-lime soda?

9:1
1:36
36:1
1:9

Answers

Answer:

A-9:1 is correct i can confirm since i took the test

Step-by-step explanation:

Does anyone know the simplest radical form for this question

Answers

Answer:

A.

Step-by-step explanation:

Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.

Answer:

A)  4[tex]\sqrt15\\[/tex]

Step-by-step explanation:

Start by factoring 240 to its prime factors

√240 = √10 · 24 =√2·5·2·2·2·3

look for pairs of numbers.  There are 2 pairs of 2s, so take those out of the radical

=  2·2√5·3

=  4√15

If the ribbon costs 10 cents ($0.10) per foot, what is the total cost of the ribbon in dollars? Explain your reasoning.....how do you know where to place the decimal?

Answers

Answer:

The cost would be $0.10. You would figure this out because 10 cents is a 10th of a dollar

Step-by-step explanation:

Help Again Please Answer The Image

Answers

The top is +2 so the blank would be 6. On the bottom, the rate is +10 is the first blank is 55, the second blank is 75

Factor the polynomial:
x2 + 5x – 14 =
х
x2 - 10x + 16 =
VX

Answers

Answer:

(x-2) and second slot is (x+7)

Second Answer= (x-2) and second slot is (x-8)

Answer:

(x-2),x-7) next set is (x-2),(x-8) then the next question is (x-2) your very welcome.

Step-by-step explanation:

Which number is the additive inverse of -4
-442
O
-4
O
45
V

Answers

Answer:

it's the last one i mean 4&1/4

Answer:

last image== four and one fourth

A poll is given, showing 60% are in favor of a new building project. If 9 people are chosen at random, what is the probability that exactly 4 of them favor the new building project?

Answers

Answer:

The probability that exactly 4 are in favor the new building project is 0.1672.

Step-by-step explanation:

Let X denote the number of people who are in favor of a new building project.

The proportion of people who are in favor of a new building project is, p = 0.60.

A random sample of n = 9 people are chosen.

Every person has independent opinion about the new building project.

Thus, the random variable X follows a binomial distribution with parameters n = 9 and p = 0.60.

Compute the probability that exactly 4 are in favor the new building project as follows:

[tex]P(X=4)={9\choose 4}(0.60)^{4}(1-0.60)^{9-4}\\\\=126\times 0.1296\times 0.01024\\\\=0.167215104\\\\\approx 0.1672[/tex]

Thus, the probability that exactly 4 are in favor the new building project is 0.1672.

Please can someone help me

Answers

Answer:

60degree ...........

Classwork
Example 1
Which of the following correctly models that the number of red gumballs is the number of white gumballs?
5
3
a.
Red
b.
Red
White
White
c.
Red
d.
Red
White
White

Answers

Answer:

b

Step-by-step explanation:

Each box represents 1/3. 5/3 of white is 2 boxes more so red needs 2 boxes more than white. 5 red and 3 white is the only one that follows the criteria.

Josh is unpacking boxes at her job at target she unpacks 17 boxes that each have 25 regular DVDs in them she also on tax 24 boxes that each have a team blue rays TVs in them what is the total number of regular DVDs and Blu-ray’s that are on Pat Solve and explain

Answers

Answer:

1+1=4

Step-by-step explanation:

Plz help me with this

Answers

Answer:

0

Step-by-step explanation:

Inverse it To verify:

0/1=0+9=9

Consider quadrilateral ABCD shown.

Answers

Answer:

a=(2,8) b=(8,8)

c=(8,2) d=(2,2)

Step-by-step explanation:

Answer:

this quadrilateral would be a square because all of the sides are equal.

Help plz math algebra honors?!

Answers

Answer:

y=1

To check your answer:

20(1)-7=13

20-7=13

13=13

The answer is 1 definately

A typical red blood cell in human blood has a diameter of approximately 0.000007 m. Enter this diameter

in scientific notation.

In scientific notation, this diameter is

x 10

m.

Answers

Answer:

In scientific notation, that would be;

7.0 * 10^-7 m

Step-by-step explanation:

Here, we want to write the given diameter in scientific notation

Mathematically, that can be done by moving the decimal point to the back of 7

The number of times we move will be counted as negative powers of 10 host

Thus, we have;

7.0 * 10^-7

What is the simplest form for 15:25​

Answers

Answer:

3/5

Step-by-step explanation:

Both can be divided by 5. So, 15 divided by 5 is 3, and 25 divided by 5 is 5! Hoped this helped :)

The expression 2y + 2.7 is equal to for y = 4. ​

Answers

Answer:

10.7

Step-by-step explanation:

i am not certain but since y is the 4 you will have 2(4) + 2.7 so you get 8+2.7 since you do 2x4 then you add 8 and 2.7 to get 10.7

Find the value of y-8 when y = 15.

Answers

Answer: y=3

Step-by-step explanation:

the initial statement is

y

1

x

to convert to an equation multiply by k the constant

of variation

y

=

k

×

1

x

=

k

x

to find k use the given condition

y

=

15

when

x

=

5

y=kx⇒k=y x=15×5=75

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣22y=75x22∣∣

when x=25 then

y=75 25=3

Step-by-step explanation:

I hope understand this

Please give the correct answer and I will give a brainless

Answers

Answer:

It’s 40 I’m pretty sure because of the square. That’s how I was taught.

3 2/3 x 2 3/4 what is the answer guys and thank you to anyone helping me out with this question

Answers

Answer:

The answer is 6 6/12

Step-by-step explanation:

what is the equivalent fraction of 4/8​

Answers

Answer:

2/4

Step-by-step explanation:

2/4 × 2= 4/8 hsuddhskshvshiseu

1/2 or 2/4

4÷8=1/2

4÷2/8÷2=2/4

(3x−2.4)/0.02 = (8−x)/0.1 Please Help

Answers

Answer

x = 5/4

Step-by-step explanation:

0.9, 0.09, 0.1, 0.07
In order from smallest to largest

Answers

Answer:

0.07,0.09,0.1,0.9

Step-by-step explanation:

In general terms, Ascending means smallest to largest, 0 to 9, and/or A to Z and Descending means largest to smallest, 9 to 0, and/or Z to A. Ascending order means the smallest or first or earliest in the order will appear at the top of the list: For numbers or amounts, the sort is smallest to largest.

In ΔOPQ, o = 6.6 inches, p = 2.1 inches and q=6 inches. Find the measure of ∠O to the nearest 10th of a degree.

Answers

Answer:

The measure of ∠O is 97.2° to the nearest tenth

Step-by-step explanation:

To solve this question, we will use the cosine rule

In Δ OPQ

Side o is opposite to ∠O

Side p is opposite to ∠P

Side q is opposite to ∠Q

By using the cosine rule

o² = p² + q² - 2(p)(q)cos∠O

∵ o = 6.6 inches

∵ p = 2.1 inches

∵ q = 6 inches

→ Substitute them in the rule above

∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O

∴ 43.56 = 4.41 + 36 - 25.2cos∠O

→ Add the like terms in the right side

∴ 43.56 = 40.41 - 25.2cos∠O

→ Subtract 40.41 from both sides

∵ 3.15 = -25.2cos∠O

→ Divide both sides by -25.2 to find cos∠O

-0.125 = cos∠O

→ Use your calculator to find ∠O

∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]

∴ m∠O = 97.18075578

→ Round it to the nearest tenth ⇒ 2d.p.

m∠O = 97.2°

Help plzzzz I give extra points!

Answers

Answer: D

Step-by-step explanation:

3x-4 = -22

3x = -18

x= -6

Answer:

X = -6

Step-by-step explanation:

3x - 4 = -22

3x = -22 + 4

3x = -18

x = -18/3

x= -6

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