A concave shaving mirror has a radius of curvature of 25.0 cm. For each of the following cases, find the magnification and determine whether the image formed is real or virtual and upright
or inverted,
(a) an upright pencil placed 46.0 cm from the mirror
(b) an upright pencil placed 5.0 cm from the mirror

Answers

Answer 1

(a) The magnification is less than 1, the image is smaller than the object. Therefore, the image is real, inverted, and smaller than the object. (b)The  magnification is less than 1 in magnitude, the image is also smaller than the object. Therefore, the image is virtual, inverted, and smaller than the object.

What do you understand by magnification?

In mirrors, magnification refers to the degree to which an object's size appears to be larger or smaller when reflected in a mirror. The magnification of a mirror is determined by its curvature and distance from the object being reflected.

We can use the mirror equation and magnification formula to solve the problem:

Mirror equation:

1/f = 1/do + 1/di

Magnification formula:

m = -di/do

where

f = focal length of the mirror

do = object distance from the mirror

di = image distance from the mirror

m = magnification

Given:

Radius of curvature, R = 25.0 cm (since the mirror is concave, R is negative)

focal length, f = R/2 = -12.5 cm

(a) For an upright pencil placed 46.0 cm from the mirror:

do = 46.0 cm

Using the mirror equation, we can solve for di:

1/f = 1/do + 1/di

1/-12.5 = 1/46.0 + 1/di

di = -17.2 cm

Since di is negative, the image is formed behind the mirror, which means it is real. Also, the magnification is:

m = -di/do = -(-17.2 cm)/46.0 cm = 0.374

Since the magnification is less than 1, the image is smaller than the object. Therefore, the image is real, inverted, and smaller than the object.

(b) For an upright pencil placed 5.0 cm from the mirror:

do = 5.0 cm

Using the mirror equation, we can solve for di:

1/f = 1/do + 1/di

1/-12.5 = 1/5.0 + 1/di

di = 3.33 cm

Since di is positive, the image is formed in front of the mirror, which means it is virtual. Also, the magnification is:

m = -di/do = -3.33 cm/5.0 cm = -0.666

Since the magnification is negative, the image is inverted. Since the magnification is less than 1 in magnitude, the image is also smaller than the object. Therefore, the image is virtual, inverted, and smaller than the object.

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Related Questions

How do I remove the paint from the carpet. Please I need a real answer.

Answers

Answer:

Explanation:

(water based paint)

If the paint stain is still wet, simply blot the spot with a wet paper towel  - don’t scrub, just blot.

If the paint stain is dry, use hot water and a little bit of dish detergent. Let the solution sit for a few minutes to soften the paint.

Once the paint is softened, use a knife or pin to scrape the paint stain. Continue to add more solution as you scrape.

If the paint is still not softening, consider using a handheld steamer while you scrape to eventually remove the paint stain from the carpet.

(latex based paint)

Blot the spot to remove as much wet paint as possible – don’t scrub, or you’ll push the paint further down into the carpeting.

Mix a cup of lukewarm water with one teaspoon of dishwashing detergent – just make sure the detergent is mild.

Work from the outside of the paint stain to the inside, gently blotting the affected area.

After letting the area dry completely, follow up by vacuuming.

(oil based paint)

If the paint stain is dry, you’ll want to use a steamer to soften the stain.

Apply steam directly to the stain.

Simultaneously pick at the paint stain with a needle or a pin to try and break it up.

Continue until stain is removed, without damaging fibers.

1. An ideal gas changes from a state defined by pressure P1 and volume V, to a state defined by pressure P2 and volume V2. Which set of properties is
independent of the path between the two states?

A work performed by or on the gas
B change in internal energy of the gas
C heat transfered to or from the gas
D work and heat transfer involving the gas

Answers

The answer is B.
Hope this helps.

while doing supw at school,you found a picture of Guru rinpoche in a waste pit.what would be your course of action?​

Answers

Dude you gotta rewrite that I have no idea what the question is

Look closely at the diagram that shows a roller coaster car at various points along the ride. Use it to answers Questions 3–4.

Answers

Answer: theanswer is A

Explanation: it stops at the top

A train travels with a constant speed of 28 miles per hour. How long will it take to travel a distance of 112 miles? Show your calculations

Answers

Answer:

4 hours

Explanation:

can someone help with #3? brainliest?

Answers

Answer:

vf = 7 m/s

Explanation:

3.

The final velocity of the ball right before it hits the ground can be found by using the third equation of motion:

[tex]2gh = v_f^2 - v_i^2[/tex]

where,

g = acceleration due to gravity = 9.81 m/s²

h = height = 2.5 m

vf = final velocity = ?

vi = initial velocity = 0 m/s

Therefore,

[tex]2(9.81\ m/s^2)(2.5\ m) = v_f^2 - (0\ m/s)^2\\v_f = \sqrt{49.05\ m^2/s^2}\\[/tex]

vf = 7 m/s

The first harmonic of a string tied down at both ends has a frequency of 26 Hz. If the length of the string is 0.83 m, what is the speed of waves on the string?

Answers

Answer:

the speed of the wave on the string is 43.16 m/s

Explanation:

Given;

first harmonic of the wave formed by the string, f₀ = 26 Hz

length of the string, L = 0.83 m

The wavelength for first harmonic of the wave is calculated as;

L = N ----> N

L = λ₀/2

λ₀ = 2L

The speed of the wave on the string is calculated as follows;

v = f₀λ₀

v = f₀ x 2L

v = 26 x 2 x 0.83

v = 43.16 m/s

Therefore, the speed of the wave on the string is 43.16 m/s

URGENT: write a simple equation relating the frequency (f) of a wave to its period (T)

Answers

Answer:

f(x) = mx + b

Explanation:

What is due to acids formed when atmospheric and volcanic gases mix with water

Answers

Answer:

Acid rain results when sulfur dioxide (SO2) and nitrogen oxides (NOX) are emitted into the atmosphere and transported by wind and air currents. The SO2 and NOX react with water, oxygen, and other chemicals to form sulfuric and nitric acids. These then mix with water and other materials before falling to the ground.

Explanation:

HELP ME PLZ A student wishes to conduct a controlled experiment on the effects of gender on the ability to adapt to left–right inversion. Which of the following variables should be the same in all experiments? The test used. The word used. The approximate age of all subjects. All of the above. HELP PLZ

Answers

Answer:

All of the above lol!

Explanation:

Brainliest Please!

Answer:

hope i helped even tho i am 100 years late lol not really but STILL  

Explanation:

which answer is a scientific goal?
A. What kind of probe is needed understand geology on Mars?
B. What is the climate on Mars like?
C. How can scientists communicate with a rover on Mars?
D. How can scientists deliver and land a science lab on Mars?

Answers

Answer:

B what is the climate like on mars

Explanation:

i just did the test

A scientific goal is "What is the climate on Mars like?". The correct option is B.

What is goal?

Goal is an aim of an individual , may be a dream, to be achieved by proper planning and genuine support.

A scientific goal is to collect information about any object or planet in space.

"What is the climate on Mars like?" is the scientific goal.

Thus, option correct is B.

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u r a legend if u get this right

Answers

Answer:

A is Spring

B is Winter

C is Fall

D is Summer

Explanation:

You should ALWAYS carry the microscope by placing your hand on the base of the microscope and gripping the red handle with your other hand. © True False​

Answers

Answer:

true

Explanation:

place hand under base and one on the arm/handle

Determine the specific heat of a certain metal if a 450 gram sample of it loses 34 500 Joules of heat as its temperature starts at 150 oC and drops to 53 oC.

Answers

Answer:

c = 0.4356 J/gK

Explanation:

Given the following data;

Mass = 450 grams

Initial temperature, T1 = 150°C

Final temperature, T2 = 53°C

Quantity of heat = 34500 Joules

To find the specific heat capacity of the metal;

Heat capacity is given by the formula;

[tex] Q = mcdt[/tex]

Where;

Q represents the heat capacity or quantity of heat.

m represents the mass of an object.

c represents the specific heat capacity of water.

dt represents the change in temperature.

dt = T2 - T1

dt = 53 - 150

dt = -97°C

Converting the temperature in Celsius to Kelvin, we have;

dt = 273 + (-97) = 176 Kelvin

Making c the subject of formula, we have;

[tex] c = \frac {Q}{mdt} [/tex]

Substituting into the equation, we have;

[tex] c = \frac {34500}{450*176} [/tex]

[tex] c = \frac {34500}{79200} [/tex]

c = 0.4356 J/gK

The vertical columns on the periodic table of elements are called groups.
O A. True
B. False

Answers

Answer:

A. True

Explanation:

The vertical columns on the periodic table are called groups or families because of their similar chemical behavior.

Brainlist Pls!

A student walks 3 km in 30 minutes. What is the student's average speed in km/h?​

Answers

Answer:

6km/hr

Explanation:

3km = 30mins

x(km) = 1hr

1hr = 60 x 60 = 3600secs

30min = 30 x 60 = 1800secs

3 x 3,600/x X 1,800

x = 10,800/1,800

x = 6km/hr

To solve the problem we must know about speed, distance, and time.

What is the relationship between Speed, distance, and Time?

We know that speed, distance, and time all are in a relationship with each other. this relationship can be given as,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

A student walks 3 km in 30 minutes.

We know distance can be written as the product of speed and time, therefore,

[tex]\rm Distance = \rm speed \times \rm Time[/tex]

Substituting the values we get,

[tex]\rm 3\ km = Speed \times 0.5\ hour[/tex]

[tex]\rm speed = \dfrac{3\ km}{0.5\ hour}[/tex]

speed = 15 km\h

Hence, the speed of the student is 15 km\hour.

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Definition of an electrically charged object

Answers

Answer:

Electric charge, basic property of matter carried by some elementary particles that governs how the particles are affected by an electric or magnetic field. Electric charge, which can be positive or negative, occurs in discrete natural units and is neither created nor destroyed.

What do good electrical conductors and thermal conductors have in common?

Answers

Answer:

Usually, electrical conductors have loosely bound electrons. Materials that conduct heat are thermal conductors. ... Metals typically conduct both heat and electricity. Carbon conducts ​electricity as graphite, but insulates as diamond, so the form or allotrope of a material can be important

shana and jake push a toy car of the same mass on the same straight track when jake pushes the car it goes a longer distance then when shana pushes it. which answer choice explains why jake's car went faster 1.shana pushed the car with more force then jake 2.there is more friction on the track when shana pushed the car 3.jake pushed the car with more force then shana 4.jake and shana push the car with the same force​

Answers

Answer:

answer choice 3.

Explanation:

HELPPPPPPPPPPPP so what's the difference between incidence ray and incident ray also refraction ray and reflection ray cuz i don't see any difference between them?

Answers

Answer:

incidence ray is the one that comes from the source and hits the object while reflected ray is the ray that leaves the object after striking it

Explanation:

Which of the following factors should be considered when designing a personal fitness program?
A goals
В. activities
C. variety
D. all of the above

Answers

The answer is all of the above
All becouse if you don’t have activity with goals and variety you can’t make good goal

What are the forces of nature that creates electromagnetism

Answers

Answer:

the electric force and the magnetic force.

What are the difference between copper and sodium once you put it to flame?

Answers

Answer:

When you burned the skewer tip coated with sodium chloride, you should have seen that the flame was pure yellow-orange (without any blue). This is because when the metal sodium is burned, it makes intense yellow-orange light. ... This is because when the metal copper is burned, it makes bluish-green light.

hope this helps

Suppose that the ultrasound source placed on the mother's abdomen produces sound at a frequency 2 MHz (a megahertz is 10^610 ​6 ​​ Hz). Sound travels through tissue at roughly the same speed as in water (v\approx 1500v≈1500m/s). Find the maximum change in frequency between the sound that is emitted by the device and the sound that is observed at the wall of the baby's heart. Treat the heart wall as a moving observer. Hint: you will need to use your answer from part (a). Give your answer as a positive number in Hz.

Answers

Answer:

the maximum frequency observed is 2.0044 10⁶ Hz

Explanation:

This is a Doppler effect exercise. Where the emitter is still and the receiver is mobile, therefore the expression that describes the process is

          f ’= [tex]f_o \ ( \frac{v \pm v_o}{v} )[/tex]

the + sign is used when the observer approaches the source

typical speeds of a baby's heart stop are around 200 m / min

let's reduce to SI units

        v₀ = 200 m / min (1 min / 60 s) = 3.33 m / s

let's calculate

         f ’= 2 10⁶ ([tex]\frac{1500 \ \pm 3.33}{1500}[/tex])  

         f ’= 2.0044 10⁶ Hz

         f ’= 1,9956 10⁶ Hz

therefore the maximum frequency observed is 2.0044 10⁶ Hz

The diagrams below show a man swinging a golf club.
The kinetic energy of the golf club at point Y is more than the potential energy of the club at point X. Which of the following statements best explains why this fact does not violate the law of conservation of energy?
Energy is added by the man to the golf club from point X to point Y
Gravity is constant from point X to point Y
Air resistance is greater at point than at point X
Acceleration due to gravity is greater at point than at point X

Answers

Answer: Energy is added, by the man, to the golf club from point X to point Y.

Explanation: i think :)

A car advertisement states that a certain car can accelerate from rest to 70 km/h in 7 seconds. Calculate the acceleration of the car.

Answers

Answer:

10 km/h

Explanation:

1. Describe the role electrical energy plays in
robotics.

Answers

Answer:

c

Explanation:

because its c

gggfffgggyvg gt you jyngy6bht

The is greater for low-mass stars than it is for high-mass stars. 2. The stars known as are the very largest and brightest of all the stars. 3. Most of the stars near the Sun are . 4. Stars are classified on the basis of their spectral type and 5. Cepheids are examples of . 6. are no longer generating energy through nuclear fusion. 7. Stars that are cooler than the Sun yet 100 to 1,000 times as luminous as the Sun are classified as .

Answers

Answer:

red giant stars/ red hyper giants

Explanation:

take stephenson 2-18 for example the star is only 3200k where the sun is around 5000k.

wearing a hat is the (better-best) way to stay worm​

Answers

Answer:

Wearing a hat is the best way to stay worm​.

(Superlative adjective)

Newton's Third Law of Motion relates to action and reaction. Which of the following
scenarios accurately names the correct action and reaction pair to apply to Newton's
Third Law?

A) An arrow hitting a tree (action) after being launched (reaction)
B)
A car accelerating forward (action) after the driver pushes the acceleration
pedal (reaction)
C) A skateboard moving (action) after being pushed (reaction)
D)
An ax being used to hit wood (action) and the wood splitting after being hit
by the ax (reaction)

Answers

Answer:

An ax being used to hit wood (action) and the wood splitting after being hit

by the ax (reaction)

Explanation:

Answer:

d

Explanation:

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