what is the wavelength of light falling on double slits separated by 1.82 µm, if the third-order minimum is at an angle of 57.0°?

Answer:

Explanation:

The force supplied by the train can be found by using the formula

\(f = \frac{w}{d} \\ \)

w is the workdone

d is the distance

From the question we have

\(f = \frac{578000}{960} \\ = 602.083333...\)

We have the final answer as

Hope this helps you

The force supplied by the train is 602.1 N.

This can be defined as the product of mass and the acceleration of a body.

To calculate the amount of force supplied by the train, we use the formula below.

Formula:

Where:

Make F the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, The force supplied by the train is 602.1 N.
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Solar radiation refers to the emission of energy, particularly in the form of electromagnetic waves, resulting from the fusion of hydrogen in the sun's core. These radiations have wavelengths that range from less than one nanometer to more than one kilometre. They are absorbed, reflected, or transmitted by different mediums, including glass covers of solar collectors.

The glass covers of solar collectors are designed to allow the passage of solar radiation to reach the underlying absorbing surfaces and prevent their losses due to convection, conduction, or radiation. When solar radiation is incident on the glass cover of a solar collector at a rate of 700 w/m2, it is transmitted through the glass in part, reflected in part, and absorbed in part.

The amounts of transmission, reflection, and absorption depend on the characteristics of the glass, such as its thickness, refractive index, and transparency. For instance, a thin, clear, and transparent glass with a low refractive index would transmit most of the solar radiation and reflect and absorb a small fraction of it. The absorbed solar radiation raises the temperature of the absorbing surface, which could be a fluid, a metal, or a semiconductor.

The heat thus generated can be used for various applications, such as heating, cooling, and electricity generation.  Thus, the solar radiation incident on the glass cover of a solar collector is transmitted through the glass, reflected in part, and absorbed in part to generate heat.

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Answer:

The volume of the ideal gas on another planet will be 6.7 m³.

Explanation:

We can find the volume occupied by the ideal gas on another planet by using the Ideal Gas Law:

\( PV = nRT \)

Where:

P: is the pressure

V: is the volume

n: is the number of moles

R: is the gas constant = 8.206x10⁻⁵ m³ atm K⁻¹mol⁻¹

T: is the temperature              

Since the gas occupies a volume of 8.7 m³ with a pressure of 6 atm and temperature 4.8 °C on earth, we have the following number of moles:

\( n = \frac{PV}{RT} = \frac{6 atm*8.7 m^{3}}{8.206 \cdot 10^{-5} m^{3}atm/(Kmol)*(4.8 + 273)K} = 2289.9 moles \)

Now we can calculate the volume occupied by the ideal gas on another planet:

\( V = \frac{nRT}{P} \)

With T = 8.7 °C and P = 7.9 atm

\( V = \frac{2289.9 moles*8.206 \cdot 10^{-5} m^{3}atm/(Kmol)*(8.7 + 273)K}{7.9 atm} = 6.7 m^{3} \)

Therefore, the volume of the ideal gas on another planet will be 6.7 m³.

I hope it helps you!                              

The type of engine that has a wheel with several blades mounted on a shaft that rotates when hit with heated air at a high velocity is called a gas turbine engine.

The gas turbine engine is also known as a combustion turbine engine. A gas turbine engine is a type of internal combustion engine that converts the chemical energy of fuel into mechanical energy, which can be used to power various machines and equipment. The engine works by compressing air and then mixing it with fuel in a combustion chamber, where it is ignited to produce a high-temperature, high-pressure gas stream. This gas stream then flows through a series of turbine blades, causing them to spin, which drives a shaft that is connected to various machines or equipment. As the shaft rotates, it generates mechanical power that can be used for various applications.

Gas turbine engines are commonly used in aircraft, power plants, and marine propulsion.

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Answer:

A) 20.8 m/s

B) h_max = 11 m

Explanation:

A) Formula for projectile range is;

R = (u²sin2θ)/g

We want to find initial velocity, so let's make u the subject.

u = Rg/sin2θ

We are given;

R = 44 m

θ = 45°

Thus;

u = √[(44 × 9.8)/sin 2(45)]

u = √[431.2/sin 90]

u = 20.77 m/s ≈ 20.8 m/s

B) maximum height will be gotten from the formula;

h_max = (R tan θ)/4

h_max = (44 × tan 45)/4

h_max = (44 × 1)/4

h_max = 11 m

The speed of the ball immediately after being struck is 28.65 m/s.

Impulse is equal to momentum change when a collision happens and no external forces on the system.

I = Δp

I = p' - p

I = mv - mu

Parameter

I = mv - mu

9.97 = 0.34v - (0.34×0)

9.97 = 0.34v

\(v = \frac{9.97}{0.34}\)

v = 28.65 m/s

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Answer:

No.

Explanation:

The cut cucumber is still a cucumber.

Answer:

Nope.

Explanation:

Chemical change is transforming the cucumber into a pickle. However, you need vinegar, so it isn't a full change.

Therefore, Mr. Mann would not be right either way, because all he did was cut a cucumber, and he should probably get some help with all this "chemical change".

Answer:

54 Km per hour..

Explanation:

Multiply the speed value by 3.6

(A) The relationship between current and voltage when resistance is constant represents by graph 2. Option B is correct.

(B) Relationship between current and voltage is direct. Option B is correct.

Resistance is the electric component that regulates the flow of current through the conductors or circuits.

Here,
From ohm's low, we have
Voltage = Current × resistance

As resistance = constant
Voltage ∝ Current

The above expression implies that Voltage becomes directly proportional to the current. So as current increases voltage also increases simultaneously [Option B is correct]. And graph between current and voltage will be a straight line passing through the origin Option B is correct.

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The voltage or potential difference across an electric circuit is directly proportional to the current flowing through the circuit. Thus, the correct options for 1 and 2 are B and B, respectively.

Ohm's law is the description of the relationship between two variables which are current, voltage, and a constant called resistance. The amount of steady current which passes through a large number of materials is directly proportional to the potential difference, or the voltage across the materials or electric circuit.

It can be expressed as: V = IR

where, V is the potential difference across the circuit,

I is the electric current,

and R is the resistance

As voltage is directly proportional to the current. If the voltage is increasing, then the current will also increase and if the voltage decreases then the amount of current through the circuit also decreases.

Therefore, the correct options for 1 and 2 are B and B, respectively.

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Answer:

E = 16 J

Explanation:

Given that,

Mass of a book, m = 2 kg

Velocity of the book from the backpack, v = 4 m/s

We need to find the kinetic energy of the book falling out of the backpack. Due to the motion of the object, kinetic energy is possessed by it. It can be given by :

\(E=\dfrac{1}{2}mv^2\\\\=\dfrac{1}{2}\times 2\ kg\times (4\ m/s)^2\\\\=16\ J\)

So, the kinetic energy of the book is 16 J.

Motion is created by kinetic energy. K.E. = 1/2 mv2 can be used to calculate an object's kinetic energy.

Motion is the change in an object's location with relation to time. Motion is described mathematically using terms like displacement, velocity, distance, kinetic energy, and speed.

Kinetic energy is essentially the energy underlying motion and can be observed in the movement of objects or subatomic particles. Every atom or object in motion contains kinetic energy.

A human walking, a baseball flying through the air, food falling from a desk, and an alpha object in an electric field are all example of kinetic in action.

The equation for calculating the angular momentum of an object with mass m and motion is K.E. = 1/2 mv^2.

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Answer:

The answer is A. The instant it is thrown.

Explanation:

Answer:

c. At the top.

Explanation:

A projectile path has a vertical and horizontal component to it or 2d kinematics. But gravity is acting on the projectile the whole time so it is going to stop it from going up and bring it back to the ground at its max ordinance. At that instant the velocity would be 0.

The power rating on a light bulb indicates how much power it would dissipate when it is connected across a voltage supply.

The resistance of the bulb in the circuit is 2Ω,calculated from Ohm's Law V=IR, 4.5V/0.50A = 9Ω. 2.

a) Conventional current flows from point a to point b in a clockwise direction.  

b) At point a, the electron will feel more electric potential as this is its origin point and it has higher energy compared to point b which is the end of the wire with lower energy. At point a, the electron will have more electric potential energy due to its origin point.

c) a) Electric consumption for a 60W bulb is 0.06kW-hr/hour. Therefore, for a 30-day month, cost to leave the light turned on continuously is $0.06 kW-hr* 24hr/day* 30 days = $43.2. Required current is I = P/V = 60W/120V = 0.5 A. Resistance of the bulb is R = V/I = 120V/0.5A = 240Ω.

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Therefore, the correct interpretation of the statement is that the Sun's mass is insignificant compared to the mass of the galaxy.

The statement "the mass of the Sun is completely trivial compared to the mass of the Galaxy" means that the mass of the Sun is insignificant or very small when compared to the mass of the Milky Way Galaxy.

This statement highlights the vast difference in scale between the mass of the Sun and the mass of the entire galaxy. The Milky Way Galaxy is a massive collection of stars, gas, dust, and dark matter, while the Sun is just one star among billions within the galaxy. The mass of the Sun is relatively small when compared to the total mass of all the stars, gas, and dark matter present in the Milky Way.

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The ratio of an object's mass to volume is known as its density. Density is defined as the product of mass and volume, or D = m/v. Because of the size, mass, and arrangement of each substance's atoms or molecules, each substance has a unique characteristic density.

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Rx and Ry represent the x- and y-components of the force of the current, respectively.

The magnitude of the force of the current, or the strength of the current, is represented by |r|. In terms of the forces moving the boat, the x- and y-components of the force of the current represent the horizontal and vertical forces that the current exerts on the boat.

|r| represents the magnitude of this force, which can be thought of as the intensity of the current. The stronger the current, the greater the force it will exert on the boat and the greater impact it will have on its movement.

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It takes 0.58 seconds for the cargo to hit the ground and it travels 0 feet horizontally.

What is cargo?
Bulk goods transported by water, air, or land are referred to as cargo. In the language of economics, freight refers to cargo that is transported for profit at a freight rate. Originally referring to a shipload, the term "cargo" is now used to refer to all forms of freight, including that transported by rail, van, truck, or intermodal container. Because perishable inventory is always moving toward a final end-use, even when it is kept in cold storage or another similar climate-controlled facility, the term "cargo" is also used to refer to goods in the cold-chain. Freight is a term that is frequently used to refer to the flows of goods that are transported via any mode of transportation. In particular by shipping lines and logistics operators, multi-modal container units, designed even though reusable carriers to facilitate unitized handling of a goods contained, are also known as cargo.

To solve for the time it takes for the cargo to hit the ground, we need to solve for t. To do this, we'll use Equation 1 and set y = 0, since the cargo will hit the ground at y = 0.
0 - 16.1t2 + 4.5
16.1t2 = -4.5
t2 = -4.5 / 16.1
t = √(-4.5 / 16.1) ≈ 0.58 seconds

To solve for the horizontal distance the cargo travels, we'll use Equation 2, setting t = 0.58 seconds.

0.0047(x2) + 4.5
x2 = (4.5 - 4.5) / 0.0047
x2 = 0 / 0.0047
x = √(0 / 0.0047) ≈ 0 feet

Therefore, it takes 0.58 seconds for the cargo to hit the ground and it travels 0 feet horizontally.

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Two factors. The independent variable is the light colour and the dependent variable is the mood. The ambient colour is not a factor as it is being controlled in each room.

A within-subjects experiment is used to assess the effect of light colour on mood. The experiment has a single light bulb with three different ambient colour schemes. The experiment features three rooms each with a different light bulb, there are factors in this experiment.
In this within-subjects experiment designed to assess the effect of light colour on mood, there is 1 factor being manipulated, which is the ambient colour of the light bulb.

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Answer:6CO2 + 6H20 + (energy) → C6H12O6 + 6O2 Carbon dioxide + water + energy from light produces glucose and oxygen

Explanation:

The volume of the copper having a mass of 4.5 g and a density of 8.96 g/cm³ is 0.502 cm³

The mathematical representation of the density of a substance can be expressed as

Density = mass / volume

With the above formula, we can obtain the volume. Detail below.

The volume of the copper can be determined as illustrated below:

Density = mass / volume

8.96 = 4.5 / volume of copper

Cross multiply

8.96 × volume of copper = 4.5

Divide both sides by 8.96

Volume of copper = 4.5 / 8.96

Volume of copper = 0.502 cm³

Thus, the volume of the copper is 0.502 cm³

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Answer:

The final velocity is 50 m/s.

Explanation:

Below is the calculation of velocity:

v = u + a*t

v = final velocity

u = initial velocity

a = accreleration

Since, u = 0, a = 10m/s^2, and t = 5 seconds. Now plug these values in the formula.

v = u + a*t

v = 0 + 10 x 5

v = 50 m/s

The final velocity is 50 m/s.

Answer:

No, work isn't being done by Johnny.

Explanation:

Work can be defined as the energy transferred to a physical object by exertion of a force on the object to cause a displacement of the object. Thus, work is typically done when a person or simple machine move an object over a distance through the application of a force.

Mathematically, work done is given by the formula;

Work done = force * distance

\( W = F * d\)

Where,

W is the work done

F represents the force acting on a body.

d represents the distance covered by the body.

In this scenario, Johnny's push didn't cause a displacement of the wall and as such no work is done.

Answer:

b. the seasons

Explanation:

Answer.:

Explanation:

The image is either virtual or real and the height of the image is 10cm.

To find the image type and its height, we need to know about the magnification of convex lens.

          Height of image/height of object or image distance(V) / object distance(U)

So, image height = magnification × object height

                            = 2×5 = 10 cm

Thus, we can conclude that the image is virtual if it's formed on the left of the lens and is real if it's formed on the right of the lens. The height of the image is 10 cm.

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Let's determine the type of waves that interact with each other to make nodes and antinodes when the string in a violin vibrates.

Sanding waves can be said to be a combination of two waves which move in opposite direction. Each of the waves have the same frequency and amplitude.

These waves interact with each other.

They are also called stationary waves.

They make nodes and antinodes which are found where the wave forms.

Therefore, when the string in a violin vibrates, the waves which interact with each other to form nodes and antinodes can be classified as standing waves.

ANSWER:

Standing waves.

Answer:

The answer to the question is period

Answer:

3. you need to ask your available lab instructors what to do.

4. You immediately have to drop down your cloth and roll it to extinguish the fire or move to the emergency shower if available

5. You have too keep calm and report to the lab instructor but do no shout.

6. Move immediately to the eye rinse basin if available and wash your eyes gently and thoroughly

Answer:

Stars aren't visible during the sunlit hours of daytime because the light-scattering properties of our atmosphere spread sunlight across the sky. Seeing the dim light of a distant star in the blanket of photons from our Sun becomes as difficult as spotting a single snowflake in a blizzard.

Explanation:

If two identical parallel plate capacitors are given the same charge Q, and after one is filled with a dielectric, the potential energy of the capacitor with the dielectric is k/2 times the potential energy of the capacitor without the dielectric.

The potential energy of a capacitor is given by the formula:

\(U = (1/2) * C *\) \(V^2\)

where U is the potential energy, C is the capacitance, and V is the voltage across the capacitor.

Initially, both capacitors have the same capacitance and the same charge Q, so their potential energies are equal. Let's call this value U1.

After the second capacitor (C2) is charged and disconnected, it is filled with a dielectric. The presence of the dielectric increases the capacitance of the capacitor, while keeping the charge Q constant. Let's say the capacitance of C2 increases by a factor of k, so its new capacitance is k times the initial capacitance. The voltage across the capacitor will decrease by a factor of k, since the charge Q remains constant.

The potential energy of the second capacitor after it has been filled with the dielectric (let's call this value U2) is:

\(U2 = (1/2) * (kC)\)* \((V/k)^2\)

\(U2 = (1/2) * kC *\)(\(V^2\) / \(k^2\))

\(U2 = (1/2) * C * V^2 * k/2\)

\(U2 = (k/2) * U1\)

So the potential energy of the second capacitor (with the dielectric) is k/2 times the potential energy of the first capacitor (without the dielectric).

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