1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fiasKO [112]
3 years ago
13

An aquarium open at the top has 30-cm-deep water in it. You shine a laser pointer into the top opening so it is incident on the

air-water interface at a 45∘ angle relative to the vertical. You see a bright spot where the beam hits the bottom of the aquarium. The index of refraction of water is 1.33. How much water (in terms of height) should you add to the tank so the bright spot on the bottom moves 5.0 cm?
Physics
2 answers:
Juliette [100K]3 years ago
8 0

Answer:

Height of water should be 10 cm.

rewona [7]3 years ago
4 0

Answer:

The answer is 8cm

Explanation:

We will use Snell Refraction law to solve this exercise.

First we will need to note that in both scenarios we are using an air-water interface, so the refraction angle doesnt change

Second we need to stablish some parameters, such as the air index of refraction which will be 1. We already know the index of refraction of the water is 1. 33

Let´s get to the action!

According to the Snell Refracton law we have the next equation:

(n1)(sin(theta1))=(n2)(sin(theta2))

Where n1 is the index of refraction of the air

And n2 is the index of refraction of the water

theta1 is the incidence angle relative to the vertical

theta2 is the refraction angle relative to the vertical

Replacing we will find the refraction angle this way:

(1)(sin(45))=(1.33)(sin(theta2))

(1/1.33)(sen(45))=sin(theta2)

Finally we get that theta2=32.12°  

With this angle we will trace a triangle, where the vertical line will be 30cm (or 0.3m), with this triangle we will find the distance between the vertical and the spot where the beam hits the bottom, this way:

tan(theta2)=(X/0.3m)e

We get that X is 0.19m (or 19cm).  

After it, we will increase X by adding 5cm to it, it means the new X will be 19cm+5cm, 24cm (or 0.24m)

As we know how much the new X is and we also know what´s the refraction angle (theta2) all we do is find how much the new height is, this way:

tan(theta2)=(0.24m/Y)

We get that the new Y is 0.38m (or 38cm)

It means, the amount of water you need to add to the tank is 8cm

You might be interested in
*please refer to photo*
just olya [345]

Based on the calculations, the average velocity is equal to 360 m/s and the percent difference is equal to 4.72%.

<h3>What is average velocity?</h3>

An average velocity can be defined as the total distance covered by a physical object divided by the total time taken.

<h3>What is an average?</h3>

An average is also referred to as mean and it can be defined as a ratio of the sum of the total number in a data set to the frequency of the data set.

<h3>How to calculate the average velocity?</h3>

Mathematically, the average velocity for this data set would be calculated by using this formula:

Average = [F(v)]/n

Vavg = [v₁ + v₂ + v₃ + v₄ + v₅)/5

Since the values of the average velocity from the table are missing, we would assume the following values for the purpose of an explanation:

  • v₁ = 100 m/s
  • v₂ = 150 m/s
  • v₃ = 200 m/s
  • v₄ = 250 m/s
  • v₅ = 300 m/s

Substituting the parameters into the formula, we have:

Vavg = [300 + 450 + 500 + 250 + 300)/5

Vavg = 1800/5

Vavg = 360 m/s.

Next, we would calculate the percent difference by using this formula:

Percent \;difference = \frac{[V_{avg}\;-\;V_{sound}]}{V_{sound}} \times 100

Percent difference = [360 - 343]/360 × 100

Percent difference = 17/360 × 100

Percent difference = 0.0472 × 100

Percent difference = 4.72%.

Read more on average here: brainly.com/question/9550536

#SPJ1

3 0
1 year ago
Scientific theories are explanations for naturally occurring events or phenomena. Although scientific theories require extensive
Arada [10]
The answer should be B) Scientific theories and laws develop from the acquisition of scientific knowledge. Hope this helps you.
3 0
3 years ago
Read 2 more answers
A mother pushes a baby stroller 10 meters by applying 40 newtons of force. how much work was done?
topjm [15]
Based on the situation above the the work done was 400 Joules. <span>Q = FS cos(theta) is the so-called work function. It's important to learn the work physics; you'll see it over and over in science/physics class. Theta is the angle between the force vector F and the distance vector S. In your problem we assume theta = 0, the two vectors were assumed aligned.</span>
7 0
3 years ago
Read 2 more answers
What is the relationship between elevation and energy (think about the same can dropped from different heights)?
MA_775_DIABLO [31]
Elevation would be showing you what height you are at, energy would be like what force your putting into the object.
8 0
3 years ago
Read 2 more answers
What is Kepler’s first law?
BartSMP [9]

Answer:

Kepler's First Law: each planet's orbit about the Sun is an ellipse. The Sun's center is always located at one focus of the orbital ellipse. The Sun is at one focus. The planet follows the ellipse in its orbit, meaning that the planet to Sun distance is constantly changing as the planet goes around its orbit.

5 0
2 years ago
Read 2 more answers
Other questions:
  • A heavy boy and a lightweight girl are balanced on a mass-less seesaw. If they both move forward so that they are one-half their
    6·2 answers
  • What type of light-matter interaction causes glare?
    5·2 answers
  • The main purpose of a service panel in a house is to A. keep the meter working correctly. B. connect the service drop to the hou
    5·2 answers
  • The unit for measuring heat is:<br> 1.Kelvin<br> 2.Watts<br> 3.Newtons<br> 4.Joules
    10·2 answers
  • The popular GPS devices that people use to find directions while driving use which type of satellite system?
    7·2 answers
  • What converts organic remains into fossil fuels? 1.chemical reaction 2.water 3.heat and pressure
    8·2 answers
  • What is the relationship between distance and sound wave return time?
    8·1 answer
  • What is the speed of a wave with a frequency of 100 hz and a wave length of .5 m?
    5·2 answers
  • Condyloid joints are, logically enough, created by joints at condyle bone markings.
    14·1 answer
  • A bullet of mass 0.01 kg is fired in to a sand bas of mass 0.49 kg from a tree. The Sand bag with the bullet embedded in to it s
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!