The volume of a unit cell is 4.3 × 10⁻¹⁰ pm³.
We need to start with the features of a face-centered cubic system in order to be able to determine the edge length of the unit cell.
As we know, a face-centered cubic system is characterized by a unit cell that has a total of 14 lattice points.
one lattice point for every one of the eight corners of the unit cell.one lattice point for every one of the six faces of the unit cell.Now, these lattice points will contain
1/8th of an atom in every corner lattice point.1/2 of an atom in every face lattice point.Assume that r is the edge length of the unit cell and that r is the radius of an iron atom. You'll see that we can represent x in terms of the cell's diagonal, d, using Pythagoras' Theorem.
[tex]d^2 = x^2+ x^2[/tex]
[tex]d^2=2x^2[/tex]
The cell's diagonal will be equal to one radius from the atom in the top corner, two from the atom in the face, and one from the atom in the lower corner.
[tex]d= r+2r+r = 4r[/tex]
This means that we have,
[tex](4r)^2=2x^2[/tex]
[tex]16.r^2 = 2x^2 \\x=\sqrt{8r^2}[/tex]
This is equivalent to
[tex]x=2\sqrt{2} r = 2\sqrt{2} .124= 350.7 pm[/tex]
So, the edge length of the unit cell is equal to 350.7 pm.
The volume of a unit cell. As we know, the volume of a cube is given by the formula
V = [tex]l[/tex] × [tex]l[/tex] × [tex]l[/tex]
[tex]l[/tex] = the edge length of the cube
Volume = (350.7)³ pm³
= 4.3 × 10⁻¹⁰ pm³
= 4.3e-30 cm³
Therefore, the volume of the unit cell is 4.3 × 10⁻¹⁰ pm³.
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Which of the following is not an EM wave?
A. Microwave
B. Visible light
C. X-rays
D. Sound
Answer:
D. Sound
Explanation:
Waves: one of the ways that energy may be transferred. Waves can be described as oscillations.
Electromagnetic (EM) waves are transverse waves.
EM waves can be separated into seven groups in the spectrum. From long wavelength to short wavelength:
Radio wavesMicrowavesInfraredVisible lightUltravioletX-raysGamma raysSound waves are longitudinal waves.
The direction of oscillations is different between longitudinal and transverse waves:
Longitudinal waves: the vibrations are parallel to the direction of wave travel. Transverse waves: the vibrations are at right angles to the direction of wave travel.Answer:
Sound
Explanation:
EN waves are known as electromagnetic waves
They can be identified from the electromagnetic spectrumThey are divided into seven parts
MicrowavesRadiowavesVisible lightX-raysUV raysGamma raysInfraredWe can only watch Visible light not others .
Sound is not transverse wave
A beaker was weighed on an electronic balance. the display showed 56. 078 grams. what mass should you record for the empty beaker?
Answer:
56.18 grams because you have to round it off
A projectile is fired into the air at a 35o angle to the horizontal and an initial velocity of 120 m/s. what are the x and y components of the velocity vector?
Answer:
See below
Explanation:
X component = 120 * cos 35° = 98.298 m/s
Y component = 120 * sin 35° = 68.829 m/s
Any object launched into space with only gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. The x and y components of the velocity vector are 98.298 m/s and 68.829 m/s.
When a particle is thrown obliquely close to the Earth's surface, it travels along a curving route while experiencing constant acceleration. Always pointing in the direction of the Earth's center is this curving path. Such a particle's motion is referred to as projectile motion, and its trajectory is known as the projectile's trajectory.
The components of the projectile are:
X component = 120 × cos 35° = 98.298 m/s
Y component = 120 × sin 35° = 68.829 m/s
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I NEED A SERIOUS ANSWER PLS. I WILL MARK YOU BRAINLIEST!
Answer:
The Object distance is 53.125cm. So the right option will be Option (c)
Explanation:
The converging lens has focal length positive, so it means:
f=17cm
As the real image is formed so the distance of the image will be taken as positive. Let it is represented by q, So:
q=25cm
Let the distance of object is p, it will obtained from the following formula:
If a car driving down the road doubles its speed what happens to its kinetic energy?
Answer:
Kinetic energy doubles
What is the concentration of the acute leukemia cc95 combination value in micromolar (μm) units?
The concentration of the acute leukemia cc95 combination value in micromolar (μm) units is 6 × 10-4 μM.
Acute lymphocytic leukemia (ALL) is also called acute lymphoblastic leukemia. “Acute” means that the leukemia can progress quickly, and if not treated, would probably be fatal within a few months. "Lymphocytic" means it develops from early (immature) forms of lymphocytes, a type of white blood cell.
A rapidly progressing cancer that starts in blood-forming tissue such as the bone marrow, and causes large numbers of white blood cells to be produced and enter the blood stream.
In acute leukemia, the abnormal blood cells are immature blood cells (blasts). They can't carry out their normal functions, and they multiply rapidly, so the disease worsens quickly. Acute leukemia requires aggressive, timely treatment.
This corresponds to 0.6 × 10^-9 M × (1 μM/1 × 10^-6 M) = 0.6 × 10^-3 μM = 6 × 10-4 μM.
Acute myeloid leukemia (AML) is caused by a DNA mutation in the stem cells in your bone marrow that produce red blood cells, platelets and infection-fighting white blood cells. The mutation causes the stem cells to produce many more white blood cells than are needed.
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28. Water on the road can cause a vehicle to hydroplane. Your car may hydroplane at speeds as low as:
Your car may hydroplane at speed as low as 56 Kilometer per hour
What can cause a car to Hydroplane ?Hydroplaning occurs mostly during the raining period. When the tire of the car continue to loose grip and start skidding on the road surface.
It is true that water on the road can cause a vehicle to hydroplane. And your car may hydroplane at speeds as low as 35 mile per hour or approximately 56 kilometer per hour.
The three main factors of the car hydroplaning are;
Water depth which can determine how quicker a car can lose traction.Increase in speed of the vehicle. Increase in speed causes wet traction to reduce.Tire tread depth. Worn out tires could have less ability to resist hydroplaning.Therefore, your car may hydroplane at speeds as low as 56 Kilometer per hour approximately.
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A thin hoop with a radius of 10 cm and a mass of 3.0 kg is rotating about its center with an angular speed of 3.5 rad/s. What is its kinetic energy? group of answer choices
The kinetic energy is 1.8 × 10^ -1 J.
Rolling items each rotate and have linear (or translational) movement. consequently, they've both linear and rotational kinetic power. since the rotational kinetic strength of a rolling object depends at the inertia of the item.
The only kinetic energy involved here is rotational kinetic energy.
Kinetic Energy (Rotational) = 1/2Iω²
I = Moment of Inertia of a thin hoop =(Mass)(Radius)2
Mass = 3.0 kg
Radius = 10 cm = 0.10 m
ω = angular speed = 3.5 rad/s
Kinetic Energy (Rotational) = 1/2 * 3 * 12.25 J.
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The Kinetic energy is of thin hoop can be found out using the formulas of Rotational Kinetic Energy. The Kinetic Energy of the hoop is 18.375J.
Rolling items rotate and have linear or translational movement. consequently, they have both linear and rotational kinetic power. Since the rotational kinetic strength of a rolling object depends on the Inertia of the item.
The only kinetic energy involved here is Rotational Kinetic Energy.
Rotational Kinetic Energy = 1/2Iω²
where, I = Moment of Inertia of a thin hoop =(Mass)(Radius)²
where, Mass of hoop, m = 3.0 kg
Radius of loop, R = 10 cm = 0.10 m
Angular speed, w= 3.5 rad/s
Since, Rotational Kinetic Energy = 1/2 × 3 × 12.25 J.
Rotational Kinetic Energy = 18.375J
Hence, Rotational Kinetic Energy is 18.375J
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According to hubble's law, with = 70 km/s. What is the recessional velocity of a galaxy at a distance of 180 mpc?
The recessional velocity of a galaxy at a distance of 180 mpc will be 70 km/sec
Hubble's law, which says simply that a galaxy's velocity (or as is sometimes plotted, its redshift) is directly proportional to its distance, also tells us something important about the state of the universe. If the universe is static and unchanging, there should be no correlation between distance and velocity.
Recessional velocity is the rate at which an extragalactic astronomical object recedes (becomes more distant) from an observer as a result of the expansion of the universe. It can be measured by observing the wavelength shifts of spectral lines emitted by the object, known as the object's cosmological redshift.
Recessional velocity = Hubble's constant * distance
= 70 km/sec/Mpc * 180 Mpc
= 70 km/sec
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If your heart is beating at 76. 0 beats per minute, what is the frequency of your heart's oscillations in hertz?
If the heart is beating at 76. 0 beats per minute, the Frequency of heart's oscillations in hertz is 1.25 Hertz.
The Frequency is defined as the number of oscillations completed in 1s.
Our heart beats continuously giving rise to the frequency of the heart.
Measuring frequency would be possible if we measure the time in seconds.
75 beats per minute means that 75 beats occur in 60s.
Frequency = Number of beats / Total time taken
Frequency = 75 / 60
Frequency = 1.25 Hz
Hence, number of beats per second is 1.25 Beats.
Beats per second or Cycles per second is same as the frequency of oscillation called as Hertz (Hz)
Hence, frequency of the heart oscillation is 1.25 Hertz (Hz).
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Consider light energy that is momentarily absorbed in glass and then re-emitted. Compared to the absorbed light, the frequency of the re-emitted light is?
The frequency of the re-emitted light is identical to that of the absorbed light.
To find the answer, we need to know more about the frequency of light.
Why the re-emitted light has the same frequency?The wavelength of the light that is momentarily absorbed in glass and then re-emitted is the same, which explains why the re-emitted light has the same frequency as the absorbed light and the frequency of the absorbed light is the same. An electromagnetic wave's energy is inversely related to its frequency. The relationship between the wave's wavelength and frequency depends on the speed of light:[tex]frequency=\frac{c}{wave length}[/tex] , c is the speed of light.
Despite not having mass, light still has energy, and that energy is conserved. As a result, in order for there to be energy conservation, the energy of the light that is received and reemitted must be equal.Thus, we can conclude that, the re-emitted light's frequency matches the absorbed light's frequency.
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What would the speed of an observer be if a red (4. 688 × 1014 hz) traffic light appeared green (5. 555 × 1014 hz) to the observer?
The speed of an observer be if a red (4. 688 × 1014 hz) traffic light appeared green (5. 555 × 1014 hz) to the observer is 0.185v using doppler effect
Utilize the approximation of the Doppler shift formula, (delta f)/f = V/c, for V/c 1 to determine which V on the list is closest. It's a little trickier to calculate the precise Doppler shift formula for light. Use what you are aware of. It is often exclusively covered in relativity theory classes. The formula for the Doppler shift of sound heard by a moving observer is NOT the same.
5.551*107 m/s = (Delta f)/f = 0.185 V.
Doppler radar transmits energy in pulses and detects any signal that is returned. The "Doppler shift" seen with sound waves is comparable to the phase shift effect. Due to compression (a change in phase) of sound waves, the "Doppler shift" causes the sound pitch of an item traveling toward you to be higher.
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Compare two separate regions of space. the electrical potential energy is the same in both regions. if the amount of charge in one region is larger, then potential in that region must be:_________
Compare two separate regions of space. the electrical potential energy is the same in both regions. if the amount of charge in one region is larger, then potential in that region must be smaller.
The basic difference between electric potential and electric potential energy is that Electric potential at a point in an electric field is the amount of work done to bring the unit positive charge from infinity to that point, while electric potential energy is the energy that is needed to move a charge against the electric field.
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A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) ____.
A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) n- dimensional array
an array of dimensions gives Information about the material composition for each point in the heterogeneous part is stored in N.
Similar to a one-dimensional array, a two-dimensional array is represented graphically as a grid (or table) with rows and columns.
A big gathering of objects or people is referred to as a "array," especially one that is eye-catching, inspires admiration, or has been arranged in a particular way: The spread of food on the table was magnificent. They were seated in front of numerous microphones and cameras. Related words and phrases are part of the SMART Vocabulary. Things in groups and collections
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what happens to temperature of a substance during phase change
Answer: Nothing
Explanation:
The supplied energy is used for phase transition, not molecule kinetic energy.
Example: ice cannot be heated above 0Cº when it is being melted. Heat is consumed for phase change during its transition from solid to liquid. Only after all ice has melted, the temperature will rise until the next phase transition - vapor.
Stellar nurseries, such as the orion nebula, contain hundreds or more fragmenting and contracting regions, as well as many protostars and stars. What condition would allow a protostar to become a stable star?.
The hydrogen fusion process will begin after the protostar reaches a temperature of 10 million degrees kelvin, and it will then turn into a stable star.
How does a protostar become a stable star?The interstellar medium can sometimes be gathered into a large nebula, which is a cloud of gas and dust. A nebula can span a number of light years. These nebulae are where gas and dust can combine to produce stars. Until a star can combine hydrogen into helium, it cannot be considered a star. They are referred to as protostars before then. As gravity starts to gather the gases into a ball, a protostar is created. Accrution is the term for this procedure.
Gravitational energy starts to heat the gasses as gravity draws them into the ball's core, which causes the gasses to radiate radiation. Radiation initially just dissipates into space. However, much of the radiation is retained inside the protostar as it draws in stuff and becomes denser, which causes the protostar to heat up even more quickly.
The hydrogen fusion process will begin after the protostar reaches a temperature of 10 million degrees kelvin, and it will then turn into a star.
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The helium-neon lasers most commonly used in student physics laboratories have average power outputs of 0. 250 mw. True or false?.
Intensity of laser beam is 72.3W/m²
Given:
average power output = 0. 250 mw
To Find:
intensity of laser beam
Solution:
First of all, we need to find the area of the circular spot, which is given by:
A = πr^2
where r is the radius of the spot, which is half the diameter, therefore
r = d/2 = 2.10mm/2 = 1.05mm = 1.05 x 10^-3m
So, the area of the spot is
A = π(1.05 10^-3m)^2 = 3.46 10^-6m²
We know that the power output of the laser is
P = 0.250mW = 2.5.10^-4W
So the intensity of the laser beam is
I = P/A = 2.5^-10 W/3.46-10^-6m^2 = 72.3W/m²
So, intensity of laser beam is 72.3W/m²
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The half-life of carbon 14 is 5730 years. If a 1-gram sample of old carbon is 1/8 as radioactive as 1-gram of a current sample, then the age of the old sample is about?
Answer:
The age of the sample will decrease by 1/2 for each half-life that the sample undergoes:
1/2 * 1/2 * 1/2 = 1/8
The data indicates that the sample has undergone 3 half-lives of decay
3 * 5730 = 17190 yrs is the approximate age of the sample
What function does the prism or diffraction grating perform in a spectrophotometer?
In a spectrophotometer, a prism or diffraction grating separates light into its constituent wavelengths.
To find the answer, we need to know more about the spectrometer.
What is spectrometer?A spectrometer measures the light refracted by the optical component into its various colors (wavelengths).prism is a dispersive component The dispersion happens because the angle of refraction is influenced by the material's refractive index, which is marginally influenced by the wavelength of light passing through the prism.An optical component called a diffraction grating splits (disperses) polychromatic light into its individual wavelengths (colors). Each wavelength of the polychromatic light that strikes the grating is scattered, reflecting from it at a slightly different angle.Thus, we can conclude that, In a spectrophotometer, a prism or diffraction grating separates light into its constituent wavelengths.
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The critical path is the sequence of activities that determine the latest date by which the project can be evaluated.
a. true
b. false
The statement given about the critical path is true.
To find the answer, we have to know more about the critical path.
What is critical path?The longest series of tasks in a project plan that must be finished on time for it to be finished by the deadline is known as the critical path. The critical route is the set of actions that, when carried out in a timely manner while taking into account all the aforementioned factors, will take the longest to accomplish the project. Because it is the "red alert" of paths, the critical path is referred to as "critical". Your project won't be successfully completed before the deadline if it doesn't follow the critical path's timing and order.Thus, we can conclude that, the statement given about the critical path is true.
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If 30 j of magnetic potential energy is stored in a 6. 0-h inductor, what is the current in the inductor?
Current in the inductor, I = 100A
Given,
Magnetic potential energy stored, U= 30 joule
Inductance, L = 6.0 H
Therefore, current in the inductor, [tex]I^{2}[/tex]= (2×30×10^3) ÷ 6
= 2×5×10^3
= 10×10^3
[tex]I^{2}[/tex] = 10000
I = √10000
I = 100A
Concept:-
As a result of the magnetic forces that magnets exert on one another, magnetic potential energy is the energy that is stored in a system of magnets.Magnetic potential energy stored in an inductor, U = 1/2 (L[tex]I^{2}[/tex])L is the inductance of the inductor.I is the current flowing through the inductor.Learn more about Current here: https://brainly.com/question/17403680
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Question 9 of 10
Which of the following is an example of the strong nuclear force acting in an
atom?
A. A proton repelling a proton
B. A neutron attracting a neutron
C. A neutron repelling an electron
OD. An electron attracting a proton
A atomic neutron particle that is attracting another atomic neutron is an example of the strong nuclear force acting in an atom (Option B).
What are nuclear forces?The expression 'nuclear forces' makes reference to the attraction between different subatomic particles in a given nucleus of a particular atom, which represents the strongest force in the universe.
Subatomic particles include positively charged particles (i.e., protons), neutrally charged particles called neutrons, and electrically negative charged particles called electrons (e-).
In conclusion, a atomic neutron particle that is attracting another atomic neutron is an example of the strong nuclear force acting in an atom (Option B).
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What must be done to the refrigerant that is vented off the top when filling a charging cylinder?
When transporting cylinders contain used refrigerant?
The DOT mandates that DOT Classification Tags, such as those shown above, be attached to cylinders that contain used refrigerant. DOT classification tags show the substance's level of hazard and are arranged according to class. For instance, Class 2, which is gases, would include refrigerant gases.What must be done before shipping any used refrigerant in a cylinder?
Check that the cylinder complies with DOT requirements before sending any old refrigerant cylinders, fill out the shipping paperwork with the quantity of each refrigerant, and clearly mark the cylinder with the kind and amount of refrigerant. Transporting cylinders should be done standing up.Learn more about refrigerant of cylinder
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The algol binary system consists of a b main-sequence star with a mass of 3.7 m? and a k subgiant star with a mass of 0.81 m?. why, at first, did this puzzle astronomers?
The lower-mass star should have developed into a giant star.
What is Algo Binary System?Algol variables, also known as Algol-type binaries, are a subclass of eclipsing binary stars that resemble Persei, the class's prototype star (Beta Persei, Algol). An Algol binary is a system in which both stars are almost spherical, making it possible to precisely predict when the eclipses would begin and conclude. Usually, the primary is a main-sequence star that is located close to its Roche lobe. The secondary star might be either an evolved star occupying its Roche lobe, known as a semidetached binary, or it could be a main sequence star, known as a detached binary.
eclipsing variable stars-
One of the most well-known variable stars in the sky, Algol serves as the model for the Algol variables class of eclipsing variable stars. A B-class main sequence star, an orange subgiant, and a faint A-class star make up the triple star system known as Beta Persei Aa1, Aa2, and Ab.
The lower-mass star should have developed into a giant star first, followed by the higher-mass B main-sequence star.
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A current of 0.4 A flows through a wire. How many electrons flow through a cross section of
the wire in one hour?
(Ans. e = 1.6 x 10-¹9 C
diameter? mm carries a steady current of 0.3142 A. Find the magnitude of
9 × 10²¹ electrons flow through a cross section of the wire in one hour.
What is the relation between current and charge?Mathematically, current = charge / timeIn S.I. unit, Charge is written in Coulomb and time in second. What is the amount of charge flown through a wire for one hour if it carries 0.4 A current?Charge= current × timeCurrent= 0.4 A, time = 1 hour= 3600 sCharge= 0.4× 3600= 1440 C
How many numbers of electrons present in 1440C of charge?One electron= 1.6 × 10^(-19) CSo, 1440 C = 1440/1.6 × 10^(-19)= 9 × 10²¹ electrons
Thus, we can conclude that the 9 × 10²¹ electrons flow through a cross section of the wire in one hour.
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The age of the dead sea scrolls was found by carbon-14 dating. could this technique have worked if they were carved in stone tablets? explain
A Final statement or concluding statement
No because this method of dating requires a material that was once living. So, this technique wouldn’t have worked.
Why carbon - 14 dating is not reliable?Carbon 14 gradually decays into other elements. However, when a plant or animal dies, it no longer has the ability to accumulate new carbon 14, and the supply in the organism at the time of death is gradually depleted.
Scientists can calculate the time elapsed since something died from its residual carbon 14 because the rate of depletion has been accurately determined (half of any given amount of carbon 14 decays in 5,730 years).
However, scientists have long recognized that carbon dating is subject to error due to a variety of factors, including contamination from outside carbon sources. As a result, they sought methods to calibrate and correct the carbon dating method.
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Which of the following electrical devices does NOT contain an electric motor?
A drill
B mixer
C toaster
D sander
The galaxy ngc 4414 is moving away from us at 7.16x10^5 m/s. by how much will the frequency of the 6.91x10^14 hz hydrogen line be shifted in the galaxy's spectrum
shifting of the frequency will take place by 1.674 × 10¹² Hz.
What is Frequency?Frequency is a unit of measurement for how frequently a recurrent event, like a wave, takes place over a specified period of time. A cycle is one repetition of the repeating pattern. Frequency only exists in moving waves that change their places throughout time. Frequency is one way to define how fast a wave moves.
Δλ/λ₀ = v/c
Relativistic doppler effect,
[tex]v' = v_{0} \frac{ \sqrt{ 1 - v/c}}{ \sqrt{ 1 + v/c}}[/tex]
[tex]\frac{v}{c}= \frac{7.16}{3000}[/tex]
[tex]v'= 6.91 * 10^{14} * \frac{\sqrt{1 -\frac{7.16}{3000} } }{\sqrt{1-\frac{7.16}{3000} } }[/tex]
[tex]v'=6.893 * 10^{14}[/tex]
[tex]|v'-v_{0}|= 1.647 * 10^{12}[/tex]
shifting of the frequency will take place by 1.674 × 10¹² Hz.
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Which gear combination would you like to use when you want to pedal with as few strokes as possible and have your wheels turn as many times as possible
Does the principle of optical reversibility hold for reflection as well as refraction? explain
Yes , principle of optical reversibility hold for reflection as well as refraction
Reflection involves a change in direction of waves when they bounce off a barrier. Refraction of waves involves a change in the direction of waves as they pass from one medium to another. Refraction, or the bending of the path of the waves, is accompanied by a change in speed and wavelength of the waves.
The principle of reversibility of light states that light follows the same path if the direction of the travel of light is reversed.
This means that if a light ray travels from medium 1 to medium 2 and has angle of incidence and angle of refraction as i and r respectively, then if the light is incident from medium 2 at an angle r, then the angle of refraction in medium 1 will be i.
The principle of reversibility presumes that the attenuation of a light ray during its passage through an optical medium because of reflection, refraction, and absorption is not affected by a reversal of the direction of the ray.
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