an aluminium wire of length 1.0 meter has a resistance of 9 * 10^-3 ohm. if the wire were cut into two equal lengths, each length woul dhave a resistance of

Answers

Answer 1

If an aluminum wire of length 1.0 meter has a resistance of 9*10^-3 ohms, then each length of the wire will have a resistance of 4.5*10^-3 ohms when the wire is cut into two equal parts with uniform cross-sectional area.

If an aluminum wire of length 1.0 meter has a resistance of 9 * 10^-3 ohm, and it is cut into two equal lengths, each length would have a resistance of:

The formula for resistance is R = ρ * (L/A), where R is the resistance, ρ is the resistivity, L is the length, and A is the cross-sectional area. When the wire is cut into two equal lengths, the length L becomes 0.5 meters (1.0 meter / 2).

Since the resistivity and cross-sectional area remain the same, you can set up a proportion:

R1 / R2 = L1 / L2

Where R1 is the original resistance (9 * 10^-3 ohm), R2 is the resistance of each half, L1 is the original length (1.0 meter), and L2 is the length of each half (0.5 meters).

(9 * 10^-3) / R2 = 1.0 / 0.5

Now, solve for R2:

R2 = (9 * 10^-3) * (0.5 / 1.0) = 4.5 * 10^-3 ohm

So, if the wire is cut into two equal lengths, each length would have a resistance of 4.5 * 10^-3 ohm.

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Related Questions

Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high temperature of 77∘F occurs at 6 PM and the average temperature for the 24-hour time period is 59∘F . Find the temperature at 7 AM to the nearest tenth of a degree.

Answers

At 7 AM (13 hours after 6 PM), the temperature would be close to the average temperature of 59°F, which can be approximated to 65.9°F.

What is the approximate temperature at 7 AM?

The temperature over a 24-hour period can be modeled using a sinusoidal function, given that the high temperature of 77°F occurs at 6 PM and the average temperature is 59°F.

To find the temperature at 7 AM, we need to consider the characteristics of a sinusoidal function. In this case, the function represents a single day, with the peak temperature at 6 PM and the average temperature over the 24-hour period.

Since a sinusoidal function repeats itself every 24 hours, we can infer that the low temperature would occur 12 hours after the high temperature. Therefore, at 7 AM (13 hours after 6 PM), the temperature would be close to the average temperature of 59°F, which can be approximated to 65.9°F.

To gain a deeper understanding of sinusoidal functions and their applications in modeling temperature variations over time, it would be beneficial to explore topics such as periodic functions, trigonometry, and mathematical modeling.

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Magnesium hydroxide is used in?

soap

batteries

antacids

detergents

Answers

The answer is antacids

Answer:

Antacids.

Explanation:

Magnesium hydroxide is commonly used for sicknesses and etc.

Find the value of t 0.025 for a t-distribution with 20 degrees of freedom. round your answer to three decimal places, if necessary.

Answers

The value of t 0.025 for a t-distribution with 20 degrees of freedom is approximately -2.086.

To find the value of t 0.025 for a t-distribution with 20 degrees of freedom, we can use a t-table or a statistical software.

Using a t-table, we locate the row for 20 degrees of freedom. Then, we find the column corresponding to a two-tailed significance level of 0.025.

In this case, the value of t 0.025 is approximately -2.086.

Therefore,  the value of t 0.025 for a t-distribution with 20 degrees of freedom is approximately -2.086.

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the worker's pull on the handle of the cart can best be described as a force having a a horizontal component , only b a vertical component , only c a horizontal and a vertical component d no directional component

Answers

The worker's pull has both the horizontal and the vertical component that is : both magnitude and direction.

Why would the force have horizontal and vertical component ?

Draw the force vector graphically, then a horizontal and vertical line that forms a right triangle. It is possible to measure the connections between the horizontal and vertical lines graphically or alternatively by computation.

In mechanics, horizontal and vertical components are frequently seen.

Two forces that are mutually perpendicular to one another can be used to break down a force acting in one direction into its component parts.

Thus we will get the two components the vertical component being the N that is normal and the horizontal component is f = friction.

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Why does lighting usually
lighting usually strike build
buildings and electric poles ?​

Answers

GREETINGS!

lightening usually strikes the metal pole and cables above the building because they provide a safe low resistance pathway to the lightening to move from building from the concrete steel to the ground below, thats how building doesnt get any damage and high electric charge passes through it

HOPE IT HELPS YOU!

i need help with this question on circuits!!

i need help with this question on circuits!!

Answers

Answer:

B

A

A

B

Explanation:

In the wiring of houses, a parallel circuit is used, otherwise, if the circuit of one of the parts is interrupted, the current will not enter the other circuits.

First To Answer With Correct Answer and Full Reasoning Will Be Marked Brainliest! A student holds a water balloon outside of an open window and lets go. The window is 10 meters above the ground, and the balloon is falling under the acceleration of gravity, which is 9.8 m/s2. There are two equations that can be used to describe its motion over time:


x=x0+v0t+12at^2

v=v0+at

Would the balloon hit the ground before or after 1.0 s of falling? Which equation did you use to decide, and what comparison did you make to determine that it would or would not hit the ground by then?


Use 3–5 sentences to explain your reasoning.

Answers

Answer:

x = x0 + v0 t + 1/2 a t^2

The question asks for distance traveled in 1 sec

x0 = 0

v0 = 0

This leaves

x = 1/2 a t^2

x = 1/2 * 9.8 /s^2 * 1 s^2 = 4.9 m

The balloon will fall 4.9 m in the first second.

Explain why there would be a force on a magnet as a result of the magnet being moved in the proximity of a coil of wire.

Answers

A force on a magnet occurs when it is moved near a coil of wire due to electromagnetic induction.

When a magnet is moved near a coil of wire, the changing magnetic field created by the movement of the magnet induces an electric current in the wire. This induced current, in turn, generates its own magnetic field, which opposes the change in the original magnetic field according to Lenz's law. This interaction between the magnetic fields creates a force on the magnet.

The force on a magnet when moved near a coil of wire results from the electromagnetic induction and the interaction of magnetic fields due to the induced current in the wire.

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What happens to the momentum of an object when velocity is kept the same and the mass is increased?

Answers

momentum = mass x velocity so if velocity is kept same and mass is increased then momentum will increase.

How many grams of potassium may be formed by the passage of 5.92 amps for 1.94 hours through an electrolytic cell that contains a molten potassium salt.

Answers

mass of the potassium formed by the passage of 5.92 amps for 1.94 hours through an electrolytic cell that contains a molten potassium salt is 16.41g

Total amount of current in amps = 5.92 Columbus/ sec(I)

total time period = 1.94 h = 1.94 X 3600 sec = 6984 sec(t)

initially electric charge Q is calculated  Q =I X t =41,345.28 Columbus

now molar mass of K is 39.09g/mol and faradays constant = 96485 so by the formula , n=Q/F = 41,345.28/96485 =0.4285mol  now, m = nM where n is number of mol and M is molar mass of K  so 0.42 X 39.09=16.41g

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A -0.6 C charge that moves downward is in a uniform electric field with a strength of 200 N/C what is the magnitude and direction of the force on the charge

Answers

Answer:

The magnitude and direction of the force on the charge is 120 N in the direction of the charge.

Explanation:

Given;

magnitude of the charge, q = 0.6 C

electric field strength, E = 200 N/C

The magnitude of the electric force is calculated as;

F = Eq

where;

F is the magnitude of the force

Substitute the given values and solve for F;

F = (200)(0.6)

F = 120 N in the direction of the charge.

Therefore, the magnitude and direction of the force on the charge is 120 N in the direction of the charge.

a railroad diesel engine weighs four times as much as a freight car. the diesel engine coasts at 5.2 km/h into a freight car that is initially at rest. part a use conservation of momentum to find a speed at what the engine car coast after they couple together. express your answer to two significant figures and include the appropriate units.

Answers

We can use the conservation of momentum to solve this problem. The system's total momentum before the collision is zero since the freight car is initially at rest. After the collision, the two objects will move together with a common velocity.

Let's denote the mass of the freight car as m and the mass of the diesel engine as 4m. The initial momentum of the system is:

p = (4m)(5.2 km/h) = (4m)(1.44 m/s) = 5.76m m/s

After the collision, the two objects will move together with a common velocity, v. The final momentum of the system is:

p' = (5m)v

According to the conservation of momentum, the initial momentum and final momentum of the system must be equal:

p = p'

Substituting the expressions for p and p', we get:

5.76m m/s = (5m)v

Solving for v, we get:

v = 1.15 m/s

Therefore, the diesel engine and the freight car will move together at a speed of 1.15 m/s after they couple together. Note that we converted the initial velocity of the diesel engine from km/h to m/s by multiplying by 1000/3600.

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3. what are the heat transfer mechanisms involved during heat transfer in a liquid-to-liquid heat exchanger from the hot to the cold fluid?

Answers

The heat transfer mechanisms in a liquid-to-liquid heat exchanger from the hot to the cold fluid include conduction, convection, and radiation. Conduction and convection are the primary mechanisms, while radiation plays a minor role.

The heat transfer mechanisms involved during heat transfer in a liquid-to-liquid heat exchanger from the hot to the cold fluid are conduction, convection, and in some cases, radiation.

1. Conduction: This is the process of heat transfer through direct contact between the hot and cold fluids. The heat moves from the hot fluid to the cold fluid through the solid walls of the heat exchanger.

2. Convection: This mechanism occurs due to the movement of fluids in the heat exchanger. The hot fluid transfers heat to the solid walls of the heat exchanger, and the cold fluid receives the heat from the walls as it flows. The movement of fluids enhances the heat transfer rate.

3. Radiation: Although less significant in liquid-to-liquid heat exchangers, radiation is the transfer of heat through electromagnetic waves. The heat is emitted from the hot fluid and absorbed by the cold fluid without the need for direct contact or fluid movement.

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Suppose the position of an object moving in a straight line is given by s(t)=2t 2+5t+5. Find the instantaneous velocity when t=2. The instantaneous velocity at t=2 is

Answers

The instantaneous velocity at t=2 is 21 units per second.

To find the instantaneous velocity, we need to take the derivative of the position function with respect to time.

Given s(t) = 2t^2 + 5t + 5, taking the derivative with respect to t, we get:

v(t) = d(s(t))/dt = d(2t^2 + 5t + 5)/dt

v(t) = 4t + 5

To find the instantaneous velocity at t=2, substitute t=2 into the velocity function:

v(2) = 4(2) + 5 = 8 + 5 = 13 units per second

Therefore, the instantaneous velocity at t=2 is 13 units per second.

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Q3: How does the way the wings of these insects make sounds compare to the way that instruments make
sounds?

Answers

One way they make sounds is by rubbing one of their hind legs, which has rows of pegs on the inside, against the stiff outer edge of their wing. These sounds are produced in order to find a mate and protect their territory. Grasshoppers can also make loud snapping or cracking sounds with their wings as they fly.

if the cross-sectional area of the venture tube is 2 times larger at point a than it is at point b .what the air speed at point b is? (25.6 m/s)

Answers

If the cross-sectional area of the venturi tube is 2 times larger at point a than it is at point b then according to the continuity equation, the airspeed at point B is 0 m/s.

we know that the cross-sectional area of the Venturi tube is 2 times larger at point A than it is at point B.

Therefore, we can infer that the airspeed at point B is higher than the airspeed at point A. To determine the airspeed at point B, we can use the continuity equation.

It states that the mass flow rate of a fluid through a tube is constant at all points along the tube. Mathematically, this can be expressed as:

A1V1 = A2V2

where A1 and V1 are the cross-sectional areas and airspeed, respectively, at point A, and A2 and V2 are the cross-sectional areas and airspeed, respectively, at point B.

We are given that the airspeed at point A is 0 m/s, and the cross-sectional area at point A is 2 times larger than at point B.

Let's denote the cross-sectional area at point B as A, so the cross-sectional area at point A is 2A. We are also given that the airspeed at point B is V2.

By using the continuity equation, we can write:

(2A)(0 m/s) = AV2

Simplifying this equation, we get:

V2 = 0 m/s / 2

V2 = 0 m/s

Therefore, according to the continuity equation, the airspeed at point B is 0 m/s.

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What happens when solid ice cream melts

Answers

When solid ice cream melts it turns into liquid form.

            Ice cream initially is in solid form and when it melts it turns into liquid form. Melting of ice cream is reversible, when the temperature around the ice cream is more than the temperature needed to keep it in solid form, it turns into liquid and can be reversed back into solid form by keeping it back into the lower temperature.

           Also, the sugar lower its freezing point and ice cream has more air than its actual volume which allows it to melt faster at higher temperatures.

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A 3.0 kg block is pushed from rest up a frictionless 20° slope with a 16.0 N force acting parallel to the incline. How far did the block travel in 2.0 seconds?

Answers

We can start by breaking down the 16.0 N force into its components parallel and perpendicular to the slope.

The force parallel to the slope is given by F = mgsin(20°), where m is the mass of the block and g is the acceleration due to gravity. Plugging in the values, we get:

F = (3.0 kg)(9.81 m/s^2)sin(20°) = 9.81 N

This is the net force acting on the block parallel to the slope. Using Newton's second law, we can find the acceleration of the block as:

a = F/m = 9.81 N / 3.0 kg = 3.27 m/s^2

Since the slope is frictionless, there is no opposing force, and the entire force parallel to the slope goes towards accelerating the block.

Now, to find the distance traveled by the block in 2.0 seconds, we can use the kinematic equation:

x = (1/2)at^2

where x is the distance traveled, a is the acceleration, and t is the time. Plugging in the values, we get:

x = (1/2)(3.27 m/s^2)(2.0 s)^2 = 6.54 meters

Therefore, the block travels 6.54 meters up the slope in 2.0 seconds

Hope this helped!

A solenoid with a length of 6.5 cm and 200 loops is carrying 5 A of current. What is the
strength of the magnetic field at the center of the solenoid? Label the north and south pole of
the solenoid.

Answers

The strength of the magnetic field at the center of the solenoid is 0.006 T

Magnetic field calculation.

The strength of the magnetic field at the center of a solenoid is given by:

B = μ₀ * n * I

where B is the magnetic field strength, μ₀ is the permeability of free space, n is the number of turns per unit length of the solenoid, and I is the current flowing through the solenoid.

In this case, the length of the solenoid is not given, but we can assume that it is much greater than the diameter of the solenoid, so we can treat it as a long solenoid. The number of turns per unit length is given as 200 loops divided by the length of 6.5 cm, or:

n = 200 / 0.065 m = 3076.92 turns/m

The current flowing through the solenoid is 5 A.

The permeability of free space, μ₀, is a constant with a value of 4π x 10^-7 T m/A.

Therefore, the magnetic field strength at the center of the solenoid is:

B = μ₀ * n * I

= 4π x 10^-7 T m/A * 3076.92 turns/m * 5 A

= 0.006 T

So the strength of the magnetic field at the center of the solenoid is 0.006 T. The north pole of the solenoid is the end from which the magnetic field emerges, and the south pole is the end where it enters.

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three 36 ohm lightbulbs are connected in parallel to an 18v battery with negligable internal resistance. what is the current flowing through the battery?

Answers

The amount of current flowing through a battery of 18v when three 36 ohms are connected in parallel is 1.5A

We know that the formula for finding the total resistance when connected parallelly is,

1/R = 1/R1 +1/R2+1/R3

1/R = 1/36 +1/36 +1/36

1/R = 3/36

R = 36/3

R =12 ohm

Also, V=IR

where V is the voltage,

I is the amount of current

And R is the resistance

V=IR

⇒18=I×12

⇒I =18/12

⇒I=3/2= 1.5 A

Therefore a total of 1.5A current will flow through the system. when three 36 ohm bulbs are connected in parallel to a 18v battery.

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a 10khz sinusoidal current is applied to an rlc circuit, what is the frequency of the resulting voltage?

Answers

Summary: 1kHz The network's R component will only result in an active power.

Simply put, what does frequency mean?

The quantity of vibrations that pass a set location in a predetermined period of time is known as frequency. Therefore, if a wave passes through in half a second, the speed is 2 per sec. The speed is 100 times per hour if it occupies 1/100 of an hour.

How do frequencies function?

The frequency of a wave is the maximum number of waves generated in one second. Frequency refers to the amount of vibration measured each second. Here is an easy illustration: The frequency of both the waves will indeed be 5 hertz if five full waves are created in one second (Hz).

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A 3. 00 × 10^−9-coulomb test charge is placed near

a negatively charged metal sphere. The sphere

exerts an electrostatic force of magnitude

6. 00 × 10^−5 newton on the test charge. What is

the magnitude and direction of the electric field

strength at this location?

(1) 2. 00 × 10^4 N/C directed away from the

sphere

(2) 2. 00 × 10^4 N/C directed toward the sphere

(3) 5. 00 × 10^−5 N/C directed away from the

sphere

(4) 5. 00 × 10^−5 N/C directed toward the sphere

Answers

Given that the electric force exerted by the negatively charged metal sphere on the test charge is \(6.00 × 10^−5\) newtons and the test charge is \(3.00 × 10^−9\) coulombs, we have to find the magnitude and direction of the electric field strength at this location.

To calculate the magnitude of the electric field strength, we use the formula of Coulomb’s Law as shown below;\(Fe = k(q1q2)/r²\)where, Fe = force exerted, q1 and q2 = charges, r = distance between charges, k = Coulomb's constantPutting the values in the above formula, we get;

\(6.00 × 10^−5 = (9.00 × 10^9) (3.00 × 10^−9)q2 / r²\)

Thus, the electric field strength, E at this location is given by;

\(E = Fe / q2= (6.00 × 10^−5) / (3.00 × 10^−9)E = 2.00 × 10^4 N/C\)

Thus, the magnitude of the electric field strength at this location is \(2.00 × 10^4 N/C\).

As the test charge is negative, it experiences an electrostatic force directed towards the sphere, hence, the direction of the electric field strength is directed towards the sphere.Option (2) \(2. 00 × 10^4 N/C\) directed toward the sphere is correct.

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What is the approximate number of wavelengths of light that can travel in 1 direction within a retroreflecting bead that has a diameter of 5 × 10-5 m? (Note: The speed of light = 3 × 108 m/s, and its frequency is approximately 1015Hz.)
0.6
1.7 × 10^2
1.5 × 10^4
3.3 × 10^6

Answers

The approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.

Number of wavelengths of light in a retroreflecting bead with 5 × 10^-5 m diameter?

This calculation is based on the formula n = L/λ, where n is the number of wavelengths, L is the length of the object, and λ is the wavelength of light. To calculate the wavelength of light, we use the formula c = λf, where c is the speed of light and f is the frequency of light.

In this problem, we are given the diameter of the retroreflecting bead, which is assumed to be spherical. Therefore, its length is equal to its diameter, which is 5 × \(10^-^5\)m. We are also given the speed of light, which is 3 × \(10^8\) m/s, and an approximation of the frequency of light, which is \(10^1^5\) Hz.

Using the formula c = λf, we can solve for the wavelength of light:

λ = c/f = (3 ×\(10^8\) m/s)/\((10^1^5\)Hz) = 3 ×\(10^-^7\)m

Finally, we can use the formula n = L/λ to calculate the approximate number of wavelengths of light that can travel in one direction within the retroreflecting bead:

n = L/λ = (5 ×\(10^-^5\) m)/(3 ×\(10^-^7\) m) = 166.67 ≈ 167

Therefore, the approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.

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Think of a technology or appliance that you use regularly. Identify the transfers and transformations of energy necessary to operate the technology. Explain your answer
PLZZ

Answers

Answer:

Energy conversion

Explanation:

We regularly use automobile which runs on the chemical energy of the fuels such as diesel and petrol, the chemical energy from the fuel would convert into the thermal energy which is used to drive the engine of the vehicle,further the thermal energy converted into the mechanical energy which is used to drive the prime mover of the automobile.

What is thermal energy?

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

We frequently utilize vehicles that operate on chemical energy from fuels like diesel and gasoline.

This chemical energy is transformed into thermal energy, which drives the engine of the vehicle, and then mechanical energy, which drives the prime mover of the vehicle.

Thus, we can say that the transfers and transformations of energy are necessary to operate the technology.

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At the beginning of Iliad 22, Priam is looking at the battlefield from the walls of Troy and he sees someone that the narrator compares to a star with the following simile. Who is described?
A. the star that comes at summer's end, its clear gleaming.
B. in the milky murk of night displayed among the multitude of stars.
C. the star they give the name of Orion's Dog.
D. most radiant it is, but it makes an evil portent.

Answers

The description of Xenilia. The following simile is used by the narrator of Iliad 22 to describe a character that Priam observes as he surveys the battlefield from the walls of Troy.

The original Troy village was surrounded by stone walls that had been strengthened numerous times. Because the walls were built on bedrock, no traces of human occupation can be found below them. There has always been a meters-wide southern gate on this section of the fortifications. The walls of the agreement are gently slanted inward.

Like we can see, each of these walls is designed to provide security, but each one also serves a different purpose for a great hero, as Achilles and Hector, among others, are compared to.

Troy's archaeological site contains magnificent fortress walls that are up to 8 meters high and 5 meters thick, built from enormous limestone blocks. Troy VI is the era that is currently most apparent at the site and is the most likely candidate for the besieged city in Homer's Trojan War.

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What’s 2.3 miles into kilometers

Answers

3.701 kilometers hope that helps

Answer:

3.70149

Explanation:

what is the radius of an automobile tire that turns with a frequency of 25 hz and has a linear speed of 18 m/s?

Answers

The radius of the automobile tire is approximately 0.1142 meters that turns with a frequency of 25 hz and has a linear speed of 18 m/s.

To find the radius of an automobile tire given its frequency and linear speed, we can use the formula:

v = 2πrf

where v represents the linear speed, r is the radius of the tire, and f is the frequency.

In this case, the frequency is given as 25 Hz, and the linear speed is given as 18 m/s. By substituting these values into the formula, we can solve for the radius.

Rearranging the formula to solve for r, we have:

r = v / (2πf)

Plugging in the given values, we get:

r = 18 m/s / (2π * 25 Hz)

r ≈ 0.1142 m

This calculation shows how the linear speed and frequency of rotation are related to the radius of the tire. As the frequency increases, indicating more revolutions per second, and the linear speed increases, the radius of the tire remains constant. The linear speed of the tire depends on factors such as the speed of the vehicle, the size of the tire, and the rotational speed determined by the engine.

It's important to note that this calculation assumes a uniform tire rotation without any slipping or additional factors that may affect the tire's behavior. In practical scenarios, there can be variations due to factors such as tire wear, road conditions, and other dynamic forces.

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a widely-accepted explanation of the natural world that is supported by rigorous experimental testing and consistent conclusions is a:

Answers

A scientific theory refers to a well-substantiated explanation of natural phenomena that is supported by rigorous experimental testing and consistent conclusions. The scientific theory is a widely-accepted explanation of the natural world that is supported by rigorously tested experiments and consistent conclusions

The widely-accepted explanation of the natural world that is supported by rigorous experimental testing and consistent conclusions is a scientific theory. In science, a theory is not merely a conjecture or an assumption; it is a well-substantiated explanation of natural phenomena that is supported by rigorous experimental testing and consistent conclusions.

Scientific theories are based on empirical observations, logical reasoning, and mathematical models, and they are subject to modification or rejection when new evidence emerges that contradicts them. Scientific theories, in contrast to scientific laws, explain why things happen rather than simply describing what happens.

They are typically tested through experiments or observations that are designed to test the predictions generated by the theory, and they are subjected to peer review by other scientists to ensure that the methods used are rigorous and the conclusions drawn are sound.

Scientific theories are critical to our understanding of the natural world because they provide explanations for why things happen and enable us to predict what will happen under specific conditions. They are also essential for the development of new technologies and for the advancement of human knowledge.

For example, the theory of evolution provides an explanation for how life on Earth has changed over time, and this has led to the development of new medical treatments and the discovery of new organisms.

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. When a grating with 300 lines per mm is illuminated normally with a parallel beam of monochromatic light a second order principle maximum is observed at 18.9degrees

to the straight through direction.

Find the wavelength of the light.

Answers

According to the problem the wavelength of the light is 5.67 μm.

What is wavelength?

Wavelength is the distance between one point on a wave and the next corresponding point of the same phase on the wave. It is usually measured in meters (m) or nanometers (nm). Wavelength is closely related to frequency, as the frequency of a wave is equal to the speed of the wave divided by the wavelength. Wavelengths are used to measure various forms of electromagnetic radiation, such as visible light, radio waves, and x-rays. The wavelength of a wave determines its color, as visible light is made up of a spectrum of different wavelengths.

The angle of diffraction of a given wavelength of light through a grating is given by the equation: θ = (m*λ)/d

where θ is the angle of diffraction, m is the order of diffraction, λ is the wavelength of the light and d is the line spacing of the grating.
In this case, m = 2 (second order principle maximum), d = 300 lines/mm and θ = 18.9 degrees.
Solving for λ gives us: λ = (d*θ)/m
Substituting in the values gives us: λ = (300*18.9)/2 = 5670 nm = 5.67 μm

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(a) calculate the self-inductance of a 54.0 cm long, 10.0 cm diameter solenoid having 1000 loops. mh (b) how fast can it be turned off if the induced emf cannot exceed 3.00 v and a current of 22.0 a flows through this inductor? s

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Self-inductance is 23.4 mH 0.145 seconds it is turned off it be turned off if the induced EMF cannot exceed 3.00 v and a current of 22.0 a flows through this inductor.

What is Self-inductance?As the current in the coil changes, the magnetic flux associated with the coil also changes, thus inducing an electromotive force in the coil. This phenomenon is referred to as self-induction. Self-induction of a coil is a property due to its tendency to maintain a magnetic flux associated with it and to counteract changes in magnetic flux by inducing current. This property of coils is similar to mechanical inertia. That is why self-induction is called electric inertia. The self-inductance of a coil is numerically equal to the amount of magnetic flux associated with the coil when a unit current flows through it. The SI unit for self-inductance is the henry (H) or weber per ampere. 1H = 1Wb/A.

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