The lens of a telescope has a diameter of 25 cm. You are using it to look at two stars that are 2 × 1017 m away from you and 6 × 109 m from each other. You are measuring light with a wavelength of 700 nm. As the light goes through the lens, it diffracts. a. Is it possible, using this telescope, to see the two stars as separate stars? b. What is the minimum possible lens diameter you would need in order to resolve these two stars?

Answers

Answer 1

Answer:

a)It is NOT possible using this telescope, to see the two stars as separate stars

b)[tex]d_{min} =28.466m[/tex]

Explanation:

From the question we are told that:  

Diameter of lens,[tex]d = 25 cm \approx 0.25 m[/tex]

Distance from both star [tex]D_f= 2*10^{17} m[/tex]

Distance between both stars [tex]D_b= 6*10^9 m[/tex]

Wavelength of light [tex]\lambda =700 nm \approx 700*10^-9 m[/tex]

Generally the equation for angle subtended by the two stars at the lens  is mathematically given by

 [tex]\theta=\frac{D_f}{D_b}[/tex]

 [tex]\theta=\frac{6*10^9}{2*10^{17}}[/tex]

 [tex]\theta=3.0*10^{-8} rad[/tex]

Generally the equation for minimum angular separation of two object is mathematically given by

[tex]\theta_{min} = 1.22*\lambda/d[/tex]  

[tex]\theta_{min}= \frac{1.22*700*10^-9}{0.25}[/tex]  

[tex]\theta_{min}= 3.416*10^-^6 rad[/tex]

Therefore

 [tex]\theta < \theta_{min}[/tex]

[tex]3.0*10^{-8} rad< 3.416*10^-^6 rad[/tex]

It is NOT possible using this telescope, to see the two stars as separate stars

b)

Generally the equation for minimum diameter of the lens is mathematically given by

  [tex]d_{min} =\frac{ 1.22*\lambda}{\theta}[/tex]

  [tex]d_{min} =\frac{ 1.22*700*10^{-9}}{3*10^{-8}}[/tex]

  [tex]d_{min} =28.466m[/tex]


Related Questions

can we detect em waves with our eyes?

tru or false

Answers

Explanation:

TRUE

Your eyes detect electromagnetic waves that are roughly the size of a virus. Your brain interprets the various energies of visible light as different colors, ranging from red to violet. ... On the other end of the spectrum are gamma rays, with wavelengths billions of times smaller than those of visible light

True we can
Hope this helps

Which best describes the type of lens that would help someone with one of these eye conditions? Concave lenses would help someone who is nearsighted because the lenses make objects look smaller and closer. Concave lenses would help someone who is farsighted because the lenses make objects look smaller and closer. Convex lenses would help someone who is nearsighted because the lenses can make objects look smaller and closer. Convex lenses would help someone who is nearsighted because the lenses can make objects look larger and farther away.

Answers

Answer:

The answer is "Option a".

Explanation:

The concave lenses are there for narrow-sighted people, convex for the far people. In eyewear, curved lenses are used to rectify visibility. Since in nearsighted individuals the width between the eye lens as well as the retina is larger than should be, these readers can't clearly distinguish distant things.

Answer:

The correct answer is - Concave lenses would help someone who is nearsighted because the lenses make objects look smaller and closer.

Explanation:

Concave lenses are related to the condition of nearsightedness whereas convex lens is related to the farsightedness. Nearsightedness is the condition where a person can see closer objects clearly but the objects at a farther distance can not see properly.

Concave lenses make objects look smaller and closer as it makes the image farther than it is actually. It forms a virtual image as it is a diverging lens.

A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000 kg.
(a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 20.0 m/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.
(b) How high a hill can the bus climb with this stored energy and still have a speed of 3.00 m/s at the top of the hill? Explicitly show how you follow the steps in the Problem-Solving Strategy for Rotational Energy.

Answers

Answer:

Explanation:

moment of inertia of flywheel = 1/2 m R²

= .5  x 1500 x .6²

= 270 kg m²

If required angular velocity be ω

rotational kinetic energy = 1/2 I ω²

= .5 x 270 x ω² = 135 ω²

kinetic energy of bus when its velocity is 20 m/s

= 1/2 x 10000 x 20²

= 2000000 J

Given 90 % of rotational kinetic energy is converted into bus's kinetic energy

135 ω² x 0.9 = 2000000 J

ω²=16461

ω = 128.3 radian /s

b )

Let the height required be h .

Total energy of bus at the top of hill = mgh + 1/2 m v²

m ( gh + .5 v²)

= 10000 ( 9.8h + .5 x 3²)

From conservation of mechanical energy theorem

10000 ( 9.8h + .5 x 3²) = 2000000

9.8h + .5 x 3² = 200

9.8h  = 195.5

h = 19.95 m .

Which statement describes the energy transformation that occurs when a person eats a sandwich to gain energy for a long hike?
A. Electrical energy stored in the molecules of the sandwich is transformed into chemical energy.
B. Kinetic energy stored in the bonds of the molecules of the sandwich is transformed into chemical energy.
C. Thermal energy stored in the molecules of the sandwich is transformed into kinetic energy.
D. Chemical energy stored in the bonds of the molecules of the sandwich is transformed into kinetic energy.

Answers

D. Chemical energy stored in the bonds of the molecules of the sandwich is transformed into kinetic energy. This statement describes the energy transformation that occurs when a person eats a sandwich to gain energy for a long hike

What is Law of energy conservation ?

Law of energy conservation states that energy can neither be created nor be destroyed and can only transform from one form to other form.

From Law of energy conservation we can say that Digestion starts from that very point when we put food in our mouth so the moment you eat the sandwich, it starts getting digested and when it reaches the stomach ,your body converts its chemical energy into the movement of your muscles.

hence , correct option is :

D. Chemical energy stored in the bonds of the molecules of the sandwich is transformed into kinetic energy.

learn more about Law of energy conservation  :

https://brainly.com/question/12050604?referrer=searchResults

#SPJ2

What effect would constriction of the blood vessels have on the body?

Answers

Answer:

When blood vessels constrict, the flow of blood is restricted or decreased, thus retaining body heat or increasing vascular resistance. this makes the skin turn paler because the blood reaches the surface, reducing the radiation of heat. hope this helps

A(n) _________ is an object that is thrown.​

Answers

Answer:

projectile

Explanation:

Answer:

the answer is projectile

Explanation:

this is because like take a nerf gun for example when u fire it PROJECTS the dart from the gun. may i be marked brainliest?

A) write the name of any two instrument based on atmoshpheric pressure.
B)Which chemical is used to increase the setting period of cement?
C)What are the near point and far point of normal eye?​

Answers

Answer:

Explanation:(a)Mercury Barometer and Aneroid Barometer

(b)Gypsum

(c)Near point of human eye is 25 cm and the far point is infinity.

What is the Average Depth of the ocean?

Answers

On average, the ocean is 2.3 miles deep. Hope this helps!

Answer:

The average depth of the ocean is about 12,100 feet.

Explanation:

A polythene rod may be charged by rubbing it with a cloth while being held in the hand but a metal rod cannot be charged in a similar way. Explain why

Answers

Answer:

Explanation:

This is because polythene rod is an insulator , therefore when it is rubbed with a cloth , electrons move easily therefore making it charged but

Metal rod is a conductor, it conduct heat . Therefore, their atoms have electrons that is constantly in motion. Therefore rubbing it with a cloth will make any difference in making it charged because it have very huge number of stable electrons which will not allow more electrons to move through them.

Mainly need help with part A. No links, thanks!​

Answers

Answer:

R = 4Ω

Explanation:

If we have two resistors with resistances R1 and R2 in series the total resistance is R = R1 + R2

If the resistances are in parallel, the total resistance is given by:

1/R = 1/R1 + 1/R2.

First, we have a resistor with R1 = 1.5Ω

This resistor is connected in series with a parallel part (let's find the resistance of this parallel part), in one branch we have two resistors in series with resistances:

R2 = 8Ω and R3 = 4Ω

Because these are in series, the resistance of that branch is:

R = 8Ω + 4Ω = 12Ω

In the other branch, we have a single resistor of R4 = 4Ω

The resistance of the parallel part is:

1/R = 1/12Ω + 1/4Ω = 1/12Ω + 3/12Ω = 4/12Ω = 1/3Ω

1/R = 1/3Ω

R = 3Ω

Then we have a resistor (the first one, R1 = 1.5Ω) in series with a resistor of 3Ω.

Then the total resistance is:

R = 1Ω + 3Ω = 4Ω

How is it possible a plant can sustain itself for 70 years locked inside a jar ?

Answers

Answer:

If you are talking about the experiment in which mouse and plants are kept in a closed glass jar in sunlight so in that case, they both survive because the CO2 released by the respiration of mouse is being utilized by the plants and fixed ( phosynthesis) and O2 is released as by product, which is taken by the mouse for respiration.

A 12 kg ball is rolling with a velocity of 10 m/s. How much kinetic energy does the ball have?

Answers

Answer:

600 J

Explanation:

KE = 1/2 mv^2

An object's velocity/speed increases, multiplied by a factor of 7. What factor would its Kinetic Energy increase by?

Answers

Answer:

k.E= 49 ms^-2

Explanation:

k.E= 1/2 mv^2

From that formula of k.E

K.E is directly proportional to the ( velocity)^2

K.E directly proportional to (7)^2

so that k.E increase by 49

NO LINKS OR NON USEFUL ANSWERS!!!!!!!! What makes a screw able to hold more or less weight?

Answers

Answer:

thread

Explanation:n general, a screw can hold 80-100 pounds. Several factors can impact on the amount of weight the screw can hold. This includes the length of the screw, the type of thread, the quality of the screw, the way it was inserted, and the type of forces that will be acting on it.

Which statement about the minerals plagioclase feldspar, gypsum, biotite mica, and talc can best be inferred from the chart? (1) These minerals have the same

chemical and physical properties. (2) These minerals have different chemical properties, but they have similar physical properties. (3) These minerals have different physical and chemical properties, but they have identical uses. (4) The physical and chemical properties of these minerals determine how humans use them.

Answers

Answer:

(4) The physical and chemical properties of these minerals determine how humans use them.

Explanation:

All the materials and the metals found on earth shows certain characteristics naturally or in their physical state. These physical characteristics can be their look, their structure, their color, strength, melting point, boiling point, density, etc.

And chemical properties of the metals are defined as those characteristics or features of the metals that it exhibits when these metals reacts chemically.

The physical properties as well as the chemical properties distinguishes each metal from each other. These properties determines how people use these metals in their life.

A step down transformer has a primary coil consisting of 700 tons and a secondary coil consisting of 300 times. What is the potential difference in the second circuit, if the primary coil is supplied with an effective AC potential difference of 110 V?

Answers

Answer is 47.14 v

by the relation

[tex]\frac{V out}{V in } = \frac{N secondary}{N primary }[/tex]

Matter cant be created or destroyed
true
false

Answers

Answer: True

no matter can be created nor destroyed in any process. if something is burned, made in a compound or anything like that all matter is still the same amount from beginning to end.

Explanation:

The correct answer would be True

Which is not a way in which life is dependent on photosynthesis?
A.) Organisms breathe in the oxygen
B.) Its sugar is used as a food
C.) Helps cure disease
D.) Helps reduce global warming

Answers

Answer:

The answer is A

Explanation:

I have had this question before

hope this helps!! <3

The one that is not a way in which life is dependent on photosynthesis is that helping in cure of diseases. The correct option is C.

What is photosynthesis?

Photosynthesis is a technique that plants as well as other lifeforms use to transform light energy into chemical energy that can then be released to fuel the organism's activities via cellular respiration.

Photosynthesis' primary function is to convert solar energy into chemical energy and then store that chemical energy for later use. This process powers the majority of the planet's living systems.

Photosynthesis is essential to all living things because it is the primary source of oxygen in the atmosphere.

Without photosynthetic activity, the carbon cycle would not have been possible, oxygen-requiring life would perish, and plants would perish.

Due to photosynthesis, the organisms breathe in the oxygen, sugar is used as a food, and also helps to lower down global warming.

Thus, the correct option is C.

For more details regarding photosynthesis, visit:

https://brainly.com/question/1388366

#SPJ2

The shortening of a transmitted signal's wavelength and/or an increase in its frequency, which indicates that the object is
moving toward the observer, is called the

Answers

Answer: The Doppler effect occurs when a source of a wave is moving relative to an observer (or the observer is moving relative to the source). In this case, the apparent frequency of the sound, as heard/seen by the observer, is shifted with respect to the original frequency of the wave.

More specifically, the relationship between the apparent frequency, f', and the original frequency, f, is given by:

where:

is the velocity of the wave

is the velocity of the observer relative to the source, and it is positive if the observer is moving towards the source, and negative if the observer is moving away from the source

is the velocity of the source relative to the observer, and it is positive if the source is moving away from the observer, and negative if the source is moving towards the observer

The doppler effect occurs in many daily-life situations: for instance, when an ambulance approaches you, you hear an increase in the apparent frequency of the siren due to the Doppler effect. Another example is the movements of distant galaxies from us: when they move away from us, the apparent frequency of the light they emit decreases, so their wavelengths appear to increase towards the red color (red-shift); on the contrary, when they are moving towards us, the apparent frequency seems to increase, so the wavelength seems to decrease towards the blue color (blue-shift).

Explanation:

A food web is shown below. Hawk Fox Snake Mouse Frog Grasshopper Beetle Fungus Grass Which organisms could be both predators and prey depending on the relationship represented on the food web? A Hawk and fox B Grasshopper and beetle C Snake, frog, and mouse D Fungus and grass​

Answers

Answer:

A

A fox and hawk can be both a predator and prey

Please help, I’m being timed! I will give brainliest!!!!!!!

Answers

Answer:

The Answer is gonna be A. It will speed up

Explanation :if it has the same velocity it will only change if the weight is less

This is the Answer

I hope I helped

I hope you are having a great day :3:3:3:3:3:3

Answer:

B

Explanation:

Why would it speed up if it is the same velocity??

It would stay at teh same speed. It would only increase if it weighed less.

Which beach balls have potential energy and not kinetic energy?

Answers

Answer:

Beach ball 4

Explanation:

it is because, Potential Energy = M G H

P(e) directly proportional to H.

if H increase then P energy also increases

A DVD spins with a period of 0.016 seconds. With what frequency is the DVD
spinning?

Answers

Answer:

It spins on the side where it looks shiny.

Explanation:

Answer:

9120-25600 RPM mate

Explanation:

I know your thinking it's crazy because of the other answer. but don't worry i looked it up for ya.

Tammy is a forensic investigator examining a body at a crime scene. She notes that the body is stiff but still flexible. What does she know about the time of death?

Answers

i may be wrong but does it mean it was revent? because i know shortly after someone dies your body becomes fully stiff so maybe it was recent and it's in the process off stiffening up

Answer:

It happened less than 8 hours ago.

Explanation:

Over the first eight hours, the body begins to stiffen but is still flexible.

Using the information provided in the table, which statement BEST describes the object's motion?

Answers

Answer:

the velocity is decreasing therefore acceleration is negative

An asteroid has a mean radius equal to 17 times that of Earth. Using Kepler's 3rd law find its period. T^2=a^3

Answers

Answer:

If T^2 = a^3

T1^2 / T2^2 = a1^3 / a2^3

Or T2^2 = T1^2 * ( a2^3 / a1^3)

Given T1 = 1 yr and a2 / a1 = 17

Then T2^2 = 1 * 17^3

or T2 = 70 yrs

¿Qué proporción deberían guardar los platos de una prensa hidráulica para que, aplicando 40N de fuerza en el plato menor, podamos levantar un objeto de 40Kg en el plato mayor?

Answers

Answer:

El área de la placa más grande es aproximadamente 9,81 veces el tamaño del área de la placa más pequeña

Explanation:

Los parámetros dados son;

La fuerza aplicada sobre la placa más pequeña, F = 40 N

El culo del objeto levantado en la placa más grande, m = 40 kg

El peso del objeto, W = 40 kg × 9,81 m / s² = 392,4 N

Tenemos la presión en el plato pequeño = La presión en el plato más grande

Por lo tanto;

F / A₁ = W / A₂

Dónde;

A₁ = El área del plato pequeño

A₂ = El área de la placa más grande

Por lo tanto, obtenemos;

40 N / (A₁) = 392,4 N / (A₂)

A₂ / A₁ = 392,4 N / (40 N) = 9,81

∴ A₂ = A₁ × 9,81

El área de la placa más grande, A₂ = 9,81 (9,81 m / s² ≈ g) multiplicado por el área de la placa más pequeña A₁.

Which of the following wave on the electromagnetic spectrum has more energy? Ultraviolet or x-rays?

Answers

Answer:  ultraviolet

Explanation:

Reflection off of a smooth surface like a mirror is an example of diffuse reflection.

true or false?

Answers

Answer:

true

Explanation:

Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. ... This is called diffuse reflection. Diffuse reflection is when light hits an object and reflects in lots of different directions.

Answer:

false

its regular reflection.

hope it helps.

Which statement best describes Cleo's mistake? Light travels through air and water in angled, scattered paths. Light does not change direction when it moves from air into water. Light slows down when it moves from air into water. Light bends away from the normal when it moves from air into water.

Answers

The question (obtained from the internet);

Cleo stated that light travels through air in straight paths, and when it moves from air to water, light changes direction, speeds up, and bends towards the normal

Answer:

The statement that best describes Cleo's mistake is;

Light slows down when it moves from air into water

Explanation:

The question;

Cleo stated that light travels through air in straight paths, and when it moves from air to water, light changes direction, speeds up, and bends towards the normal

The speed of light in water = 225,000 km/s

The speed of light in air = 299,702,547 m/s

The speed of light in vacuum = 299,792,458 m/s

Therefore, light slows down when it moves from a less dense medium to a denser medium

Light moves closer (bends) towards the normal when it moves from air into water. Light therefore, changes direction, and light moves in straight path which is known as rectilinear motion

Therefore, the statement that describes Cleo's mistake is that light actually slows down when it moves from air into water.

Other Questions
What different forms of energy are present when an egg crashes into the egg catcher? Substitution method please help :3 In the equation (x+2)2+(y-3)2=4, the diameter of the circle is...16432 solve for x by using the elimination method what is the area of the red shape Drag each label to the correct location on the image. Not all lables will be used.Identify the roles of each person in this picture.serverexecutive chefevents managercookpastry cheffood stylist how do some cells beomce brain cells and others become skin cells, when the dna in all the cells is exactly the same. In other words, if the instructions are exactly the same, how does one become a brain cell and another a skin cell? what is the value of 3 in 728.36 pls help me first of all how do you add a photo? please help for 30 points!! A microphone is attached to a spring that is suspended from the ceiling, as the drawing indicates. Directly below on the floor is a stationary 440-Hz source of sound. The microphone vibrates up and down in simple harmonic motion with a period of 2.0 s. The difference between the maximum and minimum sound frequencies detected by the microphone is 2.1 Hz. Ignoring any reflections of sound in the room and using 343 m /s for the speed of sound, determine the amplitude of the simple harmonic motion. The body of a 154 pound person contains approximately 210-1 milligrams of gold and 6101 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body? answer asapppldfghjkl;uytjfgnvblh The triangle shown is rotated about line m.What is the approximate base area of the resulting three-dimensional figure?Area of a circle: A = rr?m10 cm8 cm38 sq. cm113 sq. cm201 sq. cm314 sq. cm6 cm Which of the following options have the same value as 30% percent of 81? Describe the purpose of Los Alamos National Labs during and after WWII. And please no links. Which of the angles below are supplementary?A.1and3 B.3and4 C.4and2 D3and1 What would happen tooffspring if crossing over didnot occur? Horticulture 120 pts (HURRY)Auto-steer technology is dependent on the use of tracking relayed from satellites to receivers and transmitters in the farm equipment. Find the measure of minor arc QN.M0KIN38