A dentist uses a concave mirror to examine a tooth that is 1cm in front of the mirror. The image of the tooth forms 10cm behind the mirror.
a. What is the mirror's radius of curvature?
b. What is the magnification of the image?

Answers

Answer 1

a) The mirror's radius of curvature will be 2.7 cm

B)  The magnification of the image will be 4.0.

What is a concave mirror?

When a hollow spherical is divided into pieces and the exterior surface of each cut portion is painted, it forms a mirror, with the inner surface reflecting the light.

From the mirror equation;

[tex]\frac{1}{p}+\frac{1}{q} =\frac{1}{f} \\\\ \frac{1}{1}+\frac{1}{-10} =\frac{1}{f} \\\\ \frac{1}{f} = 1-\frac{1}{10} \\\\ \frac{1}{f} = \frac{9}{10} \\\\ f= 1.1111[/tex]

Hence,

The radius of curvature is twice of the focal length;

[tex]\rm R = 2f \\\\ \rm R = 2\times 1.111 \\\\ R=2.2222 \ cm[/tex]

Hence, the mirror's radius of curvature will be 2.7 cm.

The magnification factor is found as;

[tex]\rm m = \frac{-q}{p} \\\\ m = \frac{-(-10)}{1} \\\\ m = 10[/tex]

Hence, the magnification of the image will be 4.0.

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Related Questions

A 50 kg person receives an absorbed dose of gamma radiation of 20 millirads. What is the total energy absorbed?.

Answers

For a 50 kg person receives an absorbed dose of gamma radiation of 20 millirads,  the total energy absorbed is mathematically given as

E=0.1457J

What is the total energy absorbed?

Generally, the equation for the total energy absorbed  is mathematically given as

E=mass*gamma radiation

Therefore

E=50*20*19^{-3}

E=0.1457J

In conclusion,  the total energy absorbed

E=0.1457J

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What do we call the bright, sphere-shaped region of stars that occupies the central few thousand light-years of the milky way galaxy?.

Answers

Answer: The galaxy's bulge

Explanation:

if the distance moved by the effort is greater than the distance moved by the load, the machine is speed multiplier. TRUE/FALSE​

Answers

Answer: TRUE

Explanation: I did it before

Examine the distance-time graph.

Which line represents travel at the fastest speed? Justify your answer.

Answers

Answer:

A

Explanation:

because it is accelerating and as the vehicle accelerates the speed increas

What effect does the moon have on the Earth, if any?

Answers

Answer:

If we didnt have the moon we wouldnt have tides, and waves so there for if we had no moon we would have no waves tides solar eclip or night.

Explanation:

Yea Thats all I can list right now.

PLEASE ANSWER QUICKLY

Answers

Answer:

the third one

Explanation:because coal cause more pollition

a toy airplane takes off and flies for a distance of 34 meters at an angle of 26 degrees above the horizontal. what is its altitude when it has flown this distance?

Answers

Answer:

Explanation:

14.9m

The altitude when the airplane flies a distance of 34 m is equal to 14.9 m.

What is the distance?

The distance of an object can be demonstrated as the total length traveled by an object. The distance can be defined as a scalar parameter as it has magnitude, not direction. The distance by an object is always positive (+ve), it can never be zero.

Given, the airplane traveled the distance, BC = 34m as shown in the attached diagram, below:

The angle of the path with horizontal, θ = 26°

From the right angle triangle ΔCBA, we can calculate the BC:

Sin θ = BC/AC

Sin 26° = x/34

x = sin 26° ×34

x = 0.438 × 34

x = 14.9 m

Therefore, the altitude when an airplane has flown this distance is 14.9 m.

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How would the size of
parachute required on a space
probe to allow it to land safely
differ on:
a planet such as Venus
which has a thick
atmosphere.

Answers

Answer:

Explanation:

The atmosphere is too thin to slow the descent for a soft landing. Mars is almost a vacuum, it is the equivalent to Earth atmosphere around 125,000 feet. ... You do not want your lander to get entangled with the chute on landing, so you loose the chute right before you land.

Which sound wave has higher pitch
Can you also compare the loudness of both

Answers

Answer:

Below one has higher pitchLoudness is roughly the same

Explanation:

Pitch depends on frequencyThe below one has a higher frequency, hence it has a higher pitchThe loudness depends on the amplitudeThe amplitude here in the two is roughly the same as the height of the waves are similar

What were two reasons that the Krystal Beslanowitch case was finally closed?

Answers

Answer:

1. Police Weren't Able To Find Any Real Leads

2. They Didn't Find Any Clues To The Killer Until 18 Years Later

Explanation:

It was unknown at the time, but it would go on to take 18 years for her killer to be arrested and tried for her death. The initial case went on from 1995 to 1997 but ended up closing when the police department was unable to find any real leads.

A 50.0g sample of C-14 has decayed leaving only 3.1g. How much time has elapsed since the original sample was weighed? The half life of C-14 is 5730 years

Answers

Answer: 17,000

Explanation: I got it right

What is the difference between synchronous and asynchronous?.

Answers

Synchronous communication are phone calls or video meetings. Asynchronous communication happens when information can be exchanged independent of time. It doesn't require the recipient's immediate attention, allowing them to respond to the message at their convenience.

Hope this helps!
Please give Brainliest!

Answer:synchronous communications are scheduled, real-time interactions by phone, video, or in-person. Asynchronous communication happens on your own time and doesn't need scheduling.

Explanation:

Four forces are acting on a block as shown in the figure. What is the net force on the block?

Answers

Answer:

8 N  upwards

Explanation:

What statement best describes the situation in the diagram

Answers

Answer:
The forces are balanced and the book is at rest.

Explanation:
When the forces (amount of Newtons) on an object are equal and in opposite directions, the forces are balanced, and there is no change in motion.

Hope this helps!
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Which are thought to have formed farthest from the sun?.

Answers

The answer is Kuiper belt comets and in the Kuiper belt there are bits of rock and ice, comets and dwarf planets in the Kuiper Belt. Besides Pluto and a bunch of comets, other interesting Kuiper Belt Objects are Eris, Makemake and Haumea.

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An object is sliding down an inclined plane at constant velocity. If the coefficient of kinetic friction between the object and the plane is , what is the angle of the plane?

Answers

The angle of the plane will be 26.57°.Angle of plane is the angle of elevaton at which the body exciute motion on the inclined plane.

What is kinetic friction?

A force that acts among sliding parts is referred to as kinetic friction. A body moving on the surface is subjected to a force that opposes its progressive motion.

Force on an object due to the gravitational force will be;

[tex]\rm F = mg[/tex]

For the inclined plane the balance forces will be ;

[tex]\rm mgsin \theta = \mum g cos \theta \\\\ \rm\mu = tan \theta \\\\ \theta = tan^{-1}\mu \\\\ \theta = tan^{-1}0.5 \\\\ \theta = 26.57^0[/tex]

Hence the angle of the plane will be 26.57°.

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Which describe the image formed by the convex
mirror? Check all that apply.
-real
-virtual
-inverted
-upright
-smaller
-larger

Answers

Answer:

- Virtual

- Upright

- Smaller

Explanation:

I just did it on Edg22 and I got it correct :D

Answer:

see  the  picture

Explanation:

Unpolarized light of intensity Io is incident on a stack of 7 polarizing filters, each with its axis rotated 17°cw with respect to the previous filter. Find the ratio between light intensity emerges from the last filter and unpolarized light of intensity Io. It/Io= _________

Answers

The ratio of the intensity between light intensity that emerges from the last filter and unpolarized light of intensity, I₀ is It/I₀ = 0.2925

To answer the question, we need to know what polarization of light is.

What is polarization of light?

This is when the electric field vector of light is oscillating in one plane.

Now for light of intensity I' which is initially unpolarized, its intensity after polarization is I = 1/2I'.Also, for light initially polarized, its intensity after polarization is I"' = I"cos²Ф where Ф is the angle between the initial direction and the direction of polarization.Intensity of light through each polarized filter

Given that we have 7 polarizing filters, each rotated 17° cw with respect to the previous filter.

So, since the light is initially unpolarized,

The intensity through the first polarizing filter is I₁ = 1/2I₀ where I₀ is the initial intensity.The intensity through the second polarizing filter is I₂ = I₁cos²17°= 1/2I₀cos²17°The intensity through the third polarizing filter is I₃ = I₂cos²17° = 1/2I₀cos⁴17°The intensity through the fourth polarizing filter is I₄ = I₃cos²17° = 1/2I₀cos⁶17°The intensity through the fifth polarizing filter is I₅ = I₄cos²17° = 1/2I₀cos⁸17°The intensity through the sixth polarizing filter is I₆ = I₅cos²17° = 1/2I₀cos¹⁰17°The intensity through the seventh polarizing filter is I₇ = I₆cos²17° = 1/2I₀cos¹²17°.The ratio of the intensity between light intensity that emerges from the last filter and unpolarized light of intensity

Since I₇ is the last intensity I₇ = It = 1/2I₀cos¹²17°.

So, It/I₀ = 1/2cos¹²17°

= 1/2(0.9563)¹²

= 1/2 × 0.5850

= 0.2925

So, the ratio of the intensity between light intensity that emerges from the last filter and unpolarized light of intensity, I₀ is It/I₀ = 0.2925

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Three examples of good hypotheticals

Answers

Answer:

here are some of my favorites

Explanation:

if the world was ending, what would you do?

if you had super powers. what would they be?

if we could go to the moon, would you?

Answer:

If Life was a human, how would you treat him/her?If death was a god would you praise him?And If wishes were dead, would you bring them back alive?

Explanation:

{horrifically chuckles]

*Leaves the room*

Energy is the capacity to do work or
produce a change. Energy of position is
called potential energy. Energy of motion
is called kinetic energy.
Which situation best illustrates potential
energy being converted into kinetic
energy?
(1) a baseball landing on the ground
(2) a car coming around a corner
(3) turning off an electric lamp
(4) an apple falling from an apple tree
(5) a jogger running in a race

Answers

Answer:

4

Explanation:

Apple initially has Potential energy due to it's height and mass

  as it falls this PE is converted to KE

An apple falling from an apple tree illustrates potential energy being converted into kinetic energy. So, the correct option is (D).

What is Potential and Kinetic Energy?

Kinetic energy is a type of energy which is possessed by an object due to its motion while Potential energy is the type of energy possessed by an object due to its position or state.

While kinetic energy is relative to the position of other objects in its environment, potential energy is completely independent of its environment.

Kinetic energy can be transferred from one moving object to another while potential energy cannot be transferred. The formula of Kinetic energy is [tex]1/2 mv^2[/tex] while the formula of Potential energy is mgh where m is the mass, v is the velocity, h is the height of an object and g is the acceleration due to gravity. S.I. unit of both is Joules (J). In the given information, the apple which is on the tree is in rest mode i.e. potential energy falls from the tree, changing its motion i.e. kinetic energy.

Thus, an apple falling from an apple tree illustrates potential energy being converted into kinetic energy. So, the correct option is (D).

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What is the relationship between frequency and wavelength?

Answers

Answer:

Frequency and wavelength are inversely proportional to each other. The wave with the greatest frequency has the shortest wavelength. Twice the frequency means one-half the wavelength.

Explanation:

A bobsled’s distance-time graph indicates that it traveled 100 m in 20 s.

What is the bobsled’s speed?

100 m/s

0.25 m/s

2500 m/s

5 m/s

Answers

Answer:

5m/s -> 100m/20s=5m/s

Explanation:

because speed equal to distance division time

You are making photoelectric measurements on an electrode of an unknown metal. With zero potential difference applied by the battery, you shine various freqencies of light on the cathode. You detect a small photocurrent for light with wavelength up to 451 nm. What metal is the electrode made of

Answers

Since you detect a small photocurrent for light with wavelength up to 451 nm, the metal the electrode is made of is Sodium.

To solve the question, we need to know what work function is.

What is work function of a metal?

This is the minimum energy at which an electron will be emitted from the surface of a metal.

Since a small photocurrent is detected when ligh of wavelength up to 451 nm is applied with a zero potential difference applied, this is the threshold wavelength which gives the work function of the metal.

So, work function Ф = hc/λ where

h = Planck's constant = 6.63 × 10⁻³⁴ Js, c = speed of light = 3 × 10⁸ m/s and λ = wavelength of light = 451 nm = 451 × 10⁻⁹ m

Substituting the values of the variables into the equation, we have

Ф = hc/λ

Ф = 6.63 × 10⁻³⁴ Js × 3 × 10⁸ m/s ÷ 451 × 10⁻⁹ m

Ф = 19.89 × 10⁻³⁴ × 10⁸ Jm ÷ 451 × 10⁻⁹ m

Ф = 0.0441 × 10⁻¹⁷ J

Ф = 4.41 × 10⁻¹⁹ J

Since 1 eV = 1.602 10⁻¹⁹ J,

Ф = 4.41 × 10⁻¹⁹ J × 1 eV/1.602 10⁻¹⁹ J

Ф = 2.753 eV

From tables, the metal with the work function closet to this value is Sodium.

So, the metal the electrode is made of is Sodium.

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The phase of the moon that immediately precedes the new moon is the:.

Answers

I’m not too sure, but I think the answer is ‘waxing crescent’. I hope it’s right.

Which formula can be used to solve problems related to the first law of thermodynamics? q = w u q = u – deltaw q = u w q = u – w

Answers

"Q = ΔU + W" is the equation is used to solve the questions related to "First law of thermodynamics".

What is the first law of thermodyanamics?

"First law of thermodynamics" states that "energy" neither created nor destroyed, but it can transfer from "one form of energy" to "another form of energy".

This "First law of thermodynamics" is also called as "law of conversation of energy". The formula for "First law of thermodynamics" of a system is that "change in internal energy of a system" is same as the difference of "heat energy" flows across the " boundaries of a system" and the "work done" on the system.

ΔU = Q - W

Q = ΔU + W

Where, "ΔU" is "change in internal energy", "Q" is "heat transferred and "W" is "work done.

Hence "Q = ΔU + W" is the equation is used to solve the questions related to "First law of thermodynamics".

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A system is heated with 134 J of energy and, at the same time, the system expands, doing 89 J of work. What is the change in internal energy of the system, in Joules

Answers

The change in internal energy of the system after the heat is added and the system expands doing work to the surrounding is 45 J.

Change in internal energy of the system

The change in internal energy of the system is determined by applying the first law of thermodynamics as shown below;

ΔU = q - w

where;

ΔU is the change in the internal energyq is heat added to the systemw is work done to the surroundings

ΔU = 134 J - 89 J

ΔU = 45 J

Thus, the change in internal energy of the system after the heat is added and the system expands doing work to the surrounding is 45 J.

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a sound is first produced by making something BLANK the sound then travels through a BLANK to reach the ears, which are the parts of the body that allow for sounds to be heard

Answers

Answer:

vibrate, medium.

Explanation:

Edge, 2022.

All masses cannot be measured in kilogram, why ?​

Answers

Answer:

We cannot measure all masses in kg, because there are very small quantities like 1gm nd even smaller, and this will not be an accurate measurement in Kg.

Please help me with the blanks

Answers

... all forms of electromagnetic radiation
Also:
... particles, including alpha particles and neutrinos.

Hello people ~
Choose the vector physical quantity:
(a) Electric flux
(b) Electric potential
(c) Electric potential energy
(d) Electric intensity​

Answers

Answer:

Electric field intensity (Option D)

Explanation:

Vector quantities have both magnitude and direction whereas scaler quantities have only magnitude

Electric field intensity is denoted by E

The formula is

[tex]\\ \rm\Rrightarrow E=\dfrac{F}{q}[/tex]

Q is charge here

Answer:

(d) Electric intensity

Explanation:

A vector physical quantity has both magnitude and directionIntensity is the strength of an electric field at any point and it is equal to the electric force per unit charge experienced by a test charge placed at that point.⇒ Intensity = Electric Force / ChargeAs electric force is a vector quantity, electric intensity is the vector quantity
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