Zingi and Tumi performed an investigation to identify an unknown liquid. They shone a beam of light into the unknown liquid, varying the angle of incidence and recording the angle of refraction. Their results are recorded in the following table:
Angle of Incidence
Angle of Refraction
0,0
0,00
5,0
3,76
10,0
7,50
15,0
11,2
20,0
14,9
25,0
18,5
30,0
22,1
35,0
25,5
40,0
28,9
45,0
32,1
50,0
35,2
55,0
38,0
60,0
40,6
65,0
43,0
70,0
?
75,0
?
80,0
?
85,0
?
Write down an aim for the investigation.
Make a list of all the apparatus they used.
Identify the unknown liquid.
Predict what the angle of refraction will be for 70
, 75
, 80
and 85
.
Apparent depth
Imagine a coin on the bottom of a shallow pool of water. If you reach for the coin, you will miss it because the light rays from the coin are refracted at the water's surface.
Consider a light ray that travels from an underwater object to your eye. The ray is refracted at the water surface and then reaches your eye. Your eye does not know Snell's Law; it assumes light rays travel in straight lines. Your eye therefore sees the image of the at coin shallower location. This shallower location is known as the
apparent depth .
The refractive index of a medium can also be expressed as
A coin is placed at the bottom of a 40 cm deep pond. The refractive index for water is 1,33. How deep does the coin appear to be?
n = 1,33
real depth = 40 cm
apparent depth = ?
The coin appears to be 30,08 cm deep.
A R1 coin appears to be 7 cm deep in a colourless liquid known to be listed in
[link] . The depth of the liquid is 10,43 cm.
Explain refraction in terms of a change of wave speed in different media.
In the diagram, label the following:
angle of incidence
angle of refraction
incident ray
refracted ray
normal
What is refraction?
Describe what is meant by
the refractive index of a medium .
State Snell's Law.
In the diagram, a ray of light strikes the interface between two media.
Draw what the refracted ray would look like if:
medium 1 had a higher refractive index than medium 2.
medium 1 had a lower refractive index than medium 2.
Light travels from a region of glass into a region of glycerine, making an angle of incidence of 40
.
Describe the path of the light as it moves into the glycerine.
Calculate the angle of refraction.
A ray of light travels from silicon to water. If the ray of light in the water makes an angle of 69
to the surface normal, what is the angle of incidence in the silicon?
Light travels from a medium with
into a medium of
, at an angle of 27
from the interface normal.
What happens to the speed of the light? Does it increase, decrease, or remain the same?
What happens to the wavelength of the light? Does it increase, decrease, or remain the same?
Does the light bend towards the normal, away from the normal, or not at all?
Light travels from a medium with
into a medium of
.
What happens to the speed of the light? Does it increase, decrease, or remain the same?
What happens to the wavelength of the light? Does it increase, decrease, or remain the same?
Does the light bend towards the normal, away from the normal, or not at all?
Light is incident on a glass prism. The prism is surrounded by air. The angle of incidence is 23
. Calculate the angle of reflection and the angle of refraction.
Light is refracted at the interface between air and an unknown medium. If the angle of incidence is 53
and the angle of refraction is 37
, calculate the refractive index of the unknown, second medium.
A coin is placed in a bowl of acetone (
= 1,36). The coin appears to be 10 cm deep. What is the depth of the acetone?
A dot is drawn on a piece of paper and a glass prism placed on the dot according to the diagram.
Use the information supplied to determine the refractive index of glass.
Light is refracted at the interface between a medium of refractive index 1,5 and a second medium of refractive index 2,1. If the angle of incidence is 45
, calculate the angle of refraction.
A ray of light strikes the interface between air and diamond. If the incident ray makes an angle of 30
with the interface, calculate the angle made by the refracted ray with the interface.
Challenge Question : What values of
are physically impossible to achieve? Explain your answer. The values provide the limits of possible refractive indices.
Challenge Question : You have been given a glass beaker full of an unknown liquid. How would you identify what the liquid is? You have the following pieces of equipment available for the experiment: a laser, a protractor, a ruler, a pencil, and a reference guide containing optical properties of various liquids.
Questions & Answers
differentiate between demand and supply
giving examples
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product