A grating has 2000 slits/cm/cm. How many full spectral orders can be seen (400 to 700 nmnm) when it is illuminated by white light

Answers

Answer 1

With the use of the formula SinФ = nλ / d, there are 16 spectral orders which can be seen when it is illuminated by white light.

Given that a grating has 2000 slits/cm. That is,

d = 0.01 / 2000

d = 5 x \(10^{-6}\) m

The wavelength λ = (700 - 400) nm

λ = 300 x \(10^{-9}\) m

To calculate how many full spectral orders that can be seen (400 to 700 nm) when it is illuminated by white light, we will use the below formula

SinФ = nλ / d

Φ = \(Sin^{-1}\) (nλ / d)

When n = 1

Φ = \(Sin^{-1}\)(300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )

Φ = 3.4 degrees

when n = 2

Φ = \(Sin^{-1}\)(2 x 300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )

Ф = 6.9 degrees

When n = 3

Ф = \(Sin^{-1}\)(3 x 300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )

When n = 16

Ф = \(Sin^{-1}\)(16 x 300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )

Ф = \(Sin^{-1}\)(0.96)

Ф = 73.7 degrees

when n = 17

Ф = \(Sin^{-1}\)(17 x 300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )

Ф = \(Sin^{-1}\)(1.05)

Ф = Error ( that is, it does not exist)

Therefore, there are 16 spectral orders which can be seen when it is illuminated by white light.

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Related Questions

This table shows experiments done by five scientists.
Hydrochloric acid reacts with sodium hydroxide to form water and sodium chloride. Hydrochloric acid is an extremely acidic, clear, corrosive liquid. Sodium hydroxide is a very basic white solid.

What can be known about the products of this reaction?

They will be clear.
They will not have the properties of sodium hydroxide or hydrochloric acid.
They will be corrosive.
They will have the properties of sodium hydroxide or hydrochloric acid.

Answers

Answer: They will be clear

Explanation:

When hydrochloric acid (HCl) is mixed with sodium hydroxide (NaOH), a neutralization reaction occurs, and the products of the reaction are sodium chloride (NaCl) and water (H2O).

The chemical equation for this reaction is:

HCl + NaOH → NaCl + H2O

Sodium chloride is a salt that is commonly used in cooking and as a de-icing agent, while water is a familiar and essential compound that we use every day.

NaCl and water  can be a clear solution but it is not coorrosive and a new salt is formed thus it does not retain any properties of the initial reactants.

which measurements are used as evidence of the age of the universe?

Answers

Answer:

1. The expansion rate of the universe, often measured using the Hubble Constant.

2. The cooling of the cosmic microwave background radiation.

3. The chemical abundances of light elements like helium and deuterium.

4. The abundance of elements heavier than hydrogen and helium created by stellar nucleosynthesis.

5. The redshift of galaxies and other distant objects.

Explanation:

Some free market economist think that people would lack motivation without monetary incentives .

Answers

It is possible to study the connection between motivation, rewards, and production from a variety of angles, including those of economics, psychology, and physics.

Do incentives exist in a free market system?

Because producers are motivated to satisfy consumer demand, free markets offer a larger variety of commodities than any other system. What is created is under the control of the consumer.

What drawbacks exist in a free market economy?

In theory, free markets work best because supply and demand are efficiently distributed by an invisible hand. Yet, in practise, open markets are prone to manipulation, false information, and imbalances of power and knowledge, which also contribute to wealth disparity.

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How old is an artifact if four half-lives have occurred and the half-live of carbon-14 is 5730 years?

Answers

22920 years old is an artifact if four half-lives have occurred and the half-live of carbon-14 is 5730 years.

Why does carbon-14 have a short half-life?

Due to radioactive decay to nitrogen-14, carbon-14 has a very short half-life of 5,730 years, which means that over this time, the proportion of carbon-14 in a sample will have decreased by 50%.

Why is the term "half-life" used?

A half-life is the amount of time it takes for something to go from 100% to 50%. The phrase is most frequently used in reference to radioactive decay, which happens when energetic atomic particles that are unstable lose momentum.

Briefing:

The half-life of carbon-14 is 5730 years. Accordingly, a sample of 100 carbon-14 atoms has a half-life of 5730 years, or 50 carbon-14 and 50 carbon-12 (i.e., 100 carbon-14, one half-life = 50 carbon-14, 50 carbon-12).

4 half lives

=5730×4

=22,920 years old.

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(science) If an 50 kg object moves at 3 m/s2, what is the object’s force? Use the equation above, show your work, and include units.

Answers

Answer:

\(\displaystyle F = 150 \ N\)

General Formulas and Concepts:

Dynamics

Newton's Second Law of Motion:                                                                       \(\displaystyle \sum F = ma\)

Explanation:

We are given the following variables:

m = 50 kg

a = 3 m/s²

To find the object's force, we use Newton's Second Law of Motion. Plug in your variables into the equation:

F = (50 kg)(3 m/s²)

F = 150 kg · m/s²

F = 150 N

Topic: AP Physics 1 - Algebra Based

Unit: Dynamics

\(\huge\mathfrak{\fcolorbox{aqua}{lime}{Answer}}\)

Given :

\(Mass\:\: is\: \:50\: \:kg \:\)

\(Acceleration\: = \:{3m/s}^{2}\)

while finding force make sure that mass is in (Kg) and acceleration is in (m/s²)

\(Force\:=\:ma\)

\( Force\:=\:50kg\:×\:{3m/s}^{2}\)

\( Force\:=\:150 \:N \)

You check in at the airport and have your luggage weighed. It comes to 25kg. The airport is at sea level and you take off and climb to 30,000 ft. How much less does your luggage now weigh?
mass of earth = 5.98 × 10 ^24

radius of earth = 6.37 × 10^ 6​

Answers

Answer:

0.705 kg less

Explanation:

Altitude at sea level = 0 ft

Altitude after climbing = 30,000 ft = 30,000 x 0.3048 = 9,144 m

Weight = W = mg

Change in weight = ΔW = (M-luggage) × (g-sea level - g-altitude)

g at sea level:

g1 = (Gravitational constant × Mass of the Earth) / (Radius of the Earth)²

g at altitude of 30,000 ft:

g2 = (Gravitational constant × Mass of the Earth) / (Radius of the Earth + Altitude)²

Gravitational constant = 6.674 × 10^-11 m^3 kg^-1 s^-2

g1 = (6.674 × 10^-11 × 5.98 × 10^24) / (6.37 × 10^6)^2

g1 ≈ 9.8358 m/s^2

g2 = (6.674 × 10^-11 × 5.98 × 10^24) / (6.37 × 10^6 + 9,144)^2

g2 ≈ 9.8076 m/s^2

ΔW = (M-luggage) × (g1 - g2)

= 25 kg × (9.8358 - 9.8076)

≈ 0.705 kg

Therefore, your luggage would weigh approximately 0.705 kg less when you climb to 30,000 ft compared to its weight at the airport.

Can't guarantee this is right, but I checked the numbers a few times and this is the best I can do!

An element with 5 protons, 6 neutrons, and 8 electrons has an atomic number of
(2 Points)

Answers

Answer:

I've attached a screenshot of a document from K12 that should give you the answer to your question, and many more question you might have. If this is not helpful please say so in the replies to this answer and I'll try my best to find some more information.

Explanation:

May I have brainliest please? :)

An element with 5 protons, 6 neutrons, and 8 electrons has an atomic number of(2 Points)

how can i plot a graph?​

Answers

Answer:

so you have your boxes go by tens on the x-axis okay which is the one going straight up then the second number goes by 5's is your y-axis. 30,6 so 30 is your x and 6 is your y. start at 0,0 which is the little corner piece. find 30 on x and then go over 6 and that's it!

Explanation:

Cual es la Ecuación de velocidad de una onda en función del índice de la amplitud de una cuerda

Answers

Answer:

Well velocity is the varaible with direction

Explanation:

In your business plan, the target market section should clearly identify_____market(s).
A. Both your primary and secondary
B. primary
C. demographic
D. secondary

Answers

In your business plan, the target market section should clearly identify both your primary and secondary market(s). The market analysis is basically the target market section of your business plan. It is a thorough examination of the ideal people to whom you intend to sell your products or services.

A missile weighing 400N on the earth surface is shot into the atmosphere to an altitude of 6.4 x 106 m. Taking the earth as a sphere of radius 6.4 x 10-6 m and assuming the inverse-square law of universal gravitation, what would be the weight of the missile at that altitude?​

Answers

Answer:

Explanation:

We can use the inverse-square law of universal gravitation to determine the weight of the missile at an altitude of 6.4 x 10^6 m. The law states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Let M be the mass of the Earth and m be the mass of the missile. At the Earth's surface, the weight of the missile is:

F1 = mg

where g is the acceleration due to gravity on the Earth's surface, which we assume to be 9.81 m/s^2.

At an altitude of 6.4 x 10^6 m, the distance between the center of the Earth and the missile is:

r = R + h

where R is the radius of the Earth (6.4 x 10^6 m) and h is the altitude of the missile (6.4 x 10^6 m).

The weight of the missile at this altitude can be calculated using the inverse-square law of universal gravitation:

F2 = G * M * m / r^2

where G is the gravitational constant (6.6743 x 10^-11 N * m^2 / kg^2).

Substituting the given values, we get:

F2 = (6.6743 x 10^-11 N * m^2 / kg^2) * (5.97 x 10^24 kg) * (400 N) / (6.4 x 10^6 m + 6.4 x 10^6 m)^2

F2 = 39.61 N

Therefore, the weight of the missile at an altitude of 6.4 x 10^6 m is approximately 39.61 N.

What is the amount of thermal energy that can be stored in an object depends on?

Answers

Thermal energy is the total energy of all the molecules in an object. The thermal energy of an object depends on three things: 4 the number of molecules in the object 4 the temperature of the object (average molecular motion) 4 the arrangement of the object's molecules (states of matter).

Hope this helps

If you know the answer tell me ASAP thanks

If you know the answer tell me ASAP thanks

Answers

The correct answer is: a non-contact force from a magnet on a magnetic material, which is the second option, as magnetic force refers to the force exerted by a magnet on a magnetic material. It is a non-contact force, meaning it can act on objects without physical contact.

Magnets have two poles, a north pole and a south pole, and they exert forces on other magnets or magnetic materials. Like poles (north-north or south-south) repel each other, while opposite poles (north-south) attract each other. This magnetic force is responsible for various phenomena, such as the attraction and repulsion between magnets, the alignment of magnetic materials, and the operation of magnetic devices like motors and generators.

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Need help for this Asap please ​

Need help for this Asap please

Answers

The coefficient of static friction between the block of wood and the table is 0.449.

How to calculate the friction

The weight of the block of wood is Mg = 4.0 kg × 9.81 m/s^2 = 39.24 N.

The coefficient of static friction μs is given by the equation μ_s = fs/N, where N is the normal force from the table.

Since the block is not accelerating vertically, we know that N = Mg, so we have:

μs = fs/N = 17.64 N / 39.24 N = 0.449

Therefore, the coefficient of static friction between the block of wood and the table is 0.449.

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Thallium-201 is a radioisotope used in brain scans. If the recommended dose is 3.0 mCi and a vial contains 60. mCi in 50. mL , how many milliliters should be injected?

Answers

2.5 mL of Thallium-201 should be injected to administer a recommended dose of 3.0 mCi.

Thallium-201 is a radioisotope that is used in brain scans to detect brain cancer. It is used in nuclear medicine as a radiopharmaceutical. The recommended dose for Thallium-201 is 3.0 mCi. If a vial of Thallium-201 contains 60. mCi in 50. mL, we can determine the number of milliliters that should be injected by using proportionality.A proportion can be used to compare two ratios and solve for an unknown value. For example, if x is the unknown value we are trying to solve for and a/b and c/d are two ratios that are equal, we can write a proportion:

a/b = c/d.

Cross-multiplying gives us the equation

ad = bc.

This formula can be used to solve for the unknown value x. For this problem, we can use a proportion to solve for the number of milliliters that should be injected. Let x be the number of milliliters that should be injected. Then we have the following ratio:

3.0 mCi / x mL = 60. mCi / 50. mL

To solve for x, we can cross-multiply:

3.0 mCi * 50. mL = 60. mCi * x mL150. mCi mL = 60. mCi x mCx = (150. mCi mL) / (60. mCi) x = 2.5 mL

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A first year student projected a farm business brochure to a farmer at 30 degrees to horizontal. calculate the maximum height attained by the projectile if it was launched at 400m/s​

Answers

Answer:

Maximum height = 2040 m

Explanation:

We can solve the problem using kinematics.

Consider the vertical motion of the object and use the equation:

\(\boxed{v^2 = u^2 + 2as}\)

where:

v = final velocity      (0 m/s, because when the object is at max. height, it has no vertical velocity)

u = initial velocity    (400sin30° m/s ⇒ vertical component of 400 m/s at 30° to horizontal)

a = acceleration      (-9.81 m/s²; considering upward acceleration to be negative)

s = displacement    (? m; this represents the max. height of the object),

Substitute the values into the equation and solve for s :

\(0^2 = (400 sin (30 \textdegree))^2 + 2(-9.81)(s)\)

⇒ \(2(9.81)(s) = (400 sin (30 \textdegree))^2\)

⇒  \(s = 2040 \space\ m\)     (3 s.f.)

Q 1-1 Marks If a car moved one full circular track of 15 Km, which sentence describes its motion?​

Answers

The sentence that best describes the motion is "the motion is a circular motion and has completed one revolution".

Question: "If a car moved one full circular track of 15 Km, which sentence describes its motion?​"

What is a circular motion?

An object moves in a circle at a constant speed in a motion known as uniform circular motion. Any point on a propeller, for instance, that is spinning continuously, is moving uniformly in circles.

There are two types of circular motion: uniform and non-uniform.

Circular motion can be seen in the orbit of a satellite, ice skaters moving at a constant speed in a circle, and vehicles traveling in a circle.

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Estimate the average power of a water wave when it hits the chest of an adult standing in the water at the seashore. Assume that the amplitude of the wave is 0.56 m , the wavelength is 2.0 m , and the period is 3.4 s . Assume that the area of the chest is 0.14 m^2.

Answers

Answer:

\(P=45.2W\)

Explanation:

From the question we are told that:

Amplitude \(A=0.56m\)

Period \(T=3.4s\)

Wavelength \(\lambda=2.0\)

Area \(a=0.14m^2\)

Generally the equation for Power is mathematically given by

\(Power = 2 \pi ^2 \rho a(\frac{\lambda}{T})(\frac{1}{T})*A\)

\(P= 2 3.142^2 1025 0.14(\frac{2.0}{3.4})(\frac{1}{3.4})^2*0.56^2\)

\(P=45.2W\)

Electric current in electric bulb is 20 mA, what is the charge flowing through the filament in 4 sec

Answers

Answer:

The charge flowing through the filament is 0.08C

Explanation:

\(I=20mA = 0.02A\\t= 4s\\\)

Plug your given values into the charge and current formula:

\(I=\frac{Q}{t} \\Q=I*t\\Q= (0.02A)(4s)\\Q= 0.08C\)

A ball is dropped off a building and falls past a window that is 2.2m long. If it takes .28s for the ball to cross the window what is the distance from the top of the building to the top of the window?

A ball is dropped off a building and falls past a window that is 2.2m long. If it takes .28s for the

Answers

0.616 is the distance from the top
of the building to the top of the window.

A bus in traffic increases its speed from 10km/hr to 23km/hr in 2 minutes. What is the average acceleration of the bus?

Answers

The average acceleration of the bus is −6.00 m/s².

What is average acceleration?The definition of average acceleration is the change in velocity per unit of time. Acceleration is measured in squared time-distance units. The word "average" is interpreted as a symbol with a bar over it, therefore "a-bar" stands for average acceleration. Calculating Average Acceleration: The change in velocity is calculated by dividing the end velocity by the initial velocity, then multiplying the result by the change in time. This result is known as the average acceleration (a). a = v t = v f v I t. How quickly an object is travelling in a specific direction is determined by its velocity. In the formula -a=vt=vfv0tft0, where an is average acceleration, v is velocity, and t is time, the average acceleration is the rate at which velocity changes.

a = ? ; Δt = 1.50 s ; v1 = 9.00 m/s ; v2 = 0.00m/s

The formula to use in this case is the definition of acceleration stating that the acceleration a = Δv / Δt or a = (v2- v1) / Δt where v2 is the final velocity and v1 is the initial velocity.

Solving for the acceleration a

a = (v2- v1) / Δt

a = (0 - 9.00 m/s) / 1.50 s

a = - 9.00 m/s / 1.50 s

a = −6.00 m/s^2

The average acceleration of the bus is −6.00 m/s^2.

The complete question is,
When a bus comes to a sudden stop to avoid hitting a dog, it slows from 9.00 m/s to 0.00m/s in 1.50 seconds. What is the average acceleration of the bus?

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Introduce CT scan and explain its working mechanism. ​

Answers

CT scans can produce detailed images of many structures inside the body, including the internal organs, blood vessels and bones. They can be used to: diagnose conditions including damage to bones, injuries to internal organs, problems with blood flow, stroke, and cancer.

a) A bus of mass 760 kg requires 120 m to reach certain velocity value Vf. Ignore friction and drag forces and assume the bus engine exerts a constant forward force F. When the bus is towing a 330-kg small car, how long distance needed to reach same Vf? b) If the Vf of the bus is 28 m/s, what is the tension in the tow cable between bus and small car?

Answers

Answer:

Given :  A bus of mass 760 kg requires 120 m to reach certain velocity value Vf.

the bus engine exerts a constant forward force F.

To Find : When the bus is towing a 330-kg small car, how long distance needed to reach same Vf?

Solution:

V²  - U² = 2aS

V = Vf

U = 0

S = 120 m

=> Vf² - 0 = 2a(120)

=> Vf² = 240a

m = 760  kg

Force = F

F = ma

=> F =760 a

=> a = F/760

Vf² = 240F/760

Case 2  :When the bus is towing a 330-kg small car,

m = 760 + 330 = 1090 kg

a = F/1090

Vf²  = 2aS

=> 240F/760  = 2 (F/1090) S

=> S = 120 x 1090 /760

=> S = 172.1   m  

172.1   m   distance needed to reach same Vf

Explanation:

Sarah took 204 seconds to bicycle to their grandmother's house, a total of
430 meters. What was their velocity in m/s?

Answers

Answer:

2.1m/s towards your grandmother's house

Explanation:

Given parameters:

Time taken  = 204s

Distance  = 430m

Unknown:

Velocity  = ?

Solution:

The velocity is determined by:

    Velocity  = \(\frac{displacement}{time}\)  

   Velocity  = \(\frac{430}{204}\)   = 2.1m/s towards your grandmother's house

what is the force of a body which have mass of 7 kg​

Answers

Answer:

Force acting on a body of mass 7 kg which produces an accceleration of 10 m/s2 is 70 N

Answer:

10 m/s2 or 70 newtons.

Explanation:

............................

............

A car does 100 laps on a circular track of length 10 km. The distance and displacement for the car are

Answers

ANSWER

\(\begin{gathered} Dis\tan ce=1000\operatorname{km} \\ Displacement=0\operatorname{km} \end{gathered}\)

EXPLANATION

The distance for the car is the total space between the start of the journey and the end i. e. the amount of space the car covers in its 100 laps.

Therefore, the car's distance is:

\(\begin{gathered} 10\cdot100 \\ \Rightarrow1000\operatorname{km} \end{gathered}\)

The displacement of the car is the measure of change in the position of the car.

Since the car returns to its starting position after 100 laps, there is no change from the original position of the car, hence , its displacement is:

\(0\operatorname{km}\)

Cesar and Jill went to a field to play soccer. As the ball downward toward Jill, Jill used her foot to kick the ball and keep it in play. Cesar realized he could apply scientific principles to a soccer game. Which of the following best describes the scientific principle that Cesar observes as Jill kicks the ball?

A. An unbalanced force has no effect on the ball.
B. Gravity on the ball is equal to the force of friction.
C. A net force of zero changes the direction of the ball.
D. Unbalanced forces change the ball’s speed and the direction of motion.

Answers

Answer:

D

Explanation:

You are pushing an 80.0 N wheelbarrow as shown in (Figure 1). You lift upward on the handle of the wheelbarrow so that the only point of contact between the wheelbarrow and the ground is at the front wheel. Assume the distances are as shown in the figure, where 0.50 m is the horizontal distance from the center of the wheel to the center of gravity of the wheelbarrow. The center of gravity of the dirt in the wheelbarrow is assumed to also be a horizontal distance of 0.50 m from the center of the wheel. Suppose that the maximum total upward force that you can apply to the wheelbarrow handles is 75 lb.

You are pushing an 80.0 N wheelbarrow as shown in (Figure 1). You lift upward on the handle of the wheelbarrow

Answers

Answer:

Wl = 1740 N

Explanation:

maximum lift weight unaided = force exerted (F) = 650 N

length of the wheelbarrow (L) = 1.4 m

weight of the wheelbarrow (w) = 80 N

distance of center of gravity of the wheel barrow from the wheel = 0.5 m

distance of center of gravity of the load from the wheel = 0.5 m

find the weight of the load (Wl)

from the diagram attached we can see that there is going to be a rotation about the axis A. let clockwise rotation be positive

ΣT = (F x 1.4) - ((Wl x 0.5) + (w x 0.5) = 0

(F x 1.4) = ((Wl x 0.5) + (w x 0.5)

Wl =

Wl =

Wl = 1740 N

A wave with a frequency of 17 Hz has a wavelength of 5 meters. At what speed will this wave travel?

Answers

Answer:

85

Explanation:

soln

given that;

frequency=17Hz

wavelength=5m

speed?

formula for wavelength is;

wavelength= speed/frequency

then ; making v the subject formula

we have that v=wavelength*frequency

v=17*5=>85ms

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The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons

Answers

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

Why the electron number cannot be used instead?

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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