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
Your high beam headlights illuminate the road in front of you for __________ feet. A. 150 B. 450 C. 650
ASHA 777 [7]

Answer:

B. 450 feet

Explanation:

Due to the angle at which high beam headlights illuminate, they can illuminate the road for about 450 feet.

8 0
3 years ago
The chart below shows the amount of coal mined in four different states of USA in the year 2005.
ozzi
The correct answer is <span>Montana.

In fact, we see from the table that Montana is the state with the largest amount of coal mined in 2005: 120 billion tons, while all the other states have a smaller amount of coal mined (37, 68 and 78, for West Virginia, Wyoming and Illinois, respectively).</span>
3 0
3 years ago
Read 2 more answers
Assume it takes 10 J to stretch a spring 10 cm beyond its natural length. Find the work required (in Joules) to stretch the spri
Lady bird [3.3K]

Answer:

W = 30 J

Explanation:

given,

Work done = 10 J

Stretch of spring, x = 0.1 m

We know,

dW = F .dx

we know, F = k x

\int dW = \int_0^{0.1} k.x dx

W = \int_0^{0.1} k.x dx

W = k[\dfrac{x^2}{2}]_0^{0.1}

10 = k\dfrac{0.1^2}{2}

k = 2000

now, calculating Work done by the spring when it stretched to 0.2 m from 0.1 m.

W = \int_{0.1}^{0.2} 2000 x dx

W = 2000 [\dfrac{x^2}{2}]_{0.1}^{0.2} dx

W = 1000 x 0.03

W = 30 J

Hence, work done is equal to 30 J.

4 0
3 years ago
Why does a bouncing ball rise to a lower height with each bounce?
grandymaker [24]
Because after each impact it loses a fraction of its original energy, because it gets transfered to the floor. this is the reason that a perpetual motion machine is impossible. you cannot have infinite energy, because to perform a task, energy must be spent. hope i helped :3
7 0
3 years ago
Heterogeneous Mixture And Homogeneous Mixture
sdas [7]

Answer: Go ask your teacher and im sure if you search it on good it will answer faster than this.

Explanation: Have a great day \ and be safe

7 0
3 years ago
Other questions:
  • I need help with physics please help me!
    13·1 answer
  • What is Virtual Lab and what does people use it for and why they use it?
    6·1 answer
  • A machine is supplied energy at a rate of 4,000 W and does useful work at a rate of 3,760 W. What is the efficiency of the machi
    14·2 answers
  • At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball
    5·1 answer
  • Which statements does the Second Law of Thermodynamics support?
    13·1 answer
  • Please answer the following essay question:
    11·1 answer
  • A yo-yo has a string that is 0.95 m in length. What is the period of oscillation if the yo-yo is allowed to swing back and forth
    7·1 answer
  • I need some help with physics ​
    5·2 answers
  • A student creates a model by placing raisins in bread dough and allowing the dough to rise for several hours. The student sketch
    15·1 answer
  • State the five important assumptionns of the kinetic theory of matter
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!