the cullinan diamond weighs 621.35g and is estimated to have a value for 400 million. how many dollars per ounce do this equal

Answers

Answer 1

The value is equal to 18.26*10^6 dollars/ounces.  

To find the answer, we have to know about the Cullinan diamond.

What is Cullinan diamond?The Cullinan Diamond, weighing 3,106.75 carats (621.35 g) (21.9 ounces), (1.37 pounds), was found at the Premier No.2 mine in Cullinan, South Africa, on January 26, 1905. It is the largest gem-quality rough diamond ever found.We have to find the dollars per ounce do this diamond equal,It is given that the diamond weighs 621.35g and is estimated to have a value for 400 million dollars. 621.35g means 21.9 ounces. Thus, for 1 ounce,

                     [tex]21.9 Ounce= 621.35g=400*10^6 dollars\\\\value=\frac{400}{21.9} *10^6dollars/ounce=18.26*10^6dollars/ounce[/tex]

Thus, we can conclude that, the value is equal to 18.26*10^6dollars/ounces.                  

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Related Questions

if a 2 liter bottle of coke cost $2.34 how much does 1mL of coke cost?​

Answers

1mL of coke cost =$0.00117.

The cost of 2-liter bottle of coke is $2.34

The unit of 1 liter is 1000ml.

Then the 2 liter coke bottle volume is 2000ml

The formula is ( divide the total price by the quantity).

$2.34/2000=0.00117.

The capacity of a liquid is measured in metric units of volume called liters and milliliters. There are four units of measurement for liquid volume: milliliters, centiliters, liters, and kiloliters. The values of these units vary even though they all refer to the same quantity.

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Define Drift velocity​

Answers

A drift velocity in physics is the average speed that charged particles—like electrons—achieve within a material as a result of an electric field. An electron will typically move randomly across a conductor at the Fermi velocity, producing an average velocity of zero. Applying an electric field causes a little net flow in one direction to be added to this random motion; this is the drift.

Welcome to Brainly DewDr0ps :)

Drift velocity

it is a average speed of the particle reached in a random motion

What have we learned from the work of harlow shapley and others about the location of the sun in the milky way galaxy?.

Answers

We learned that We are in the disk of the Galaxy, about 5/8 of the way from the center.

What is the work of Harlow Shapley?

Shapley, who was based in Boulder, Colorado, utilised Cepheid variable stars to determine the Milky Way Galaxy's size and the Sun's location within it through the use of parallax. He put out his "liquid water belt" theory, now referred to as the idea of a livable zone, in 1953.

Milky way Galaxy-

There are many stars, grains of dust, and gas in the Milky Way. It is known as a spiral galaxy because, from the top or bottom, it would appear to be whirling like a pinwheel. About 25,000 light-years from the galaxy's nucleus, the Sun is situated on one of the spiral arms.

Approximately 5/8 of the way from the galaxy's nucleus, we are in the disc. William Herschel believed that the Sun and Earth were about in the middle of the vast cluster of stars known as the Milky Way.

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As a gaseous element condenses, the atoms become ________ and they have ________ attraction for one another.

Answers

Answer:

blank 1: close together

blank 2: more

An electron is ejected from the cathode by a photon with an energy slightly greater than the work function of the cathode. How will the final kinetic energy of the electron upon reaching the anode compare to its initial potential energy immediately after it has been ejected?.

Answers

The kinetic energy of the ejected electron (photoelectron) is equal to the energy of the photon minus the work function (E required to eject the photoelectron).

The  process of final kinetic energy of the electron upon reaching the anode compare to its initial potential energy immediately after it has been ejected -

The electron has a lot of potential energy and very little kinetic energy when it is liberated from the cathode (as it is not moving yet or moving very slowly). We are currently on the left side of the picture above. The electron accelerates and speeds up as it goes away from the cathode and toward the anode. As a result, the kinetic energy rises.The electron is likely to have the highest kinetic energy and the lowest potential energy when it reaches the anode.Therefore, the kinetic energy at the end of the electron's journey is approximately equal as the potential energy at the beginning (when the electron was released).

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An organ pipe with a fundamental frequency f is open at both ends. if one end is closed off, the fundamental frequency will:______

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The fundamental frequency will drop by half.

The lowest frequency of a periodic waveform is known as the fundamental frequency. In other words, it is the lowest frequency that can be produced by a certain instrument. The first harmonic of the instrument is another name for the fundamental frequency.

An open-ended organ pipe's basic wavelength is twice as long as the pipe itself. The fundamental wavelength is four times the pipe's length if one end is closed. The fundamental frequency decreases by half because the wavelength doubles when one end of the pipe is sealed off but the speed of sound remains unchanged.

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When discharging, what percentage of the starting voltage will the capacitor reach after 5rc?

Answers

When discharging equivalent of 0% starting voltage will the capacitor reach after 5RC.

V(t) = V0e-t/RC = V0b initially.

What is capacitor?In an electric field, a capacitor is a device that stores electrical energy. It has two terminals and is a passive electrical component. Capacitance refers to a capacitor's effect.The terminals in a capacitor are connected to two metal plates that are spaced apart by a dielectric, a non-conducting material. Two pieces of aluminum foil, along with a piece of paper, can be used to create a capacitor (and some electrical clips). It won't have a lot of storage capacity, so it won't be a great capacitor, but it will still function.What are the different types of capacitors?

The numerous kinds of capacitors and their applications.

Frequently utilized in radio tuning circuits is air.Mylar: The material most frequently used in timer circuits for clocks, alarms, and counting.Good for high-voltage applications is glass.Ceramic is used in X-ray, MRI, and other high-frequency devices.a powerful capacitor fuels hybrid and electric vehicles.

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Help is needed with this physics question ASAP. Thanks!

Answers

We can see that the range from the calculation is 310 m.

What is the range of a projectile?

When we throw something from a height and it lands at the same eight, we call it a projectile motion. A projectile must always be shot at an angle. The range of the projectile is obtained by the relation; R = u^2sin2θ/g

Thus;

g = acceleration due to gravity

θ = acute angle

u = velocity

R = (60)^2 sin2(30)/10

R = 310 m

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Alaskan natives often eat whale blubber while other groups of people typically do not. this is an example of __________. a. food variety b. stress c. palpability d. learned preferences please select the best answer from the choices provided a b c d

Answers

Alaskan Natives often eat whale blubber while other groups of people typically do not. (d)This is an example of learned preferences.

What are Learning Preferences?

Learning styles can be defined as the way in which an individual generally responds to specific learning situations and prefers to process different forms of information. Often, learning styles are regarded as the preferred methods for undertaking learning, for example, reader/writer, audio/visual etc., but this is a narrow definition. Learning preferences as a term is generally considered to take in a broader set of factors than just methods as they also take into account aspects that might impact on learning, such as: the environment and where and when students prefer to do their learning. For example, a student may prefer to work alone at home, and do her assignments late in the evening when the family has gone to bed. Another student may thrive in group situations and only wish to study during the day on-campus. In a nutshell, learning styles and preferences help to describe how people learn best in their context, and are useful in raising awareness about this.

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If a critical mass of fissionable material in a spherical shape is flattened like a hamburger, it will be?

Answers

A subcritical state will result by flattening a critical mass of fissionable material into the shape of a hamburger.

To find the answer, we need to know about the critical mass.

What is critical mass?A material's nuclear characteristics (particularly, its nuclear fission cross-section), density, shape, enrichment, purity, temperature, and environment all affect its critical mass.A mass of fissile material is considered to be in a critical state when a nuclear chain reaction in the mass is self-sustaining and there is no change in power, temperature, or neutron population. At a specific temperature, a mass might be precisely critical. A subcritical state will result by flattening a critical mass of fissionable material into the shape of a hamburger.The cross sections for fission and absorption grow as the relative neutron velocity drops.

Thus, we can conclude that, a subcritical state will result by flattening a critical mass of fissionable material into the shape of a hamburger.

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Which description best matches the image below of a hand that is using the right hand palm rule?

Answers

The right hand palm rule is that a proton moving down in the magnetic field points away from you and will experience a towards the left . Option A

What is the Flemings right hand rule?

The Flemings left and right hand rule from the foundation of electromagnetism. Recall that electromagnetism has to do with the production of current by the relative motion between a charge and a magnetic field.

According to the Flemings right hand rule, when the thumb, the fore finger and the middle finger are mutually perpendicular to each other, then the then the thumb points towards the direction of the magnetic force, the forefinger points towards the magnetic field and the middle finger points in the direction of  the current.

As such, the description that matches the image below of a hand that is using the right hand palm rule is that a proton moving down in the magnetic field points away from you and will experience a towards the left . Option A

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The astronomy club placed the telescope on the tripod and that was their choice. according to the elements of style, which sentence is the best revision?

Answers

According to the Elements of Style, the telescope was set up on the tripod by the astronomy club.

To find the answer, we need to know about the revision.

How do revisions work?Simply put, a revision is a succinct summary of a situation or narrative.The astronomy club's decision to mount the telescope on the tripod qualifies as the best revision in this instance as defined by the Elements of Style. It effectively conveys the core concept.

Thus, we can conclude that, according to the Elements of Style, the telescope was set up on the tripod by the astronomy club.

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The school is 1 km away from a teacher’s house. A teacher driving to the school has an acceleration of 20 m/s2 . When starting from rest, what would be the distance travelled in 10 seconds? How much more distance does the teacher have to travel to reach the school?​

Answers

1)

[tex]x = \frac{at {}^{2} }{2} + vt + x(0)[/tex]

[tex]x = \frac{20 \times (10) {}^{2} }{2} + 0 + 0 = \frac{2000}{2} = 1000 \: meters[/tex]

2)0 meters since she has already reached school. Note: 1000 meters = 1 kilometer

1. a 0. 338-g sample of antimony was completely reacted with 0. 295 g of chlorine gas to form antimony chloride. determine the empirical formula of the antimony chloride

Answers

The empirical formula of the antimony chloride is [tex]SbCl_{3}[/tex].

How to determine the empirical formula?

Chemical formulas for compounds that simply specify the proportions of the elements they contain rather than the exact number or arrangement of atoms are known as empirical formulas. The element in the compound with the lowest whole number ratio would be this one.

Data obtained from the question

Antimony (Sb) = 0.338 g

Chlorine (Cl) = 0.295 g

Divide by their molar mass.

Sb = 0.338 / 122 = 0.0028

Cl = 0.295 / 35.5 = 0.0083

Divide by the smallest.

Sb = 0.0028 / 0.0028 = 1

Cl = 0.0083 / 0.0028 = 3

Thus, the empirical formula of the compound is SbCl₃.

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What is the magnitude BBB of the magnetic field at the location of the charge due to the current-carrying wire

Answers

The magnitude of the magnetic field at the location of the charge due to the current-carrying wire is given as B = μI/2πr.

What is magnetic field?

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.

magnetic field due to the current-carrying wire

The magnitude of the magnetic field at the location of the charge due to the current-carrying wire is calculated as follows;

B = μI/2πr

where;

I is the current in the wirer is the location of the magnetic fieldμ is permeability of free space

Thus, the magnitude of the magnetic field at the location of the charge due to the current-carrying wire is given as B = μI/2πr.

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By what age do babies generally develop full sensitivity for taste?
By the age of
babies generally develop full sensitivity for taste.

Answers

12 to 19 months

A babies’ flavor progression starts with sweet, followed by salty, sour, and acquires bitter last. They will have full sensitivity to their taste between 12 to 19 months.

Answer: 12 to 19 months

Explanation:

The overall dimming of starlight passing through dust clouds is called?

Answers

The overall dimming of starlight passing through dust clouds is Extinction .

To find the answer, we need to know more about the Extinction.

What is Extinction ?Extinction is the electromagnetic radiation that is absorbed and scattered by gas and dust between an emitting astronomical object and the observer. Robert Julius Trumpler first identified interstellar extinction around 1930. However, Friedrich Georg Wilhelm von Struve had identified its effects in 1847, and a number of people had seen its impact on star colors but had not made the connection between it and the general abundance of galactic dust. Extinction in the visual band of frequencies (photometric system) for stars in the Milky Way plane and within a few thousand parsecs of the Earth is approximately 1.8 magnitudes per kiloparsec.

Thus, we can conclude that, the overall dimming of starlight passing through dust clouds is Extinction .

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The focal length of the lens of a simple film camera is 40. 0 mm. By what amount should the distance between the lens and the film be increased or decreased to change the focus from a person who is 25 m from the lens to one who is 4. 0 m from the lens?.

Answers

The distance should be increased by 0.4 mm.

Calculation:

Lens formula is used here.

What is the lens formula?

For a spherical mirror, the focal length, image distance, and object distance are all related by the lens equation, often known as the lens formula.

It is given by,

[tex]\frac{1}{f} = \frac{1}{v} -\frac{1}{u}[/tex]

where,

f = focal length

u = distance of the object

v = distance of the image formed

Given,

f = 40 mm

u = 4 m = 4000 mm

v =?

Using the lens formula,

[tex]\frac{1}{f} = \frac{1}{v} -\frac{1}{u}[/tex]

[tex]\frac{1}{40} = \frac{1}{v} -\frac{1}{4000}\\[/tex]

[tex]\frac{1}{v} = \frac{1}{40} + \frac{1}{4000}[/tex]

v = 39.6 mm

Change in distance = 40 - 39.6

                                 = 0.4 mm

Hence, the distance should be increased by 0.4 mm.

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0.4 mm

The distance should be increased by 0.4 mm.

We use lens formula here,

[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{v}[/tex] - [tex]\frac{1}{u}[/tex]

where,

f =  focal length

u = distance of the object

v = distance of the image formed

Given that,

f = 40 mm

u = 4 m = 4000 mm

v = ?

Using the lens formula, we get:

[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{v}[/tex] - [tex]\frac{1}{u}[/tex]

[tex]\frac{1}{40}[/tex] = [tex]\frac{1}{v}[/tex] - [tex]\frac{1}{4000}[/tex]

[tex]\frac{1}{v}[/tex] = [tex]\frac{1}{40}[/tex] + [tex]\frac{1}{4000}[/tex]

v = 39.6 mm

Change in the distance = 40 - 39.6

                                        = 0.4 mm

Therefore, the distance has to be increased by 0.4 mm

What is lens formula?For a spherical mirror, the focal length, image distance, and object distance are all related by the lens equation, often known as the lens formula. The formula is presented as follows: Lens Formula - 1/u + 1/v = 1/f, where v is the image's distance from the lens.The purpose of the lens formula:The well-designed lens formula can be used for both concave and convex lenses. The lens formula is used to determine the focal length, picture type, and image distance.

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What is the distance traveled by an object that moves with an average velocity of 8.0 m/s for a total of 4.0 seconds? please show your work in order to earn credit for this question.

Answers

The distance traveled by the object is 32 m.

What is Kinematic equation?The motion of an object with constant acceleration is described by a set of equations known as the kinematic equations. Integrals, derivatives, and rates of change must all be understood in order to solve kinematics problems.Calculation for determining distance traveled

If an object is traveling with a consistent velocity, this is referred to as uniform motion.

The equation below gives the average speed of an item moving uniformly:

v = d/t

where

v= average speed

d = traveled distance

t= The amount of time used

The object in this problem is as follows:

v = 8.0 m/s is the average speed

The time was t = 4.0 s.

We determine the distance traveled by solving for d:

d = vt = (8.0)(4.0) = 32 m

Hence, the distance traveled by the object is 32 m.

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What is the specific heat of a substance that requires 99,100 J of thermal energy to heat 3.47 kg of this substance from 11°C to 45°C?

Answers

Answer: [tex]\Large\boxed{0.84~J/g^\circ C}[/tex]

Explanation:

Given information

[tex]Q~(Energy)=99,100~J[/tex]

[tex]m=3.47~kg[/tex]

[tex]\Delta T=(T_{Final}-T_{Initial})=(45-11)=34^\circ C[/tex]

Given formula

[tex]Q=m\times c\times\Delta T[/tex]

[tex]Q=Energy\\m=mass\\c=specific~heat\\\Delta T=Change~in~temperature[/tex]

Convert the unit of mass into Grams

[tex]1~kg=1000~g\\[/tex]

[tex]3.47~kg=3.47\times 1000=3470~g[/tex]

Substitute values into the given formula

[tex](99100)=(3470)\times c \times(34)[/tex]

Simplify by multiplication

[tex]99100=117980~c[/tex]

Divide 117980 on both sides

[tex]99100\div117980=117980~c\div117980[/tex]

[tex]\Large\boxed{c=0.84~J/g^\circ C}[/tex]

Hope this helps!! :)

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Biomes on Earth have exhibited changes throughout history that have been caused by a variety of factors. Over the past 50 years, the amount of tropical rainforest acreage found throughout the world has decreased from 14.8 billion acres to 8.6 billion acres due to deforestation. What factor is likely most responsible for the changes observed in the world’s rainforests?

a.
volcanic activity
b.
human activity
c.
temperature changes
d.
solar eclipses



Please select the best answer from the choices provided


A
B
C
D

Answers

b. human activity

because humans cause deforestation and cut down many acres of trees every year which is a devastating problem

A scientist is studying the outer reef section of a coral reef. what features are they likely to see?

Answers

The features the scientist is likely to see are:

A jelly-like substance referred to as mesogleaCoral Polyps

Based on the fact that a coral reef is an underwater ecosystem that contains different animals and species, they contain a colony of coral polyps.

What is a Coral Reef?

This refers to the underwater ecosystem that contains different animals and species.

Hence, we can see that based on the fact that a scientist is studying the outer reef section of a coral reef, he would see the distinct characteristics of the coral and these are the:

the jelly-like substance referred to as mesogleaCoral Polyps

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What is an advantage of transmitting information using digital signals?
OA. Digital signals send information very quickly with excellent quality.
B. Signals sent digitally increase in strength as distance increases.
C. Digital signals do not use servers, a network, or the cloud.
D. Digital signals are more exact copies of information than analog
signals.

Answers

An advantage of transmitting information using digital signals is A. Digital signals send information very quickly with excellent quality.

A digital signal is a signal that means data as a sequence of discrete values. A digital signal can only carry on one value from a finite set of possible values at a given time. With digital signals, the physical quantity expressing the information can be many things: Variable electric current or voltage line.

What is an benefit of transmitting information using digital signals?

Digital signals can transmit information with less noise, distortion, and interference. Digital circuits can be reproduced easily in mass amounts at comparatively low costs. Digital signal processing is more flexible because DSP operations can be changed using digitally programmable systems.

How are digital signals transmitted?

Digital signals can be transmitted over transmission lines using either serial or parallel transmission. With serial communication, the sequence of bits used to represent a value is sent in sequence along a single transmission line.

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What 4 pieces of information do you need to gather while you’re stopped and waiting to turn at a traffic light?

Answers

The four pieces of information that you need to gather while you’re stopped and waiting to turn at a traffic light include the following Check rear, Check for a gap, Check path and Check signal.

What is traffic light?

Traffic light are those set of light signals found on the highway road side that helps in controlling and monitoring the moving vehicles.

The traffic light is made up of three lights which include the following:

Red light: This tells the driver to stop or wait.

Amber light: This signals the driver to stop where is safe because the light is about turning red.

Green lights: This shows that the driver can move.

When stopped by the traffic light you need to gather the following information to avoid tragic situations;

Check rear,

Check for a gap,

Check path and

Check signal.

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A 795-loop square armature coil with a side of 10. 5 cm rotates at 70. 0 rev/s in a uniform magnetic field of strength 0. 45 t. what is the rms voltage output of the generator?

Answers

The rms voltage output of the generator is 1.94 × 10⁻ ⁵ V.

RMS is an acronym for root mean squared. An RMS value is more than just the "amount of AC power that causes the same heating impact as an analogous DC power" or something along those lines.

No. of loop = 795

Diameter of the coil = 10.5 cm

Radius of the coil = 5.25 cm

Magnetic Field, B = 0.45 T

Time, t = 70.0 rev/s

              [tex]V_{rms} =\frac{NwAB}{\sqrt{2} }[/tex]

Where,

              N = No. of loop

              A = Area of the coil

              B = Magnetic Field

              [tex]V_{rms}[/tex] = Voltage rms

Area of the coil = πr²

                        = 86.57 cm²

w = 2π/t

   =( 2 × 3.141)/70.0

   = 0.089

[tex]V_{rms} =\frac{795*0.089*86.57* 0.45}{\sqrt{2} }\\\\V_{rms} =\frac{2756.36}{\sqrt{2} }\\\\\\V_{rms} =\frac{2756.36}{1.414 }\\\\V_{rms} = 1.94 * 10^-^5 V[/tex]

Therefore, the rms voltage output of the generator is 1.94 × 10⁻ ⁵ V.

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When a piece of paper is held with one face perpendicular to a uniform electric field the flux through it is 25 n·m2/c. when the paper is turned 25° with respect to the field the flux through it is:_____.

Answers

The flux through the paper when the paper is turned 25° with respect to field will be 22.67 [tex]Nm^{2} /C[/tex].

We have a piece of paper is held with one face perpendicular to a uniform electric field the flux through it is 25 [tex]Nm^{2} /C[/tex].

Now we have to calculate the flux through the paper if it is turned 25° with respect to the field.

What do you mean by Electric flux? What is the formula to calculate it?

Electric flux (E) through a surface is defined as the dot product of Electric field vector and Normal vector to the surface. The formula to calculate the electric flux is -

Φ = [tex]\vec{E}.\vec{A}[/tex] = E x A x cosθ

In the question it is given that when one face perpendicular to a uniform electric field the flux through it is 25 [tex]Nm^{2} /C[/tex]. In this case θ = [tex]0^{o}[/tex].

Therefore -

E x A x cos [tex]0^{o}[/tex] = 25

EA = 25 [tex]Nm^{2} /C[/tex]

When the paper is turned [tex]25^{o}[/tex] with respect to field, then the flux through it can be calculated as follows -

Φ = 25 x cos ([tex]25^{o}[/tex]) = 22.67 [tex]Nm^{2} /C[/tex].

Hence, the flux through the paper will be 22.67 [tex]Nm^{2} /C[/tex].

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The distance covered by a car moving with a speed of 36 km/h in 15m is (a) 0.9 km (b) 9.0 km (C) 90 km (d) 900 km​

Answers

Given :

Speed of a car = 36 km/h

Time taken = 15 minutes

Converting the time into hour:-

= 15/60 hours

= 1/4 hours

As we know that,

Distance = Speed × Time

= (36 × 1/4) kilometres

= 9 kilometres

Hence the distance covered is 9 kilometres.

Option b) 9.0 km

This is a uniform rectilinear motion exercise.

To start solving this exercise, we obtain the following data:

Data:v = 36 km/hd = ¿?t = 15 min = 0.25 hr

                                     Minutes to hour converter

                                                  60 min = 1 hour

                                       [tex]\boldsymbol{\sf15\not{min}*\dfrac{1 \ hr}{60 \not{min}}=0.25 \ hr }}[/tex]

To calculate distance, speed is multiplied by time.

We apply the following formula: d = v * t

We substitute our data into the formula:

                                     [tex]\boldsymbol{\sf{d=v*t}}[/tex]

                                     [tex]\boldsymbol{\sf{d=36 \dfrac{km}{\not{h}}*0.25 \not{h} }}[/tex]

                                     [tex]\boldsymbol{\sf{d=9 \ km}}[/tex]

The distance traveled by a car moving with a speed of 36 km/h in 15 m is 9 km.

Therefore, the correct option is "B".

Observing star clusters will give astronomers needed data for stellar evolution because all the stars in the cluster have the same ___.

Answers

Observing star clusters will give astronomers needed data for stellar evolution because all the stars in the have the same Age

A star changes over time through a process called stellar evolution. A star can have a life that is substantially longer than the age of the universe, ranging from a few million years for the most massive to billions of years for the least massive.

Stellar evolution is a term used to describe how stars change through time. Most stars don't seem to change much on a human time scale, but if we looked for billions of years, we would witness how stars are born, how they grow older, and then how they die. Stellar evolution is significant because it produces the majority of the components.

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When one member of a binary star system is a black hole, and astronomers detect flickering x-rays coming from the system, where are these x-rays usually coming from?

Answers

When one member of a binary star system is a black hole, and astronomers detect flickering x-rays coming from the system, these x-rays usually coming from a disk of material around the black hole (material that has been pulled from the companion star and is falling toward the black hole).

A binary black hole (BBH) is a system consisting of two black holes in close orbit around each other. Like black holes themselves, binary black holes are often divided into stellar binary black holes, formed either as remnants of high-mass binary star systems or by dynamic processes and mutual capture; and binary supermassive black holes, believed to be a result of galactic mergers.

For many years, proving the existence of binary black holes was made difficult because of the nature of black holes themselves and the limited means of detection available.

However, in the event that a pair of black holes were to merge, an immense amount of energy should be given off as gravitational waves, with distinctive waveforms that can be calculated using general relativity.

Therefore, during the late 20th and early 21st century, binary black holes became of great interest scientifically as a potential source of such waves and a means by which gravitational waves could be proven to exist. Binary black hole mergers would be one of the strongest known sources of gravitational waves in the universe, and thus offer a good chance of directly detecting such waves.

As the orbiting black holes give off these waves, the orbit decays, and the orbital period decreases. This stage is called binary black hole inspiral. The black holes will merge once they are close enough. Once merged, the single hole settles down to a stable form, via a stage called ringdown, where any distortion in the shape is dissipated as more gravitational waves. In the final fraction of a second the black holes can reach extremely high velocity, and the gravitational wave amplitude reaches its peak.

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The electron in a ground-state h atom absorbs a photon of wavelength 97. 25 nm. to what energy level does the electron move?

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The electron in a ground-state H atom absorbs a photon of wavelength 97. 25 nm.  Energy level till where the electron move is 4

Rydberg's equation is formula which signifies relation of wavelength of incident photon and the energy level.

Rydberg's equation is used to find out the relation between the wavelength and the Energy Levels:

1/λ = RZ² (1/n₁² - 1/n₂²)

where, λ is wavelength = 97.25 nm

           R is the Rydberg constant = 1.0967 × 10⁷ m

           n₁ is the initial energy level i.e. the Ground state, n₁  = 1

           n₂ is the higher energy level

On substitution of the above value:

1/97.25 × 10⁻⁹ = 1.0967 × 10⁷ ( 1 -  1/n₂²)

On solving,

⇒ n₂ = 4

Hence, the higher energy level is 4

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