A light ray in glass (n=1.5) hits the air-glass interface at an anlge of 10 degrees from the normal. what angle from the normal is teh light ray in teh air (n=1.0)?

Answers

Answer 1

By using Snell's Law, the refraction angle is 15.10⁰.

We need to know about Snell's Law to solve this problem. Snell's Law describes that the refraction of different mediums will depend on the refraction index. It can be written as

n1 . sin(θ1) = n2 . sin(θ2)

where n1 is the first refraction index, θ1 is the incident angle, n2 is the second refraction index and θ2 is the refraction angle.

From the question above, we know that

n1 = 1.5

n2 = 1

θ1 = 10⁰

By substituting the given parameters, we get

n1 . sin(θ1) = n2 . sin(θ2)

1.5 . sin(10⁰) = 1 . sin(θ2)

sin(θ2) = 1.5 . 0.17 = 0.26

θ2 = 15.10⁰

Hence, the refraction angle is 15.10⁰.

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Related Questions

A sheet of aluminium foil is held in front of a radioactive source. TWO types of radiation are detected on the other side. State which type of radiation will NOT be detected. * giving out BRAINLIEST

Answers

Alpha particles, though beta particles can also be blocked by aluminium.

If a sheet of aluminum foil is held in front of a radioactive source. Two types of radiation are detected on the other side. The alpha particle radiation will not be detected.

What is radioactivity?

The ability of some unstable atoms to emit nuclear radiation spontaneously, typically in the form of alpha or beta particles frequently accompanied by gamma rays, is known as radioactivity.

As given in the problem statement, if a sheet of aluminum foil is held in front of a radioactive source. Two types of radiation are detected on the other side, then we have to find which type of radiation will not be detected on the other side.

When a radioactive source is in front of a sheet of aluminum foil. On the opposite side, radiation of two different sorts is seen. There won't be any indication of alpha particle radiation.

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16 When pollen grains in water are viewed through a microscope, they are seen to be in continuous,
rapid random motion.
What causes a pollen grain to move in this way?
A convection currents in the water
B bombardment by a single molecule of water
C
uneven
bombardment on different sides by water molecules
D collision with another pollen grain due to their kinetic energies

Answers

Uneven bombardment on different sides by water molecules.

Water is made up of little, swiftly moving particles. The pollen grains move on the surface of water because they are continually being struck by the swiftly moving water particles (the water particles or water molecules themselves are invisible under the microscope due to their extreme small size). Therefore, even though the water molecules (particles) are too small to discern, their impact on the pollen grains can be readily seen. Brownian motion is exemplified by the haphazard movement of visible particles (pollen grains) brought about by much smaller unseen water particles.The pollen grains will move with some justification if Brownian motion is used to explain the observation in the question.Brownian motion is the irregular (constant but random) movement of small particles suspended in a fluid, according to its definition. A disturbance in the medium holding the suspended particles is what is responsible for the motion. In other words, it is brought on by some fluid disruptions, which may have been brought on by some bombardments.

Therefore, option C is correct.

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Which quantities is the same before and after a nuclear change

Answers

During the nuclear change, the amount of protons remains the same and is unchanged.

The interaction between two nuclear particles (two nuclei or a nucleus and a nucleon) that results in the production of two or more nuclear particles or -rays is known as a nuclear reaction (gamma rays). The process is sometimes referred to as a nuclear scattering rather than a nuclear reaction if a nucleus interacts with another nucleus or particle without altering the nature of any nuclide.

Nuclear Reactions and Conservation Laws:

Nucleon conservation: Before and after a reaction, there is the same number of nucleons overall.Charging efficiency: Before and after a reaction, the total charges on all the particles are the same.Continuity of motion: Before and after a reaction, the overall momentum of the interacting particles remains constant.Energy conservation: Nuclear reactions result in the conservation of energy, including rest mass energy.

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What is the symbol of the ion having 12 protons and 10 electrons?
mg2
al3
mg
mg2-
na2

Answers

The symbol of the ion having 12 protons and 10 electrons would be Mg²⁺ , therefore the correct answer is option A.

What is the atomic number?

An atom's atomic number is determined by the total number of protons it contains. Both the number of neutrons and the number of electrons contained inside an atom have no connection to the atomic number.

We must determine the symbol for the ion with 12 protons and 10 electrons according to the problem.

As is well knowledge, the magnesium atom, symbolized by Mg2+, contains 12 electrons and 10 protons.

Thus, the correct answer is option a.

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A uranium-235 nucleus decays by a series of alpha and beta emissions until it reaches lead-207. how many alpha emissions and how many beta emissions occur in this series of decays?

Answers

The alpha emissions and beta emissions occur 7 times in this series of decays.

The sum of the mass number and atomic number on both sides of a nuclear equation must be the same. This topic involves two forms of radioactive decay: alpha decay and beta decay. From the initial element with an atomic number of less than two, alpha-decay creates an element with a mass number of fewer than four. There are no changes in the mass number of the element during beta-decay. However, the atomic number rises by one.

235U92→231Th90+4He2

231Th90→227Ra88+4He2

227Ra88→223Rn86+4He2

223Rn86→219Po84+4He2

219Po84→215Pb82+4He2

215Pb82→211Hg80+4He2

211Hg80→207Pt78+4He2

207Pt78→207Au79+0e−1

207Au79→207Hg80+0e−1

207Hg80→207Tl81+0e−1

207Tl81→207Pb82+0e−1

Hence, these seven successive alpha and beta emissions would occur in uranium-235 decay series until it reaches Pb-207.

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If a cell has a diameter of 2.0mm, what percentage of its surface area would be covered by glucose transporters (glutr)?

Answers

The percentage of its surface area would be covered by glucose transporters is 100%.

As the cell is nearly spherical, the surface area of a cell with a diameter of 2.0 mm is equal to

A= 4πr^2 = 4 pi 1 x (10^-3)^2= 12.5 x 10^-6 m^2.

The area occupied by glucose transporters is approximately 12 nm^2 or 1.2 x 10^-6 m^2.

So, the %age of area covered by glucose transporters = Surface area of the cell/ Area occupied by glucose transporters= 12.5 x 10^-6 m^2/1.2 x 10^-6 m^2 x 100 = 100%.

Thus, the percentage of its surface area that would be covered by glucose transporters is 100%.

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A vehicle accelerates to 22.60 m/s after being stopped at a red light. The vehicle travels 29.46 m while accelerating from the intersection. How fast was its acceleration?

Answers

The vehicle took 2.6 seconds to accelerate.

What is Acceleration ?

Acceleration is the rate at of change of velocity. It is a vector quantity. That is, it has both magnitude and direction.

Given that a vehicle accelerates to 22.60 m/s after being stopped at a red light. The vehicle travels 29.46 m while accelerating from the intersection. How fast was its acceleration?

The parameters to be considered are:

Initial velocity u = 0Final velocity v = 22.6 m/sDistance s = 29.46 mTime t = ?

Let us first calculate the acceleration by using the formula

v² = u² + 2as

22.6² = 0 + 2 × a × 29.46

510.76 = 58.92a

a = 510.76 / 58.92

a = 8.67 m/s²

Now, we can know how fast was its acceleration by using the formula

v = u + at

22.6 = 0 + 8.67 × t

22.6 = 8.67t

t = 22.6 / 8.67

t = 2.61 s

Therefore, the vehicle took 2.6 seconds to accelerate.

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Choose the option that correctly answers and explains the question, if the sum of the forces acting on an object equals zero, does this imply the object is at rest?.

Answers

If the sum of forces acting on an object is equal to zero, this does not imply that the object is at rest because it only implies that the moving object is not accelerating.

A force is an agent which when applied to an object, causes a change in state or direction of that object. The sum of forces acting on an object includes the resolution of all the forces acting on that object. The sum of forces acting on an object becomes zero when the resolution of all the forces acting on the object gives zero. An object in this state is said to be at equilibrium.

For example, the force of gravity may be acting on a ball resting on a surface, but the ball doesn't move because the gravitational force acting on the ball is balanced out by the reaction force from the table, hence the ball does not move, it is in a state of equilibrium.

The sum of forces acting on a moving object could also be equal to zero. When force is applied to a moving object, it accelerates (increases in speed), but when the sum of forces equals zero, the object still continues to move at uniform speed. This is in line with Newton's first law of motion, which states that "an object will remain in a state of rest or will continue to move with uniform speed, unless it is acted upon by a force.

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Complete question:

Choose the option that correctly answers and explains the question, "If the sum of the forces acting on an object equals zero, does this imply the object is at rest?" No, because the sum of the forces equalling zero only implies that the object is not accelerating. No, because even if the sum of the forces equals zero, it may have a nonzero component in one direction. Yes, according to Newton's second law, experiencing zero net force is the definition of being at rest. Yes, because Newton's first law implies that objects in motion must be acted on by a nonzero net force.

A cyclist is traveling at 7m s¹, then accelerates at 2.5m s2 for 15 seconds.
a.
How far did they travel during this time
What was the final speed after 15 seconds?
b.

Answers

Answer:

a)

[tex]{ \tt{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \tt{s = (7 \times 15) + \frac{1}{2} \times 2.5 \times {15}^{2} }} \\ \\ { \tt{s = 105 + 281.25}} \\ { \tt{s = 386.25 \: m}}[/tex]

b)

[tex]{ \tt{v {}^{2} = {u}^{2} + 2as}} \\{ \tt{ {v}^{2} = {7}^{2} + (2 \times 2.5 \times 386.25)}} \\ { \tt{ {v}^{2} = 1980.25}} \\ { \tt{v = 44.5 \: m}}[/tex]

What happens to the pressure of an ideal gas if its volume is halved and its kelvin temperature is doubled, assuming the moles of gas does not change?

Answers

If its volume is halved and its kelvin temperature is doubled, assuming the moles of gas does not change, the pressure becomes 4 times.

What is the ideal gas law?

The equation of state for a fictitious perfect gas is known as the ideal gas law, sometimes known as the generic gas equation.

Although it has some number of restrictions, it is a good approximation for the behavior of numerous gases under various circumstances.

The law of an ideal gas (PV = nRT)

Who created the ideal gas equation?

This equation was developed via the experimental labor of several people, particularly Robert Boyle, Jacques A. C. Charles, and Joseph Gay-Lussac, relates the pressure, volume, temperature, and quantity of an ideal gas.

According to ideal gas equation

PV=nRT

Here the Temperature becomes 2T and

and the volume becomes V/2

We get pressure becomes 4 times.

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what is the answer of this

a car is travelling at a speed 38.0×10⁸m/s on an interstate highway where the speed limit is 75.0 mi/h. is the driver exceeding the speed limit​

Answers

Answer:

He exceeded the speed limit

Explanation:

[tex]{ \tt{ \frac{38 \times {10}^{8} \: m }{1 \: s} }} = { \tt{ \frac{ \frac{1}{1609} \: mi}{ \frac{1}{3600} \: hr} }} \\ \\ { \tt{ = ( \frac{1}{1609} \times 38 \times {10}^{8} ) \times (3600)}} \\ \\ = 8.5 \times {10}^{9 } \: mih {}^{ - 1} [/tex]

different parallel, straight paths. Each car's velocity as a function of time is shown in the graph. Which of the following claims is correct
about car X and car Y?

Both car X and car Y travel in the same direction.

Between t 6s and t7s, car X and car Y are at the same horizontal position.

The change in car X's speed per unit of time increases as the time increases, and the change in car Y's speed per unit of time decreases as the time increases.

The magnitude of the acceleration of car X is the same as the magnitude of the acceleration of car Y.​

Answers

Answer:different parallel, straight paths. Each car's velocity as a function of time is shown in the graph. Which of the following claims is correct

about car X and car Y?

Both car X and car Y travel in the same direction.

Explanation:

How do the number of stars in the milky way compare to the number of galaxies in the universe?.

Answers

Multiplying the number of stars in a milky way by the number of galaxies in the universe is how the number of stars in a milky way is compared to the number of galaxies in the universe.

Using the Milky Way model, the number of stars is multiplied in a typical galaxy which is 100 billion by the number of galaxies existing in the universe which is 2 trillion in number. The answer calculated will be absolutely an astounding number. Therefore, there are approximately 200 billion trillion stars existing in the universe.

A hundred billion galaxies exist in the Universe. A galaxy is usually full of stars. Our sun is also a star that just exists as one of at least a hundred billion stars to be present in our own Milky Way galaxy.

To estimate the number of stars in a typical galaxy and it is then multiplied by the number of galaxies estimated in the universe. In general, some galaxies shine visible better or some in an infrared condition which can be taken as an example. There also are estimation hurdles that must be overcome.

Multiplying the number of stars in a milky way by that of galaxies in the universe is how the number of stars in a milky way was compared to the number of galaxies in the universe.

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How many cubic meters of water are in a cylindrical cumulus cloud of height 2.9 km and radius 1.0 km?

Answers

Answer:

50 to 500 Water drops

Explanation:

One cubic centimeter of a typical cumulus cloud contains 50 to 500 water drops.

If you wanted to know how long
it would take you to get to the store and back, which would be more
useful, average speed or average velocity? Explain why.

Answers

The average velocity will be more useful if you wanted to know how long it would take you to get to a store and come back.

What are Average Speed and Average velocity?

The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.

Average Speed=[tex]\frac{total distance}{total time}[/tex]

Average velocity is a vector quantity. The change in position or displacement divided by the time periods during which the displacement happens is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s), the SI unit of average velocity, is used.

Average Velocity=[tex]\frac{Total displacement}{Total time}[/tex]

So, in average speed no particular direction is given there can be multiple ways to go to the store and come back so average speed can be different every time.

But in case of average velocity there must be particular shortest route that is known as displacement and that would give an accurate time to go to the store and come back

Hence, average velocity is more useful as compared to average speed.

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When a diode is reverse-biased and the bias voltage is increased, what will happen to the reverse current?

Answers

When a diode is reverse-biased and the bias voltage is increased, what will happen to the reverse current will not change.

What is a diode?

A diode is a semiconductor device that essentially switches current in a single direction.

While restricting current flow in the other direction considerably, it makes it easy for current to flow in one way.

Because they transform alternating current (ac) into pulsing direct current, diodes are also known as rectifiers (dc).

The type, voltage, and current capability of diodes are all rated.

Anode (positive lead) and cathode, define the polarity of diodes (negative lead).

The majority of diodes only let current flow when anode voltage is provided in the positive direction.

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What is the independent variable in the following hypothesis: “If carbon dioxide is added to the atmosphere, then the temperature of the Earth will rise.”

A
Presence of carbon dioxide
B
The atmosphere
C
The Earth
D
Temperature of the Earth

Answers

The independent variable in the given scenario is the presence of carbon dioxide. The correct option is A.

What is independent variable?

The term "independent variable" means precisely what it seems like. It is a parameter that is independent of all the other variables individuals are attempting to measure.

In mathematical modeling, data techniques, and exploratory sciences, dependent and independent variables are variables. According to the hypothesis, this variable has a direct effect on the dependent variable.

In the given scenario, the temperature of atmosphere is getting changed by the presence of carbon dioxide, so it can be better to say that here, carbon dioxide is independent variable and temperature is dependent one.

Thus, the correct option is A.

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A 2,000-kg car is sitting at rest in a parking lot. a bike and rider with a total mass of 60 kg are traveling along a road at 10 km/h. which system has more inertia? why?

Answers

Car has more inertia, as its mass is greater than the mass of the bike.

Since inertia is related to mass, an object with a larger mass will almost always have orders of magnitude more inertia than an object with a smaller mass. In this case, the motorcycle.

The ability of matter to resist changes in velocity (speed and/or direction) is known as inertia. The first law of motion states that unless an outside force acts on an item, it will continue to move at a certain speed. The characteristic of matter that causes this law to hold true is inertia.

Upon being battered, the mat releases dust. falling forward when abrupt breaks are applied in transit. When the tree is shaken violently, the leaves fall off. Artificial satellites continue to orbit in a circular motion due to inertia.

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Many excitatory neurotransmitters cause the opening of channels that allow for the flow of ______.

Answers

Many excitatory neurotransmitters cause the opening of channels that allow for the flow of both Na+ and K+.

To influence another cell across a synaptic gap, a neuron produces a chemical signaling agent known as a neurotransmitter. Any significant organ, target cell, gland, or muscle cell that receives the signal could be another neuron as well. The message continues to be transmitted to the following cell as a result of the excitatory neurotransmitters "exciting" the neuron and causing it to "fire off the message.

Excitatory neurotransmitters include glutamate, adrenaline, and norepinephrine, to name a few. Acetylcholine, norepinephrine, and epinephrine are the neurotransmitters most known for their rapid but fleeting excitatory impact, while GABA is the main inhibitory neurotransmitter.

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the angle of incidence for a ray of light from air to water interface is 40 degree. if the ray travels through the water with a refractive index of 1.33, calculate the angle of refraction.

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

According to snells law :

[tex]\qquad \sf  \dashrightarrow \: n_1 ×sin \: i = n_2 \times sin \:r [/tex]

i = angle of incidence r = angle of refraction

[ n corresponds to the refracting index of a medium ]

now, as we know :

retractive index of air is approximately 1

angle of incidence is given to be 40°

refrctive endex of water is given 1.33

Now, let's proceed according to the formula ~

[tex]\qquad \sf  \dashrightarrow \: 1 \times \sin(40 \degree) = 1.33 \times \sin(r) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) = \cfrac{1 \times sin \: r}{1.33} [/tex]

[ sin 40° = 0.6428 ]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) = \cfrac{0.6428}{1.33} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) \approx \cfrac{1}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r \approx 30 \degree[/tex]

Hence, the angle of refraction is equal to 30°

If the general solution of a differential equation is y(t), what is the solution that satisfies the initial condition y(0)?

Answers

The solution that satisfies the initial condition y(0) is y(t) = -6e^(-2t)+15 .

The general solution is actually a set of solutions, namely the set of ALL solutions of the Differential Equation. Often the general solution will be a linear combination of several functions involving some arbitrary constants.

Now,

The solution is:

y(t)=Ce^(-2t)+15

putting the initial condition, i.e., y(0) = 9.    ( it actually means y(t=0) = 9  )

y(0) = Ce^(0) + 15

9 = C + 15     (since e^0 = 1)

9-15 = C

or,  C = -6

Substituting this in the general solution:

y(t) = -6e^(-2t)+15

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An example of kinetic energy is ________. group of answer choices a coiled spring food rocket ready to be launched pouring rain a parked car

Answers

An example of kinetic energy is pouring rain.The correct response to this question is (c) pouring rain.

Kinetic energy is the capacity for a moving thing to perform work. An object must be moving in order for it to have kinetic energy. Kinetic energy is measured in joules (J), much like all other types of energy.

There must be some kind of motion that an object goes through for it to have kinetic energy. By taking them as a whole and ignoring any potential "kinetic energy" that their molecules may have, all the other alternatives in this situation are just of stationary objects.

Therefore, an example of kinetic energy is pouring rain.The correct response to this question is (c) pouring rain.

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A circular rod with a gage length of 3.6 m and a diameter of 2.6 cm is subjected to an axial load of 61 kn . if the modulus of elasticity is 200 gpa , what is the change in length?

Answers

By using Hooke's Law, the change in length is 2.07 x 10¯³ m.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

The elasticity can be measured by stress and strain which

e = σ/ε

e = (F/A) / (ΔL/L)

where σ is stress, ε is strain, A is surface area, ΔL is change in length and L is initial length.

From the question above, we know that

e = 200 GPa = 200 x 10⁹ Pa

F = 61 kN = 61000 N

d = 2.6 cm = 0.026 m

L = 3.6 m

Find the surface area

A = πr²

A = π(1/2 . 0.026)²

A = 5.31 x 10¯⁴ m²

By substituting the given parameters, we get

e = (F/A) / (ΔL/L)

200 x 10⁹ = (61000/5.31 x 10¯⁴) / (ΔL/3.6)

ΔL = 2.07 x 10¯³ m

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In a car, you drive from your home 4 km to the gas station, 8 km to the shopping mall to let your mother off, and 8.9 km back home. The
trip takes 20 min.
What is your velocity?
O 0 m/s
O +3 m/s
O +4 m/s
O +17 m/s

Answers

Answer: +17 m/s ==> option 4

Explanation:

4 km + 8 km + 8.9 km=

12+8.9=20.9 km

1 km=1000 m

20.9 km * 1000 m/1 km=

20.9 * 1000/1=

20.9 * 1000=20900 m

1 min = 60 sec

20 min * 60 sec/1 min=

20*60/1=

20*60=1200 minutes

20900/1200=

209/12=17.4

17.4=+17 m/s ==> option 4

What is the conc of the fully deprotonated glycylglysine in a 100 mm solution at ph 9.0?

Answers

The concentration of the fully deprotonated glycylglycine 100 mm solution at ph 9.0 is 8.8mM.

What is deprotonation?

In an acid-base process, deprotonation (or dehydronation) refers to the removal (transfer) of a proton (or hydron, or hydrogen cation), (H+), from a Brnsted-Lowry acid.

The formula that can be used in this context:

pH = pKa2 + log base/acid

9.0 = 8.13 + log deprotonated/ protonated

0.87 = log [deprotonated] / [protonated]

[deprotonated] / [protonated] = 10^0.87 = 7.4 → 1

Here we have been provided that,

Ct = the provided total concentration of glycylglycine = 100mM

so, Ct = [deprotonated] + [protonated]

100mM - [deprotonated] = [protonated]

Thus, setting up the values in equation 1, we have

[deprotonated glycylglysine ] / 100mM - [deprotonated] = 7.4

⇒ [deprotonated glycylglysine ] = 7.4 [100mM] - 7.4[deprotonated]

⇒ [fully deprotonated] = 7.4 [100mM] / 8.4

= 88.09 mM

≈ 88mM

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How+long+will+it+take+for+the+voltage+across+the+capacitor+to+reach+60%+of+the+maximum+voltage

Answers

A series connection between a resistor and a capacitor creates an RC circuit, which charges the capacitor progressively through the resistor until the voltage across it equals the supply voltage. The time needed to fully charge the capacitor is about equal to 5-time constants, or 5T.

Any electrical or electronic circuit or system that receives a signal or voltage, whether continuous (DC) or alternating (AC), will experience some sort of "time-delay" between its input and output terminals. Commonly referred to as the circuit's time delay or time constant, this delay shows how long the circuit takes to respond to an input step voltage or signal.

The complete question is- How long does it take for the capacitor to reach its maximum voltage potential?

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Mass of solid sphere of gold 273.13kg. if density of gold is 19.32 g/cm3, find the diameter of the sphere.

Answers

Using solid sphere density, the diameter of the sphere is 29.98 cm.

We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as

ρ = m / V

where ρ is density, m is mass and V is volume

From the question above, we know that

ρ = 19.32 g/cm³

m = 273.13 kg = 273130 g

Find the volume of sphere

ρ = m / V

19.32 = 273130 / V

V = 273130 / 19.32

V = 14137.16 cm³

Find the diameter of sphere

V = 4/3 . π . r³

14137.16 = 4/3 . π . r³

r³ = 3373.64

r = 14.99 cm

d = 1/2 r

d = 2 . 14.99

d = 29.98 cm

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For any type of energy that exhibits wavelike behavior, multiplying the wavelength by the frequency will give the ______ of the waves.

Answers

By multiplying the frequency and wavelength we'll get speed of wave.

what is wavelength?

The separation between two successive wave crests or troughs is known as a wavelength. It is determined by measuring the wave's direction.

A wave's wavelength is the separation between its crests and troughs, which may be measured for electromagnetic, sound, or other types of waves.

The peak of the wave is called the crest, while the dip is its base. Wavelength is measured in length units like meters, centimeters, millimeters, nanometers, etc. since it is a measure of distance or length.

Wavelength of the wave = Wave speed/Frequency

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This is for ESS(Earth Space Science
You are a palaeontologist studying a rock formation with two rock layers next to each other that are noticeably different in their compositions. The difference between the layers suggests that a mass extinction event occurred between them. The following table shows the number of fossils of each group found per layer.
What conclusions can you draw?

1. The number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.

2. Dinosaur and mammal fossils are present in layer B but not in layer A. Therefore, layer A probably formed before the Permian-Triassic extinction and layer B after.

3. Dinosaur and mammal fossils are present in layer A but not in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.

4. The number of fossils of amphibians and marine organisms is particularly reduced in layer A. Therefore, layer A probably formed before the Permian-Triassic extinction and layer B after.

Answers

The best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after. That is option A.

Who is a palaeontologist?

A palaeontologist is an individual that has been professionally trained to obtain information from fossils and studying of the rock formations.

Fossil is defined as the preserved organic remains of living organism such as bones, shells, exoskeletons, stone imprints of animals or microbes which may have lasted for many geologic ages.

From the given table, different fossils are being identified in two rock layers such as Layer A and layer B.

Layer A contains a higher number of fossils of reptiles, amphibians and marine organisms than seen in Layer B rock formation.

Therefore, the best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.

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A prairie dog runs 60 meters west, and then 80 meters northwest.

Find the components in the horizontal and vertical direction.
Find the magnitude of the resultant vector, correct units, the angle, and the direction words (e.g. south of east, north of west, etc.).

Answers

23 km when x1+ x2 = 0.87/10. is the main answer.

The size of a vector in the x-direction is expressed by its x-component, also known as its horizontal component. The size of a vector in the y-direction is represented by its y-component, also known as its vertical component. A projectile's trajectory is determined by velocity in two dimensions. The projectile's x and y components each represent its horizontal and vertical motion, respectively. Meters are the units used to indicate both horizontal and vertical distances (m).

A+B=A= (x1+x 2) i+20 jx1+x2/20

=tan60 = 0.5/0.87.

A=x1 i+10 j.

B=x2 i+10 j.

A+ B = (.87/10) 2 + 20 /2

= 23 km when x1+ x2 = 0.87/10.

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