A tellurium-sapphire laser can produce light at wavelength of 800 nm in ultrashort pulses that last only 4.00x10-15s (4.00 femtoseconds, or 4.00 fs). The energy in a single pulse produced by one such laser is 2.00 μJ = 2.00x10-6 J, and the pulses propagate in the positive x-direction. Find a) the frequency of the light; b) the energy and minimum energy uncertainty of a single photon in the pulse

Answers

Answer 1

The speed of light and the propagation of errors allows to find the results on the questions of the radiation emitted by the laser are:

    a) The frequency is: f = 3.7 10¹⁴ Hz

    b) The energy with its uncertainty is: E = (2.465 ± 0.004) 10⁻¹⁹ J

a) The speed of a wave is related to its wavelength and frequency.

           c = λ f

           [tex]f = \frac{c}{\lambda}[/tex]

Where c is the speed of light, λ the wavelength and f the frequency.

They indicate that the wavelength is λ = 800 nm = 800 10⁻⁹ m, the speed of light is a constant c = 2.99 10⁸ m/s.

         f = [tex]\frac{2.99 \ 10^8}{800 \ 10^{-9}}[/tex]  

         F = 3.7 10¹⁴ Hz

b) Planck's equation states that the energy is proportional to the frequency of the radiation.

         E = h f

Where E is the energy, h the Planck constant and f the frequency.

         E = 6.63 10⁻³⁴  3.7 10¹⁴

         E = 2.46467 10⁻¹⁹ J

The uncertainty or error is the fluctuation that a magnitude may have due to the precision in the measurements, when the magnitude is calculated by some formula, the propagation of these uncertainties must be carried out.

         

        Δm = ∑   [tex]\sum \frac{dm}{dx_i} | \Delta x_I|[/tex]  

the expression for energy is:

        E = [tex]\frac{hc}{\lambda }[/tex]  

        [tex]\Delta E = \frac{dE}{d \lambda} |D\lambda |[/tex]  

        [tex]\Delta E = \frac{h c }{\lambda^2 } |\Delta \lambda |[/tex]

When the error in the measured magnitude is not explicitly indicated, we assume that the error is in the last digit written, therefore

         Δλ = ± 1 nm = ± 1 10⁻⁹ m

We calculate.

        [tex]\Delta E = \frac{6.63 \ 10^{-34} \ 2.99 \ 10^8 }{(800 \ 10^{-9})^2} 1 \ 10^{-9}[/tex]  

        ΔE = 3.1 10⁻²² J

the error is given with a significant figure.

        ΔE = 3 10⁻²² J = 0.004 10⁻¹⁹ J

The result of the energy is:

        E = (2.465 ± 0.004) 10⁻¹⁹ J

In conclusion, using the speed of light and the propagation of errors, we can find the results on the questions of the radiation emitted by the laser are:

    a) The frequency is; f = 3.7 1014 Hz

    b) The energy with its uncertainty is: E = (2.465 ± 0.004) 10⁻¹⁹ J

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Related Questions

A taxi is travelling at 20 m/s. Its driver accelerates with acceleration 5 m/s2 for 4 s. What is its new velocity?​

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

RIGHT ANSWER I WILL GIVE BRAINLYSIT

Which statement best describes the role of carbon dioxide in photosynthesis?
O A. Plants break down molecules of carbon dioxide to make oxygen
molecules.
B. Plants make carbon dioxide molecules as they break down
chlorophyll.
C. Plants release carbon dioxide molecules when sunlight shines on
their leaves.
D. Plants use molecules of carbon dioxide to make sugar molecules.

Answers

Answer:

The answer is...

D ( Plants use molecules of carbon dioxide to make sugar molecules.)

Explanation:

During photosynthesis, plants take in carbon dioxide (CO2) and water (H2O) from the air and soil. This transforms the water into oxygen and the carbon dioxide into glucose. The plant then releases the oxygen back into the air, and stores energy within the glucose molecules. During the process of photosynthesis, cells use carbon dioxide and energy from the Sun to make sugar molecules and oxygen. These sugar molecules are the basis for more complex molecules made by the photosynthetic cell, such as glucose.

Have an awesome day friend! <3

In at least 150 words, describe at least three things that occur naturally everyday and how science has had an impact on what we think or do about them.


its a physical science project paper.

Answers

Answer:

Explanation:

The three things that occur naturally everyday and how science has had an impact on what we think or do about them is

Photosynthesis is a process in which green plants manufacture there own food in the presence of sunlight through the equation below

6CO₂ + 6H₂O ⇒ C₆H₁₂O₆ + 6O₂

From the equation above, it can be seen that aside from the food (C₆H₁₂O₆) produced by green plants during photosynthesis, science has assisted us in knowing that these green plants take-up the carbon dioxide (CO₂) that is exhaled by humans and release the oxygen (O₂) that is inhaled by humans thereby purifying the air of the surrounding they are found. This concept has made man understand the importance of planting in residential areas.

Depletion of the Ozone layer; the ozone layer is a layer in the earth stratosphere which shields the earth from direct sunlight/rays. Over the years, the burning of hydrocarbon on earth has caused the depletion of this layer thereby exposing the earth to more direct sunlight from the sun. Science has had an impact in the thinking of man in this regard by making us more conscious of the risk of burning these hydrocarbons which has led to the collective efforts by governments across the world to minimize the burning of these substances.

Rain; rain are droplets of water that fall from the atmosphere. Rain formation occurs when water (in the form of ocean, river and/or seas) are evaporated into the atmosphere as a result of heat from the sun. These evaporated water molecule rises and cools down to form and form a cloud It is then returned to earth in the form of rain. This explanation changes the mythical understanding of rain in different culture

Please mark me Brainliest.

Calculate the force applied if 100 N/m² pressure is exerted over the area of 0.2m²​

Answers

Answer: 100 pascals times 0.2 m^2= 20 N force is applied.

Explanation:

Do we grow taller when we hang on a branch for 1 min?

Answers

Answer:

Temporarily yes, if you are speaking of a skeletally mature person, taking pressure off of joints will allow them to absorb more fluid and thus be a larger diameter. If that expansion is in a vertical direction then you would in fact be taller until the fluid was returned to outside of the joint.

The person above is 100% correct lol

what is the relationship of physics and technology ​

Answers

Answer:

Physics explains and describes natural phenomena. It tells us how different parts of nature work and react to different situations. Technology helps us solve problems and complete tasks by using the world around us.

It is observed that technology gives rise to new physics and at other times physics generates new technology. Physics Generating New Technology: Newton's law of motion helped in the development of rockets.

Explanation:

Hope this helps you! :)

Energy a substance or system has because of its motion Is what?

light energy
chemical energy
sound energy
electrical energy
thermal energy
mechanical energy

Answers

Answer:

Mechanical energy is the energy a substance or system has because of its motion. For example machines use mechanical energy to do work.


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Help ! FBD (free body diagram) required

Select all correct choices ~

Thanks for Answering ! have a great day ~

Answers

[tex] \huge \bf༆ Answer ༄[/tex]

According to the given question,

Normal reaction = mg Cos 37° + ma Cos 53°

here,

m = mass of the block = 1 kg

a = Acceleration of wedge = 5 m/s²

g = Acceleration due to gravity = 10 m/s²

Calculation : -

[tex] \sf \: mg \cos(37) + ma \cos(53) [/tex]

[tex] \sf \: \bigg(1 \times 10 \times \dfrac{4}{5} \bigg) + \bigg( 1 \times 5 \times \dfrac{3}{5} \bigg)[/tex]

[tex] \sf(2 \times 4) + (1 \times 3)[/tex]

[tex] \sf8 + 3[/tex]

[tex] \sf11 \: N[/tex]

The Correct choice is C

[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]

Which of the following is a force?
1) inertia
2) friction
3) acceleration
4) velocity

Answers

Hi there!

[tex]\large\boxed{\text{Friction.}}[/tex]

We can go through each:

1) Inertia is NOT a force. Inertia is defined as an object's resistance to motion, or its mass.

2) Friction IS a force because it results in acceleration.

3) Acceleration is not a force, but rather a product of force.

4) Velocity is simply a quantity that can be changed as a result of a force.

Plzzzz help meeeeee plzzz

Answers

hun I wish I can help you but I have the same problem here!! sorry

Find the volume occupied by 0.060 moles of CO2 at rtp

Answers

Answer:

At STP,

1 mole of oxygen occupies 22.4litres.

∴ 0.1 mole of oxygen will occupy = 0.1 × 22.4

= 2.24 litres.

Thus, the volume occupied by 0.1 moles of CO

2

at STP is 2.24 L

A car is moving at a speed of 72 km / h on a horizontal section. What is the braking distance of the car if the friction force is equal to the size of the weight of the car? (20 m) (+ formula)

Answers

Answer:

20.4m

Explanation:

72kmhr(1000mkm)(hr3600sec)=20ms  

Use principles of conservation of energy.

The initial kinetic energy of the car is equal to the work done by friction during braking:

KE=Wfric  

12mv2=(Ffric)d  

but the force of friction = weight of the car = mg

12mv2=mgd  

mass cancels in both terms, which tells us the answer is independent of mass

12v2=gd  

12202=(9.81)d  

d=20.4m  

Note that the correct answer should actually be 20. m with only 2 significant figure accuracy since 72 km/hr only has 2 sig fig accuracy.

ASAP
A train is travelling at 100 m/s when it receives an alert: “Brake! 600 meters ahead, the rails are broken”. The highest acceleration that the train can produce is 10 m/s^2. If the train slows down with a constant acceleration of 10 m/s^2
How long will it take for the train to stop?
How many meters will it travel before it stops?
Botcookiemaster please don't use a file just give me the answer

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's consider the given terms ~

Initial velocity (u) = 100 m/s

Acceleration (a) = - 10 m/s²

(Acceleration is negative bbecause train slows down)

Final velocity (v) = 0 m/s

(final velocity is 0, because train stops)

Now, let's find the time taken (t) by using the first equation of motion ~

[tex]v = u + at[/tex]

[tex]0 = 100 + ( - 10 \times t)[/tex]

[tex]0 = 100 - 10t[/tex]

[tex]10t = 100[/tex]

[tex]t = 100 \div 10[/tex]

[tex]t = 10[/tex]

The train will take 10 secs to stop,

Now, let's find how much distance (s) it will cover before it stops using second equation of motion ~

[tex]s = ut + \dfrac{1}{2} at {}^{2} [/tex]

[tex]s = (100 \times 10) + ( \dfrac{1}{ 2} \times - 10 \times 10 \times 10)[/tex]

[tex]s = 1000 + ( - 500)[/tex]

[tex]s = 1000 - 500[/tex]

[tex]500 \: \: m[/tex]

It will cover 500 meters before coming to rest ~

The coefficient of kinetic friction between a couch and the floor is .81 if the couch has a mass of 71 kilograms and you push it with a force of 650 newtons what is the net force on the couch as it slides

Answers

Hi there!

The equation for the kinetic friction force is:

[tex]F_{kf} = \mu mg[/tex]

We can begin by doing a summation of forces acting on the couch where a positive force is in the direction of the couch's acceleration, or in the direction of the push.

Thus:

[tex]\Sigma F = F_A - F_{kf}[/tex]

Now, plug in the values:

[tex]F_{net}= 650 - (.81 * 9.8 * 71) = \boxed{86.4 N}[/tex]

Explain in terms of pressure why a boat made of modelling clay floats?

Answers

Answer:

cuz model clay float

Explanation:

yeah

Using public transports.
Turn off the lights when not in use
Recycle and Reuse
No to plastic bags
Reduction of forest fires and smoking
Use of fans instead of Air Conditioner
Use filters for chimneys
Avoid usage of crackers
how do I put this in a paragraph.

Answers

When using public transports always turn of the lights when they are not in use. Always recycle and reuse but don’t use plastic bags. All of this helps with the reduction of forest fires and the use of fans instead of air conditioning and filters on chimneys will also help with the environment.

Alejandro Kirk is the catcher for the Blue Jays’ baseball team. He exerts a forward force on the 0.145-kg baseball to bring it to rest from a speed of 38.2 m/s. During the process, his hand recoils a distance of 0.135 m.
Determine is the acceleration of the ball.
Determine the force applied by Alejandro.

Answers

Answer:

a= -5404.6 [m/s²]; F=785.75 [N].

Explanation:

1. Determine is the acceleration of the ball:

equation of the distance (0.135m) is:

[tex]S=-\frac{at^2}{2} +v_0t,[/tex]  where S=0.135[m]; a - required acceleration; t - elapsed time; v₀ - initial velocity (38.2 m/s);

also the required acceleration is:

[tex]a=\frac{v-v_0}{t}, where[/tex] V - the end velocity (0 m/s), t - elapsed time, ₀ - initial velocity (38.2 m/s).

Using the equations of reqruired acceleration and the distance it is possible to make up and solve the next system:

[tex]\left \{ {{a=-\frac{38.2}{t} } \atop {S=-\frac{at^2}{2}+38.2t }} \right. \ => \ \left \{ {{a=-\frac{38.2}{t} } \atop {0.5at^2-38.2t=0.135}} \right. \ => \ \left \{ {{a=-\frac{38.2}{t} } \atop {19.1t-38.2t=0.135}} \right. \ => \ \left \{ {{a=-5404.6} \atop {t=0.007}} \right.[/tex]

finally, a≈-5404.6 [m/s²].

2. Determine the force applied by Alejandro.

the energy is:

[tex]E=\frac{mv^2}{2}; \ or E=FS, where \ m-the \ mass; \ v-velocity; \ F-required \ force; S-distance;[/tex]

According to these two equations, the required force is:

[tex]F=\frac{E}{S}=\frac{mv^2}{2S};[/tex]

F=0.145*38.8²/2/0.135≈785.75 [N].

note, the suggested way is not the shortest one and not the only one.

P.S. if it is possible, check the arithmetic operations and the provided answers in other sources.

please solve due is today....asap please ​

Answers

Answer:

a)object is in uniform motion

Explanation:

velocity is constant.and a=0

body is in uniform motion.

BRAINLIST PLS

How to find resistance

Answers

Answer:

R = V/I

Explanation:

Example:

V = IR

R = V/I

If we were to use V = 120 and I = 0.25

R = 120/0.25

R = 480 Ohms

Your resistence would equal Ohms

At the exact same instant that a
ball is thrown horizontally (in a
projectile) another identical ball
is dropped straight down from
the same height. Which ball hits
the ground first?

Answers

Answer:

The ball being thrown straight down.

Explanation:

The downforce and  gravitational pull of the ball going down will give it

a higher velocity compared to the one trown horizontially it will take some time for it to catch downforce speed and reach the same velocity.

Explain how potential and kinetic energy are at play when we talk about Newton’s second law of motion?

Answers

Answer:

represents the energy the object possesses by virtue of its motion. ... This type of energy is generally known as kinetic energy. Thus, Equation (16) states that any work done on point object by an external force goes to increase the object's kinetic energy.

Explanation:

     

   The relation between some bodies are involved by Object's position and motion, i.e., through potential and kinetic energy in which it actually explained by Newton's second law of motion.

What is Newton's second law of motion?

Definition:

      Newton's second law states that force is equal to the rate of change of momentum, i.e., the mass and velocity.

It can be written as F = mv where m is mass and v is velocity. Potential energy can be described by a body's position while kinetic energy is possessed by a body's  motion. Both forms of energy are influenced by forces and are equal to the total momentum. Momentum can be described by explaining the mass and velocity of the object.

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Real-life situations of microphones.

Answers

Answer:

Microphones are used in many applications such as telephones, hearing aids, public address systems for concert halls and public events, motion picture production, live and recorded audio engineering, sound recording, two-way radios, megaphones, radio and television broadcasting.

Plate movements on Earth’s crust create ______

Answers

Answer: earthquakes and volcanoes

Explanation:

please help me please help​

Answers

Answer:

Answer Distance is 5 × 10⁴ km

Explanation:

Gravitational formular

[tex]{ \tt{F = \frac{GMm}{ {r}^{2} } }} \\ [/tex]

F is the gravitational forceG is the universal gravitational constantr is the separation distanceM & m are the masses

For the first case;

[tex]{ \tt{F _{1} = \frac{GMm}{2.5 \times {10}^{4} } }} \\ [/tex]

For the second case;

[tex]{ \tt{F _{2} = \frac{GMm}{r _{2}} }} \\ [/tex]

but F2 = ½F1

Therefore, F1 = 2F2

Hence:

[tex]{ \tt{ \frac{GMm}{2.5 \times {10}^{4} } =2 \times \frac{GMm}{r _{2} } }} \\ \\ { \tt{ \frac{1}{2.5 \times {10}^{4} } = \frac{2}{r _{2} } }} \\ \\ { \tt{r _{2} = 2 \times 2.5 \times {10}^{4} }} \\ \\ { \underline{ \tt{ \: \: r _{2} = 5 \times {10}^{4} \: km \: \: }}}[/tex]

Answer: Distance is 5 × 10⁴ km

Explanation:

a ______ is a push or pull that acts on an object

Answers

Answer:

A force is a push or pull that acts on an object.

:)

Answer:

force

Explanation:

It's unit is in Newton

We are able to walk toward because…

a) we push on the air
b) we push on the ground
c) the air pushes on us
d) the ground pushes on us

Answers

The answer is C because of gravity

We are able to walk toward because b) we push on the ground.

_

_

_

[tex] &#128536; \: &#128521; \: &#128520; \; &#128555; \: &#128548; \: &#128545; \: &#128536;[/tex]

three cars with identical engines and tires start from rest, and accelerate at their maximum rate. car x is the most massive, and car z is the least massive. which car needs to travel the farthest before reaching a speed of 60 mi/h?

Answers

Answer:  The most massive car, x, will take the longest to reach 60 mph.

Explanation:  The inertia of a car is dependent on its mass.  F=ma.  Given that each car has the same force (identical engines) the one with the higher mass will accelerate more slowly.

Power of an electric motor is 1 h.p. what does it mean ?​

Answers

Answer: HP = Horse Power.

Explanation: it is the unit given to tell the motor's particular power and 1hp = 746 watts.

A small sphere 0.70 times as dense as water is dropped from a height of 8 m above the surface of a smooth lake. Determine the maximum depth to which the sphere will sink. Neglect any energy transferred to the water during impact and sinking.

Answers

Answer:

18.66m

Explanation:

This was actually fun! Let set up the problem first: As you drop the sphere, it will accelerate till it hits the water with a given speed [tex]\dot z[/tex]. Once sinking the ball is subjected to two forces: its own weight [tex]m_sg = \rho_sVg[/tex] directed towards the bottom of the lake, and buoyancy (Archimedes law), ie a force upward equal to the volume of displaced water, [tex]m_wg=\rho_wVg[/tex]. At this point it's the classical "how high can I toss a ball before it falls down" with a water twist. Please note that I'm using z as the height of the sphere, and [tex]\dot z; \ddot z[/tex] represent the velocity (with one dot) and the acceleration (with two dots) in the z direction .Let's assume the sign of all quantities being positive if directed upwards, and negative if towards the bottom of the lake.

Let's first determine how fast the ball hit the water. For me the easiest way is saying "at 8m it has a given potential energy, and 0 kinetic energy. When it hits the water it loses all potential energy and has only kinetic energy". In numbers:

[tex]m_sgz=\frac12m_s\dot z_0^2[/tex] Let's divide by the masses, g is a known value ([tex]9.81 ms^{-2}[/tex]), z is 8 meters, and we get that [tex]\dot z_0 = 4\sqrt g =12.52 m/s[/tex]

At this point, let's determine the force acting on the sphere, courtesy of Newton second law and the debate we had earlier:

[tex]m_s \ddot z = -m_sg + m_wg\\\rho_sV \ddot z = -\rho_sVg + \rho_wV g[/tex]

At this point we can divide by the volume of the sphere, and make use of the fact that [tex]\rho_s = 0.7 \rho_w[/tex]

[tex]0.7\rho_w \ddot z = -.7\rho_w g+ \rho_wg \rightarrow 0.7 \ddot z = 0.3 g\\\ddot z = \frac {0.3}{0.7} g= \frac 37g = 4.2 ms^-2[/tex]

We're almost there. At this point we can write the law of motion for the sphere.

[tex]\dot z = \dot z_0 + \ddot z t[/tex] that we will use to find the time for the ball to stop sinking - ie reaches 0 velocity.

[tex]0 = -12.52 +4.2t \rightarrow t= 12.52/4.2 \approx 3s[/tex]

At this point we can use the other law of motion to find out the distance traveled

[tex]z= z_0 + \dot z_ot + \frac12 \ddot z t^2\\z= 0 -12.52 (3) + \frac12 (4.2)(3)^2 = -37.56+18.90 = -18.66 m[/tex]

as usual, please double and triple check all the calculations, it's almost 1.30 am here and I am not the most confident number cruncher even when fully awake.

Eva's pillows are really old and very flat. She is very used to them, so she thinks that they are fine. What would be a healthier option?
А. Fuller pillows that keep her neck straight
B. Stacking pillows so that her head is elevated.
C. Eliminating pillows and just sleeping on the mattress.
D. Using the pillows to get her feet higher than her head.

Answers

Answer:

I think c

Explanation:

have a good day/night/ whatever

Fuller pillows that keep her neck straight. The correct option is A.

Thus, Broader pillows that properly support her neck and head would be a better choice. Better sleeping posture and a lower incidence of neck and back pain can both be encouraged by pillows that keep the neck and spine in their natural alignment.

Flat pillows could not offer enough support, which could result in poor alignment and long-term discomfort or suffering.

Stacking pillows in Option B may provide some elevation, but it might not necessarily provide the essential neck and spine support. Option C (without using pillows) can fail to give the head and neck the necessary support and cushioning.

Thus, Fuller pillows that keep her neck straight. The correct option is A.

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