Light with a wavelength of about 490 nm is made to pass through a diffraction grating. the angle formed between the path of the incident light and the diffracted light is 9.2° and forms a first-order bright band. what is the number of lines per mm in the diffraction grating? round your answer to the nearest whole number. lines per mm

Answers

Answer 1

The number of lines per mm in the diffraction grating is 326.

What is diffraction grating?

A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.

The given data in the problem is

[tex]\rm \theta[/tex] is the angle formed between the path of the incident light and the diffracted light = 9. 2°

λ is the wavelength of the light=490nm=4.9

N is the number of lines per mm in the diffraction grating=?

n is ordered = 1

The formula for the diffraction grating is;

[tex]n \lambda = d sin\theta \\\\ d = \frac{n \lambda}{sin \theta } \\\\ d = \frac{1 \times 4.90 \times 10^{-7}}{sin 9.2^0 } \\\\ d=3.06 \times 10^{-6} \\\\ d=3.06 \times 10^{-3} \ mm[/tex]

The number of lines per mm is found as;

[tex]\rm N= \frac{1}{d} \\\\ N= \frac{1}{3.06 \TIMES 10^{-3}} \\\\ N=326.8 /mm[/tex]

Hence the number of lines per mm in the diffraction grating is 326.

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Related Questions

How much required force is required to move a 100kg box to get it moving? Static friction is 0.5, kinetic friction is 0.3 and gravity is 9.5m/s^2

Answers

Answer:

47.5 N

Explanation:

Given

mass, m = 100 kgcoefficient of static friction, μ(s) = 0.5coefficient of kinetic friction, μ(k) = 0.3gravity due to acceleration, g = 9.5 m/s²

Solving

It asks the required force to get it moving ⇒ static frictionForce required to move = μ(s) x m x gF = 0.5 x 100 x 9.5F = 95 x 0.5 = 47.5 N
The answer is 47.5N ….

The diagram shows the water levels inside the containers.
A)91 cm
B) 34 cm ( the water levels)
•) The density of water is 1000 kg/m²
ii) Calculate the pressure that the water causes at the base of container A.​

Answers

Answer:

8927.1 Pa

Explanation:

pressure = height x density of liquid x g

               = (91/100) x 1000 x 9.81

               = 8927.1 Pa

Please help me with the blanks

Answers

Answer:

wavelength and frequency

Explanation:

wavelength is the distance between waves while frequency is the number of times in which the wave occurs.

What do you mean by electromagnetic induction?​

Answers

Question : -

What do you mean by electromagnetic induction ?

Well Explained Answer : -

Discovery : -

A British scientist Michael Faraday and an American scientist Joseph Henry discovered the phenomenon of electromagnetic induction in 1831 independently.

Definition / Meaning : -

The production of electricity from magnetism is called electromagnetic induction.

Or ,

Electromagnetic induction is the phenomenon of the production of an induced current in a coil placed in a region where the magnet field changes with time

For Example : -

(i) If a bar magnet is moved in and out of coil of wire , even then an electric current is produced. This is an example of electromagnetic induction.

(ii) Another example , when a straight wire is moved up and down rapidly between the two poles of a horseshoe magnet , then an electric current is produced in the wire. This is also an example of electromagnetic induction .

#[tex] \rm{ \bold{Keep \: Learning}}[/tex]

Electromagnetic induction denotes to producing electricity using magnetic field or magnetism.

This is the process or phenomenon of production of induced induced current in a region where magnetism changes with respect to the time.

It was discovered by great scientist Michael Faraday.

1. Dylan claims that the vase would achieve a higher height if it were launched at a 45-degree angle. Is

Dylan correct?

A. Dylan is correct because a 45-degree launch angle results in the largest vertical range.

B. Dylan is correct because larger launch angles result in a smaller vertical range.

C. Dylan is incorrect because a 90-degree and 45-degree larr

tin the same vertical

range.

D. Dylan is incorrect because a 90-degree launch angle resuh

vertical range

Answers

Answer:
B
Explanation:

That seems like the best bet

A flywheel is rotating with an angular velocity of 1.4 rad/s and is acted on by an acceleration of 0.6 rad/s².

a) What angular velocity will it have attained after three complete turns?

b) How long will it take to do those three turns?

Answers

(a) The final angular velocity of the flywheel after 3 complete revolutions is 4.96 rad/s.

(b) The time taken for the flywheel to make 3 complete revolutions is 5.93 s.

Final angular velocity

The final angular velocity of the flywheel after 3 complete revolutions is determined by applying third kinematic equation as shown below;

θ = 2π (rad/rev) x (3 rev) = 18.85 rad

ωf² = ωi² + 2αθ

ωf² = (1.4)² + 2(0.6)(18.85)

ωf² = 24.58

ωf = √24.58

ωf = 4.96 rad/s

Time of motion

The time taken for the flywheel to make 3 complete revolutions is calculated as follows;

ωf = ωi + αt

t = (ωf  - ωi)/α

t = (4.96 - 1.4)/0.6

t = 5.93 s

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What was the first car fitted with an alternator, rather than a direct current dynamo?.

Answers

Answer:

The first vehicles fitted with an alternator was vehicles during WWll.

Chrysler Corporation fitted an alternator on the Valiant 1960 as standard equipment

Explanation:

Answer:

The first car fitted with an alternator, rather than a direct current dynamo was the 1960 Plymouth Valiant.

Fluorescence occurs when an object absorbs ____________________ and immediately releases the energy as visible light.

Answers

Answer:

The answer should be light or other electromagnetic radiation

Explanation:

Such as x-rays or other things like that.

-Hope This Helps!

-Justin:)

Adaptations are unique traits developed by organisms to help them survive, thrive, and reproduce in their particular environment. Adaptations may be structural or behavioral. Which of the following is an example of a behavioral adaptation?

A) shallow roots of cacti

B) long neck of a giraffe

C) migration of birds

D) webbed feet of ducks

Answers

Answer:

its c - the migration of birds

Explanation:

i did it on study island

Which sound frequency could a human detect? 1 hertz 10 hertz 50 hertz 50,000 hertz.

Answers

Answer:

Good human ears can detect sound from about 50 Hz to about 20,000Hz (20 kHz); this can be called the audible range of frequencies.

so c.50 hertz

Explanation:

Hope it helps :)

Answer:

50 hertz

Explanation:

This is right

1) anything that has mass and takes up space is called
A. Tissues
B. Mass
C. Matter
D. Atomic number
E. Weight

2) mechanical energy is
A. Found in machinery only
B. Usually measured at the atomic level
C. The sum of the chemical and thermal energy of an object
D. The sum of the kinetic and potential energy of an object
( please answer it guys i really bad at my physics TnT))

Answers

1) Matter
2) The sum of the kitenic and potential energy of an object

Not sure about the second one but hope this helps

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

Anything that has mass and takes up space is :-

[tex]\pink{\boxed{\sf{↪Option.c↩}}}[/tex]

→Matter✓

mechanical energy is

[tex]\pink{\boxed{\sf{↪Option.d↩}}}[/tex]

→The sum of the kinetic and potential energy of an object✓

___________________☃️

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

The emf of a battery is E = 20 V . When the
battery delivers a current of 0.2 A to a load,
the potential difference between the terminals
of the battery is 18 V volts.
Find the internal resistance of the battery.
Answer in units of Ω.

Answers

Answer:

10 ohms

Explanation:

V = IR

2 v is the drop in the battery

2 = .2 R

R = 10 ohms

How much work can a 1000-watt motor do in 5.0 seconds?

A. 4.0 × 101 J

B. 2.0 × 102 J

C. 5.0 × 103 J

D. 2.5 × 104 J

Answers

Answer:

C

Explanation:

watt = j/sec     and work  = j    

so multiply   watt * sec to get  work

1000 j/sec  *  5 sec = 5000 j  = 5 x 10^3

The batteries of some flashlights can be charged by turning a handle. Which energy transformation is happening in this process

Answers

The energy transformation that is happening in this process is mechanical energy to chemical energy.

Energy Conversion

According to conservation of energy, energy can not be distroyed and cannot be created, but can only be transformed from one form to another.

The batteries of some flashlights can be charged by turning a handle. The energy transformation that is happening in this process is mechanical energy to chemical energy. The chemical energy will transform to electrical energy which will eventually transform to light energy.

The turning of the handle is mechanical and the energy in battery is chemical.

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1. 50 W and 100 W lamps are designed for the same voltage. Which lamp has the higher filament resistance and why?
2. At a voltage of 4 V, 300 mA flows through the bulb. What is the work done by the electric current in 5 min?
3. The label on the lamp says 100 W, 220 V. Calculate the resistance of the lamp?
4. What is the work done by the motor of a floor polisher in 25 min with a voltage of 220 V, a current rating of 1,25 A and a motor efficiency of 80%?
help

Answers

Answer:

Look below.

Explanation:

1.) The resistance of a light bulb filament is effected by both length and cross-sectional area. Thicker wires have less resistance. A 120-Watt bulb has a greater current and a smaller resistance. Thus, a 120-Watt bulb must have a thicker filament than a 60-Watt bulb (assuming the lengths of the filaments are identical). We also think of lightbulbs in terms of their power ratings in watts. Let us compare a 25-W bulb with a 60-W bulb. Since both operate on the same voltage, the 60-W bulb must draw more current to have a greater power rating. Thus the 60-W bulb’s resistance must be lower than that of a 25-W bulb. If we increase voltage, we also increase power. For example, when a 25-W bulb that is designed to operate on 120 V is connected to 240 V, it briefly glows very brightly and then burns out. Precisely how are voltage, current, and resistance related to electric power?

2.) Energy transferred = 120 × 2 = 240 J. This equation can be rearranged to V = E ÷ Q. So voltage is energy transferred divided by charge.

3.) Power= Voltage × Current

4.) W=Pt

The velocity as a function of time of a moving particle is given by v = α+ βt2 , where α and β are constants and t is time in s. What is the acceleration of the particle at 3 s?​

Answers

The acceleration of the particle at 3s is [tex]a = 6 \beta [/tex]

[tex]v = \alpha + \beta {t}^{2} [/tex]

How to calculate acceleration

[tex]a = \frac{dv}{dt} \\ v = \alpha + \beta {t}^{2} \\ \frac{dv}{dt} = 0 + 2 \beta t \\ [/tex]

if Time is given as 3s

therefore, Acceleration is

[tex]a = 2 \beta t \\ a = 2 \beta 3 \\ a = 2 \times \beta \times 3 \\ a = 6 \beta [/tex]

Acceleration is

[tex]a = 6 \beta [/tex]

What is acceleration and velocity?

This is the change in velocity with respect to time.

Velocity is a vector quantity that denotes the rate of change of position with respect to time, or a speed with the directional component.

Read more about velocity:

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Copper (II) chloride reacts with magnesium nitride

Answers

Answer:

I don't know

Explanation:

because I'm not smart

How many Watts of power does a model rocket engine have if it does 66 J of work on a model rocket in 0.9 seconds?​

Answers

Power developed by a model rocket engine will be 73.3 watts. Power is the ratio of the work done or the enrgy to the time period.

What is the power output?

The rate of the work done is called the power output. It is denoted by P.Its unit of a watt.

The given data in the problem is;

E is the energy = 66 J

P is the power output =?

t is the time period = 0.9 sec

The power output is given as;

[tex]\rm P = \frac{E}{t} \\\\ \rm P = \frac{66}{0.9} \\\\ \rm P = 73.3 \ watt[/tex]

Hence power developed by a model rocket engine will be 73.3 watts.

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PLEASE SOMEONE HELP!! what is the answer? WILL MARK BRAINLIEST!!

Answers

Answer:

A.

Explanation:

The answer should be A.


i apologize if it is incorrect-

I hope it helps! Have a great day!

Anygays-

If we say that a galaxy has a lookback time of 1 billion years, we mean that _________.

Answers

Answer:

its light traveled through space for 1 billion years to reach us

Explanation:

Please Help Physics!


1. Sound travels through a guitar string at 600 m/s, making a sound wave in the air with a speed of 333 m/s. In 1–2 sentences, explain how the wavelength and frequency of the wave in the string compare to the wavelength and frequency of the wave in the air.

Answers

The wavelength and frequency of the sound in the string is greater than the wavelength and frequency of the sound in the air.

Wavelength and freqeuncy of the sound

The wavelength and frequency of the sound is determined using the following formulas.

v = fλ

f = v/λ

λ = v/f

where;

f is the frequency of the soundλ is the wavelengthWavelength and frequency of the sound in the string

f = 600/λ

λ = 600/f

Wavelength and frequency of the sound in air

f = 333/λ

λ = 333/f

Thus, the wavelength and frequency of the sound in the string is greater than the wavelength and frequency of the sound in the air.

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An inductor produces a back emf in a dc series rl circuit when a switch connecting the battery to the circuit is closed. We can explain this by.

Answers

Hi there!

Let's say that a series RL circuit is constructed, with the switch left open.

When the switch is closed, a current will start flowing in the circuit. The INCREASING current will go through the loops of the inductor, producing an INCREASING magnetic field and consequentially a magnetic flux through the inductor. (Use hand rules).

However, the inductor does NOT want to experience this increasing magnetic flux, so an emf in the OPPOSITE direction of the current will be produced to counteract the increasing flux. (The flux would also be in the opposite direction).

This is expressed with the equation:


[tex]\epsilon = -L \frac{di}{dt}[/tex]

ε = Back emf (V)
L = Inductance (H)

i = Current (A)
t = time (s)

With the negative sign, we can see that if the current of the circuit is INCREASING, the emf produced would be in the opposite direction.

Which planet, other than earth, has visible water ice on it?.

Answers

Mercury has viable water and ice on it

Explain How can an endergonic reaction not be endothermic?

Answers

Answer:

Answer below in pic

I hope my answer helps you.

Answer:

I totally agree with what the person above me said.It is correct

What holds the moon in place, orbiting around earth?

Answers

Answer:

Gravity

Explanation:

Answer:Gravitational force

Explanation: According to Newton's law of universal gravitation, two massive celestial bodies in space attract each other. This Force of attraction set the moon in motion.

Matter can undergo chemical reactions and nuclear reactions. Which
property is conserved in chemical reactions but NOT in nuclear reactions?
O A. Type of energy
O B. Kinds of compounds
O c. Number of atoms
O D. State of matter

Answers

State of matter is conserved in chemical reactions but not in nuclear reactions.

What is not conserved in a nuclear reaction?

In a nuclear reaction, mass is not conserved because of the release of radiation. The difference in masses of reactants and product nuclei, occurs due to release of energy.

So we can conclude that State of matter is conserved in chemical reactions but not in nuclear reactions.

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Nuclear and chemical processes are both possible in the matter. In chemical processes, the property of no atoms is conserved, but not in nuclear reactions. Option C is correct.

What is nuclear fusion?

The process by which two or more tiny nuclei unite to generate a bigger nucleus is known as a nuclear fusion reaction.

The more energy it takes to liberate an electron from a smaller atom. This is referred to as binding energy.

In the nuclear reaction, one atom gets disassociated with the other atom. The process is known as nuclear fission.

Nuclear and chemical processes are both possible in the matter. In chemical processes, the property of no atoms is conserved, but not in nuclear reactions.

Hence, option C is correct.

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a roller coaster of mass 2000kg is rolling down a track with an instantaneous speed of 10m/s

Answers

The given is:

The given is:Mass – 2000 kg

The given is:Mass – 2000 kgInstantaneous speed – 10 meter per second

Step: 1

Step: 1K.E= 1/2mv^2

Where, K.E – Kinetic energy in joules:

m – Mass in kg

  v – Velocity or speed in meter per second

Step: 2

From the give,

m = 2000 kg

v = 10 m/s

Equation (1) becomes,

K.E= 1/2 (2000) (10)^2

= (0.5)(2000)(100)

= 100000

K.E = 100,000 Joules

The kinetic energy is 100,000 Joules, if a roller coaster of mass 2000 kg is rolling down a track with an instantaneous speed 10 m/s.

A spaceship moves at a constant velocity of 0.400c relative to an Earth observer. The pilot of the spaceship is holding a rod, which he measures to be 1.00 m long. The rod is held perpendicular to the direction of motion of the spaceship. How long is the rod according to the Earth observer

Answers

Since the rod is held perpendicular to the direction of motion of the spaceship, the rod is 1.00 m long to an Earth observer.

To answer the question, we use the principle of length contraction in relativity.

What is Length contraction?

The principle of length contraction states that the length of an object would only contraction when it is in the direction of motion.

So, since the 1.00 m long rod is in the spaceship is held perpendicular to the direction of motion of the spaceship, there is no length contraction and thus, an observer on the Earth measures the same length of 1.00 m.

So, Since the rod is held perpendicular to the direction of motion of the spaceship, the rod is 1.00 m long to an Earth observer.

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Find the ( mass m ) when system is equilibrium help me pleasee this choice is
1. 4 kg
2. 6.25 kg
3. 10 kg
4. 12.5 kg
5. 25 kg
please show solution ​

Answers

Answer:

5. 25 [kg].

Explanation:

1) the final ratio is:

m_20kg *g=m*g/cos37°; ⇒ m= m_20kg / cos37°;

2) answer is:

m=20/0.8=25 [kg].

Which condition is necessary for a lunar eclipse to occur?.

Answers

For a lunar eclipse to occur, the Sun, Earth, and Moon must be roughly aligned in a line. Otherwise, the Earth cannot cast a shadow on the Moon's surface and an eclipse cannot take place. When the Sun, Earth, and Moon come together in a straight line, a total lunar eclipse takes

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