The type of brain waves originating in the central and pariental regions of the brain and is associated with normal sleeping are delta waves. Correct option is B.
This is because delta waves are the slowest brain waves and they have they highest amplitude and these waves are responsible for normal sleep. They are referred to as slow wave sleep and originated in the cerebral cortex's central and parental regions of the brain.
They can occur in the third stage of sleeping. They are deeply penetrated like drum beat and occur during deepest meditation and dreamless dream.
Stage N3 is characterised by a predominance of the slow delta waves, which only happen during the deepest stage of sleep. The slowest brain waves, known as delta waves, range in frequency from 0.5 to 3 Hertz. Your brain is engaged in rest and regeneration when delta brain waves are most prevalent.
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a person who weighs 70 kg bounces on a trampoline that has and attains 350 j of potential energy at their maximum height. how high will the person bounce?
Potential energy: According to the problem the person will reach a maximum height of 4.87 m.
What is Potential energy?Potential energy is the stored energy of an object due to its position relative to other objects. It is the energy an object has due to its position in a gravitational field, or due to its condition or arrangement.
The potential energy that is stored in the trampoline is equal to the work done by the person bouncing on it. Therefore, we can calculate the height that the person will reach by using the formula for work:
Work = Force x Distance
Since the mass of the person is known (70 kg), we can calculate the force applied by the person by rearranging the formula as follows:
Force = Work / Distance
Force = 350 J / Distance
Since the distance is the height of the person when they reach their maximum height, we can calculate it by rearranging the formula again:
Distance = Work / Force
Distance = 350 J / (70 kg x 9.81 m/s2)
Distance = 4.87 m
Therefore, the person will reach a maximum height of 4.87 m.
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where could the needle puncture the balloon with the least amount of effort
The needle puncture the balloon with the least amount of effort where the surface tension is highest i.e. at the middle widest part.
Surface tension is the tendency of a fluid to acquire the minimum surface area possible.
A balloon has a difference in internal and external pressure because of the surface tension. While the increased internal pressure in the balloon exerts a push to expand it, the surface tension in the stretched rubber tends to constrict it.
Hence the tension is highest at the broadest part and the balloon will pop easily if one punctures it around that region.
Therefore, the needle punctures the balloon with the least amount of effort at the broadest part.
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for quantities of power, electrical voltage, frequency (clock speeds), is it more common to see prefixes represent powers-of-2 or powers-of-10?
For quantities like power electric voltage frequency it is more common to see prefixes represent the power of minus 2 and minus 10 because it makes the data more accurate.
When you measure the quantities which are very difficult to measures and at the same time getting high Precision and accuracy we use the concept of using the prefixes to represent the power of -2 and -10.
Usually for frequencies we use the powers of -10 and 4 quantities like power and electric voltage we use the prefixes like the power of -2.
The reason for this is very simple because it makes the data accurate and easy to understand for the person operating on the devices.
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a seconds pendulum in chicago has a length of 0.9933 m . what is the acceleration due to gravity in chicago?
The acceleration due to gravity in Chicago is [tex]9.803 m/s^2[/tex].
Let us assume that the acceleration due to gravity in Chicago is [tex]g[/tex] [tex]m/s^2[/tex].
It is given that,
The length of the second pendulum is [tex]l=0.9933 m[/tex].
It is known that,
The time period of a second pendulum is [tex]T=2s[/tex].
The time period of a simple pendulum, [tex]T=2\pi\sqrt{\frac{l}{g}}[/tex].
[tex]\Rightarrow (2)=2\pi \sqrt{\frac{0.9933}{g}}[/tex]
[tex]\Rightarrow \frac{2}{2\pi}=\sqrt{\frac{0.9933}{g}}[/tex]
[tex]\Rightarrow \frac{0.9933}{g}=(\frac{1}{\pi})^2[/tex]
[tex]\Rightarrow g=0.9933\times(\pi)^2[/tex]
[tex]\Rightarrow g=9.803 m/s^2[/tex]
Hence, the acceleration due to gravity in Chicago is [tex]9.803 m/s^2[/tex].
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What happens to the motion of particles when the frequency is increased
Answer:
Due to the increase in kinetic energy, the particles start vibrating more strongly with greater speed. The energy supplied by heat overcomes the intermolecular forces of attraction between the particles. As a result, the particles leave their mean position and break away from each other.
Explanation:
:)
(a) what is the electric field 4.2 m from the center of the terminal of a van de graaff with a 8.20 mc charge, noting that the field is equivalent to that of a point charge at the center of the terminal?
The electric field 4.2 m from the center of the terminal of a van de Graaff with an 8.20 mc charge, noting that the field is equivalent to that of a point charge at the center of the terminal is 4.18×10⁶ N/C.
An electric field is set up when a specific point charge lies at a particular point in the field. The electric field is obtained by the Coulomb's equation. So as the distance increases, the value of the electric field decreases.
The distance from the center of the terminal of a Van de Graff is r=4.2m. The electric charge is q=(8.20 mC × 10⁻³/1mC) =8.20 ×10⁻³ C. The electric field is E=kq/r², where E is the electric field and k is Coulomb's constant, k=9×10⁹ N.m²/C². So, E=(9×10⁹×8.20×10⁻³)/(4.2)² = 4.18×10⁶ N/C.
So the electric field at a distance of 4.2m is 4.18×10⁶ N/C.
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correct answerrr is a ?
Answer:
2 A
Explanation:
Remember V= IR
Then V/R = I
12 v / 6 ohm = 2 A
when carts of unequal mass push away from each other, which cart has more momentum, the heavy or the light cart? explain your answer in 1-2 sentences
The correct answer is both carts have the same momentum, though the cart that has larger mass will move slower than the cart that has smaller mass.
How momentum and mass are connected?
The initial and final momentums will equal one another in accordance with the law of conservation of momentum. As a result, the momentum of both carts should be equal. Since the beginning value is zero, the momentum of the two carts should be identical. Both carts are moving at the same speed, but the one with more mass will go more slowly than the one with less mass. The result is a balance between the two masses.
Hence , both carts have the same momentum, though the cart that has larger mass will move slower than the cart that has smaller mass.
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Select the correct answer. It is more fun to play when you have good sportsmanship OA B. True False
It is more fun to play when you have good sportsmanship is true.
What is Sportsmanship?Sportsmanship can be thought of as a persistent and largely constant trait or disposition that allows people to differ in how they are typically expected to respond in sporting situations.
Sportsmanship has been linked to interpersonal notions of treating others equally, retaining self-control when interacting with others, and respecting both authority figures and opponents. It mostly refers to virtues like fairness, self-control, courage, and perseverance.
The four components of sportsmanship—good form, the desire to triumph, equity, and fairness—are frequently displayed. For true sportsmanship to be demonstrated, a balance between all four components must be achieved.
Therefore, It is more fun to play when you have good sportsmanship is true.
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what is the magnitude of the buoyant force fb on the balloon?
The buoyant force an object experiences when floating is proportional to its weight. The weight w, liquid of the displaced liquid has the same magnitude as the buoyant force.
The formula for buoyant force is (B) = ρVg, where g = 9.8 (gravity), V = Displaced Volume, and = Density of Fluid (we used air density because the balloons were afloat, not submerged). Thus, buoyant force is directly influenced by the volume of the fluid displaced, the fluid's density, and the acceleration caused by gravity at the location. As is common knowledge, buoyant force equals the weight of the fluid displaced by the body part submerged in it.
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determine the weights of 1 kg, 1 slug, and 1 lbm on mars (the gravitational acceleration on mars is 38% of that on earth).
The weight of 1 kg on Mars would be 0.38 N, 1 slug would be 3.72 N, and 1 lbm would be 0.17 N.
The weight of an object is determined by its mass and the force of gravity acting upon it. On Earth, the acceleration due to gravity is 9.8 m/s^2. However, on Mars, the acceleration due to gravity is 38% of that on Earth, or 3.71 m/s^2.
To calculate the weight of an object, we multiply its mass by the acceleration due to gravity. So, the calculation would be:
For 1 kg on Mars:
1 kg * 3.71 m/s^2 = 3.71 N
For 1 slug on Mars:
1 slug * 3.71 m/s^2 = 14.59 N
For 1 lbm on Mars:
1 lbm * 3.71 m/s^2 = 0.82 N
Therefore, the weight of 1 kg on Mars is 3.71 N, 1 slug is 14.59 N, and 1 lbm is 0.82 N.
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Three equal positive charges are placed on the x-axis, one at the origin, one at x = 2 m, and the third at x = 4 m. Of the following points, which has the greatest magnitude electric field?a. x = 1 mb. x = 3 mc. x = 5 md. The electric field has the same magnitude at all three positions.
The electric field has the same magnitude at all three positions. On the x-axis, there are three equal positive charges: one at the origin, one at x=2m, and a third at x=4m.
On the x-axis, there are three equally sized positive charges: the first is at the origin, the second is at x = 2, and the third is at x = 4 m. a. x = 1 mb. x = 3 mc. x = 5 md. The vertices of an equilateral triangle have three positive charges of equal value, q. It is necessary to draw the resulting lines of force as in. Unlike charges attract one another while like charges repel one another. Both two positive and two negative charges repel one another as a result.
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the electric field at a point in space is e⃗ e→e_vec =(=( 400 i^ i^ 200 j^)n/cj^)n/c.
The x component of an electric force is 6.41 × [tex]10^{-17}[/tex] N and the y component of an electric force is 3.20 x [tex]10^{-17}[/tex]N.
E=(400 )i+(200 )j is the electric field vector
q=1.602 × [tex]10^{-19}[/tex]C is the charge of a proton
The electric force is calculated using:
F = qE
and we substitute:
F =(1.602 × [tex]10^{-19}[/tex]C)× ((400)i+(200)j)
we distribute the charge to both components of the vector to obtain:
F= (6.41 × [tex]10^{-17}[/tex] N)i+ (3.20 x [tex]10^{-17}[/tex]N)j
(a) Vector parts are represented by unit vectors. The unit vector I in the "hat" convention stands in for a vector's x-component. In this instance, the x-component of our electric force vector is as follows:
F=6.41 x [tex]10^{-17}[/tex]N
(b) Similar to our earlier response, the unit vector typically denotes a vector's y-component. Therefore, the y-component of our electric force vector is:
F=3.20× [tex]10^{-17}[/tex]N
We observe that our vector components' directions, which are their magnitudes, are represented by the unit vectors (or the numbers aside from the hat unit vectors).
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a roller coaster car of mass 250kg is atop a hill that has a height of 30m. the cart, starting from rest, proceeds down the hill and then up an adjacent hill that has a height of 10m. at the top of the second hill, the cart has a velocity of 17m/s. determine the work done by friction.
The work done by friction can be calculated using the equation W = F * d, where F is the force of friction and d is the distance traveled. In this case, the distance traveled is 30m (the height of the first hill) + 10m (the height of the second hill).
The force of friction can be calculated using the formula F = µmg, where µ is the coefficient of friction and m is the mass of the roller coaster car (250kg).
Assuming the coefficient of friction is 0.2, the force of friction would be 50N. Therefore, the work done by friction would be W = 50N * 40m = 2000J.
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which of the following statements is true? question 1 options: a) uv light has higher energy than x-ray radiation. b) the higher the frequency of a wave, the lower its energy. c) uv light has higher energy and higher frequency than visible light. d) uv light has longer wavelength and higher energy than visible light.
Answer:
c) UV light has higher energy and higher frequency than visible light.
Explanation:
The statement "c) UV light has higher energy and higher frequency than visible light" is true because UV light is a type of electromagnetic radiation with a higher frequency than visible light. The frequency of a wave is a measure of how many oscillations or cycles it completes in one second and is typically measured in hertz (Hz). The higher the frequency, the more energy it contains. UV light has a higher frequency than visible light, which means it has more energy. Additionally, ultraviolet radiation is also considered to have higher energy than visible light as well.
the diameter of the he nucleus is about 2.0 fm f m . assuming the nucleus to be a sphere, calculate its density in g/cm3 g / c m 3 . express your answer in grams per cubic centimeter.
The density of the helium nucleus which has a diameter of 2 fm is 1.59 x 10¹² g/cm³
The diameter of the helium nucleus = 2.0 x 10⁻¹⁵ m
= 2 x 10⁻¹² cm
The radius of the helium = 1 x 10⁻¹² cm
The volume of the helium nucleus can be found using the formula,
V = 4/3πr³
= 4/3 x 3.14 x (1 x 10⁻¹²)³
= 4.17 x 10⁻³⁶ cm³
The density of the helium nucleus can be found using the formula,
d = m/v
where d is the density of the helium nucleus
m is the mass of the nucleus
v is the volume of the nucleus
Let us substitute the known values in the above equation, we get
d = 6.64 × 10⁻²⁴ / 4.17 x 10⁻³⁶
= 1.59 x 10¹² g/cm³
Thus, the density of the helium nucleus is 1.59 x 10¹² g/cm³
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A toy rocket has a mass 0f 350g at launch. The force it produces is 15N and it is fired at an angle of 65° to the horizontal. What is the initial acceleration of rocket as a vector?
Answer:
250 g
Explanation:
it has the weight of the angle
Answer:
break the launch vector into two components, vertical and horizontal
Force Net Vertical=-9.8*.350+15cos65 N
force net horizonal=15sin65
initial acceleration= force/mass= (-9.8+15/.350*cos65)j+(15/.350*sin65)i
using i,j vectors..
The kinetic energy of the dark Throne would be w=2.38, the speed of the dart would be 12 m/s. If the dart were thrown straight upwards, what maximum height would it reach?
Answer:
2.38×12 = 28.56
w×v = height
the imaginary plane in which all objects project to corresponding points in the left and right retina is called
The imaginary plane in which all objects project corresponding points in the left and right retina is called the Horopter.
The horopter is a concept in visual perception that refers to the plane that contains all points that produce the same retinal disparity (the difference in the position of an object as seen by the two eyes).
The horopter is used to explain why some objects appear to be in front of or behind the plane of the screen in stereo vision.
The horopter is the plane in which objects are seen as having the same depth by both eyes, which is why objects on or near the horopter appear to be in the same plane as the screen.
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what is the channel capacity for a teleprinter channel with a 300 hz bandwidth and snr of 6 db?
A teleprinter channel with a 300 Hz bandwidth and an SNR of 6 dB has a channel capacity of 964.6 bps.
The channel capacity of a teleprinter channel is defined as the maximum amount of information that can be transmitted through the channel per unit time, in bits per second (bps). The channel capacity is determined by the channel's bandwidth and signal-to-noise ratio (SNR). The channel capacity of a teleprinter channel with a bandwidth of 300 Hz and an SNR of 6 dB can be calculated using the formula C = B log2(1 + S/N), where B is the bandwidth and S/N is the signal-to-noise ratio.
In this case, C = 300 log2(1 + 10^(6/10)) = 964.6 bps. This means that a teleprinter channel with a 300 Hz bandwidth and an SNR of 6 dB has a channel capacity of 964.6 bps. This channel capacity is sufficient for most teleprinter applications, as teleprinters typically have low data rates compared to other communication systems.
It is important to note that the channel capacity is a theoretical limit and assumes that the channel is used optimally. In practice, there may be factors such as errors and interference that reduce the actual data rate that can be achieved. Additionally, the channel capacity is dependent on the specific modulation and coding scheme used, and different schemes can result in different capacities for the same channel.
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A bicyclist accelerates at 1 m/s2 during a 4.0 s interval. What is the change in the speed of the bicyclist and the bicycle?
The change in the speed of the bicyclist and the bicycle is 4 meters per second.
What is Speed?Speed is the distance covered by an object in a particular time period. Speed is different from velocity, as it is a scalar quantity due to no direction. Whereas, velocity is a vector quantity due to both direction and magnitude.
Acceleration = Rate of change in velocity
Acceleration = Change in velocity/ Time taken
a = (v-u)/t
a = 1m/s²
t = 4 seconds
(v-u) = ΔV = ?
a = ΔV/ t
1 = ΔV/ 4
ΔV = 1×4
ΔV = 4 meters per second.
The change in the speed is 4 meter per second.
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why do astronomers use the word dark when referring to dark energy and dark matter?
The astronomers use the work dark in dark matter as it does not appear to interact with the electromagnetic field, which means it does not absorb, reflect, or emit electromagnetic radiation and is, therefore, difficult to detect.
Unseen matter is referred to as dark matter. Because of the impact it has on items that we can directly view, we are aware that dark matter exists.
Dark matter slows down the expansion of the universe, while dark energy speeds it up. Dark matter works like an attractive force, a kind of cosmic cement that holds our universe together.
So, the term dark is used in both dark energy and dark matter.
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In order to convert temperature from Celsius to Fahrenheit, one can use the following equation F=1.8C+32, where C is the temperature in Celsius and F is the temperature in Fahrenheit. What is the temperature in Fahrenheit when C is 15 degrees?
The temperature is 57 degrees Fahrenheit while C is 15 degrees.
What does 32 F mean on the Fahrenheit scale?Water has a freezing point of 32° and a boiling point of 212° on the Fahrenheit temperature scale. The difference between the two is divided into 180 equal parts.
Is 37.0 degrees Celsius a fever?Your body temperature is usually around 37 °C. When your body temperature is 37.8°C or greater, you typically have a fever. You might feel hot, cold, or shaky. By taking your temperature using a thermometer, you can determine whether you have a fever.
How do you convert between Fahrenheit and Celsius?The conversion of a degree in Fahrenheit to a degree in Celsius is represented by the Fahrenheit to Celsius formula. Fahrenheit to Celsius conversion formula: °C = [(°F-32)×5]/9
Given:
C = 15 degree
We know that,
F = 1.8C+32
F = 1.8*15+ 32
F = 27 +32
F = 57 degrees Fahrenheit
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what energy is produced by a 200 w lightbulb lit for 2.5 hours? answer in units of j.
The energy produced by a 200 W light bulb after 2.5 hours of use is 1,800,000 J.
Energy (J) = Power (W) x Time is the formula for computing energy from power and time (s). Power is the rate of energy production or consumption, commonly expressed in watts (W), and time is the length of time.
The following formula can be used to determine how much energy a 200 W light bulb produces over the course of 2.5 hours:
Energy (J) equals Power (W) times Time (s)
We must first translate 2.5 hours into seconds:
2.5 hours equals 9,000 seconds (2.5 × 60 x 60).
We can now determine how much energy the lightbulb produces:
= 200 W x 9,000 seconds.
= 1,800,000 J
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if a juggler throws a ball straight up at a speed of 25 m/s, how long will it take to come back down?
If a juggler throws a ball straight up at a speed of 25 m/s, it will take 5.10 second to come back down.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Initial upward speed of the ball: v = 25 m/s.
Acceleration due to gravity: g = 9.8 m/s²
Hence, time taken by the ball = 2v/g
= ( 2 × 25)/9.8 second
= 5.10 second.
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a satellite is orbiting the earth a distance re above its surface. what is the acceleration due to gravity in this orbit? (re is the radius of the earth)
The acceleration due to gravity in this orbit is 9.81 m/s2.
What is gravity?Gravity is a natural force of attraction that exists between any two objects with mass. It is the force that keeps us grounded to the Earth and causes objects to fall to the ground when released. Gravity is strongest at the surface of the Earth, and its effects diminish with distance. In the universe, gravity is responsible for maintaining the orbits of planets and stars, and for the formation of galaxies.
The acceleration due to gravity (g) at a distance r from the centre of the Earth is given by:
g = GM/r2
Where G is the gravitational constant and M is the mass of the Earth.
Therefore, the acceleration due to gravity at a distance re above the Earth's surface is given by:
g = GM/re2
= (6.67 x 10-11 Nm2/kg2) x (5.98 x 1024 kg) / (6.37 x 106 m)2
= 9.81 m/s2.
Therefore, the acceleration due to gravity in this orbit is 9.81 m/s2.
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a hurricane wind blows across a 5.90 mm ×× 13.2 mm flat roof at a speed of 110 km/hrkm/hr .
The pressure difference is 562.1 Pa.
The pressure difference can be calculated using the equation:
[tex]ΔP = 1/2 * ρ * v^2[/tex], where [tex]ρ[/tex] is the air density and [tex]v[/tex] is the wind speed.
Air density at sea level = 1.225 kg/m^3.
To convert the wind speed from km/hr to m/s, divide by 3.6.
The pressure difference can then be calculated as follows:
[tex]ΔP = 1/2 * 1.225 kg/m^3 * (110 km/hr / 3.6)^2[/tex]
[tex]ΔP = 1/2 * 1.225 kg/m^3 * (30.56 m/s)^2[/tex]
[tex]ΔP = 1/2 * 1.225 kg/m^3 * 935.24 m^2/s^2[/tex]
[tex]ΔP = 562.1 Pa[/tex]
So, the pressure difference is approximately 562.1 Pa.
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The given question is incorrect. The correct question is given as:
A hurricane wind blows across a 5.90 mm ×× 13.2 mm flat roof at a speed of 110 km/hr. What is the pressure difference?
An atom travelling away from a light detector at 0.8c emits a photon of light of wavelength 600 nm. The wavelength received by the detector is
So the wavelength received by the detector is 375 nm.
How to calculate the wavelength?In this case, the atom is travelling at 0.8 times the speed of light away from the light detector (c). This means that the observed wavelength of light emitted by the atom will be longer than the wavelength of light emitted by the atom.
Where _observed is the observed wavelength, _emitted is the wavelength emitted by the object, c is the speed of light, v object is the velocity of the object relative to the observer, and v observer is the velocity of the observer relative to the object.
The effective wavelength is = [v -/+ vs]/f / = v/f -/+ vs/f
When the source travels toward the observer, use the first sign (-), and when it goes away, use the second sign (+).
The frequency discovered
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When the 1s orbitals of two hydrogen atoms combine to form a hydrogen molecule, how many molecular orbitals are formed?
A 1
B 2
C 3
D 4
E 5
When the 1s orbitals of two hydrogen atoms combine to form a hydrogen molecule, The two molecular orbitals that form are known as s (sigma) and s* (sigma star) in Molecular Orbital Theory. The correct option is B.
Molecular orbitals are linear combinations of atomic orbitals that represent the electron distribution across two or more atoms.
The covalent bond refers to the mutual sharing of electrons between the two atoms in the molecule. The atomic orbitals overlap to form the molecular orbitals. The number of atomic orbitals and molecular orbitals formed will be the same. Hydrogen molecules are an example of molecular orbitals.
You can only make two molecular orbitals from two 1s atomic orbitals. This is known as the First Principle. The two molecular orbitals that form are known as s (sigma = bonding) and s* (sigma star = anti-bonding) in Molecular Orbital Theory.
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uranus was not considered a planet by ancient greeks because it is too faint to be seen without the aid of a telescope. group of answer choices true false
True. Uranus is too faint to be seen without the aid of a telescope, and was not considered a planet by the ancient Greeks.
What is telescope?A telescope is an instrument used to observe distant objects by collecting and magnifying the visible light they emit. Telescopes are used to observe a wide variety of celestial objects, including stars, galaxies, planets, and comets. Telescopes come in a variety of shapes and sizes, ranging from small handheld models to huge observatories. Telescopes are also used in astronomy and other scientific fields to study the universe, as well as in military and law enforcement applications to survey and observe terrestrial objects. Telescopes are typically built with one or more curved mirrors or lenses which collect and focus the incoming light, allowing for a magnified image to be viewed. Many modern telescopes are equipped with sophisticated technology, such as digital cameras, computer-controlled tracking systems, and spectrographs to allow for detailed analysis and observation of distant objects.
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