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

Learn more here:  brainly.com/question/15557220


Related Questions

the small lightweight particles outside the nucleus of an atom are called___.​

Answers

The neutron has no charge, and a mass of slightly over 1 amu. Some scientists propose the neutron is made up of a proton and electron-like particle. The electron is a very small particle located outside the nucleus.

Electron: -1

Neutron: 0

Proton: +1

A 10 kg box is motionless on the floor. If the coefficient of static friction is 0.4 and the coefficient of kinetic friction is 0.3 (between the box and the floor), find the force required to start the block in motion
Please I need help ❤️

Answers

The force required to start the block in motion is equal to 39.2 Newton.

Given the following data:

Mass of box = 10 kgCoefficient of static friction = 0.4 Coefficient of kinetic friction = 0.3

To determine the force required to start the block in motion:

Note: The force that is required to start the block in motion must be greater than or equal to the force of static friction.

Mathematically, the force of static friction is given by the formula;

[tex]Fs = uFn = umg[/tex]

Where;

Fs represents the force of static friction.μ represents the coefficient of friction.[tex]F_n[/tex] represents the normal force.g is the acceleration due to gravity.m is the mass of an object.

Substituting the given parameters into the formula, we have;

[tex]F_s = 0.4 \times 10 \times 9.8\\\\F_s = 4 \times 9.8\\\\F_s = 39.2\;Newton[/tex]

Read more on force of static friction here: https://brainly.com/question/25686958

which of these MANNER of death? (select all that apply)
1-blood loss
2-cessation of brain function
3-accidential death
4-stabbing
5-pulmonary arrest
6-homicidal death
7-natural death
8-shooting

Answers

Answer:

3, 4, 6, 7, 8 are manners of death.

if an astronaut has a mass of 80kg on earth, what is their mass on the moon?

Answers

Answer:

130 N basically

Explanation:

A swimming pool has dimension of 30m×10m×3m. When it is filled with water , what is the thrust on the bottom and sides

Answers

Answer:

3,900m³

Explanation:

A car of mass 1500 kg is moving with a velocity of 30 m/s. If the velocity-time graph for this car
is a horizontal line parallel to the time axis, then the velocity of the car at the end of 25 s will be

Answers

Answer:

v=30m/s

Explanation:

m = 1500kg

v = 30m/s

t = 25s

The velocity time graph is parallel to the time axis,

that means The Velocity is constant. ('constant' means remains same).

Therefore, after 25s, v=30m/s

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:

For a boiling kettle draw a sankey diagram to show where The energy goes

Answers

Answer:

draw the picture / (.) (.) \ Patrick star

Terri is excited about the baby she is carrying in her womb. One day, she tells her
cousin that the child is now the size of a grape. Weeks later, she describes the child as
the size of an apple. A few weeks after that, she describes the child as the size of a
banana. "Seriously, Terri, are you having a baby or shopping for groceries?" asks her
cousin. Terri explains that this is just the easiest way to describe the size of the baby
now that it is a(n)
Zygote
O Fetus
O Embryo
Infant

Answers

Answer:

Fetus

Explanation:

the outsiders I got nuggets out of the elder and I get to make it in and I got I got

anybody know the answer??

Answers

Answer:

Centimeter

Explanation:

We know the measurement is defined as:

1 meter= 100cm

1 cm= 1/100 meter

1 centimeter= 0.01 meter

Therefore, 0.01 meter is equal to 1 cm or 1 centimeter.

decimeter 0.1
centimeter is 0.01

7. A taxi is travelling at 15 m/s. Its driver accelerates with acceleration 3 m/s2 for 4 s. What is its new velocity​

Answers

Hi there!

To solve, we can use the following equation:

vf = vi + at

vi = initial velocity (m/s)

a = acceleration (m/s²)

t = time (s)

vf = final velocity (m/s)

Plug in the given values:

vf = 15 + 3(4)

vf = 15 + 12 = 27 m/s

Answer:

[tex]\boxed {\boxed {\sf 27 \ m/s}}[/tex]

Explanation:

We are asked to find the new or final velocity of a taxi.

We will use the following kinematic equation:

[tex]v_f=v_i+at[/tex]

The car was initially traveling at 15 meters per second. It accelerated at 3 meters per second squared for 4 seconds.

[tex]v_i=[/tex]15 m/s[tex]a=[/tex]3 m/s ²t= 4 s

Substitute the values into the formula.

[tex]v_f= 15 \ m/s + (3 \ m/s^2* 4 \ s)[/tex]

Multiply the numbers in parentheses.

3 m/s/s * 4 s = 3 m/s *4 = 12 m/s

[tex]v_f= 15 \ m/s +12 \ m/s[/tex]

Add.

[tex]v_f=27 \ m/s[/tex]

The new velocity of the taxi is 27 meters per second.

The metal hammer has a mass of 1500 kg and it hits the baseplate
with a speed of 8.0 m/s.
0 Calculate the kinetic energy of the hammer as it hits the baseplate.

Answers

Answer:

2300.68

Explanation:

The metal hammer has a mass of 1500 kg and it hits the baseplate

with a speed of 8.0 m/s.

0 Calculate the kinetic energy of the hammer as it hits the baseplate. there for it will create the kinetic energy of 2300.68 as it hits the baseplate.

If you have a rocket that has a mass of 20kg and is accelerating at 25 m/s what force
would that rocket experience?
a . 20N
b . 40000N
c. 500N
d. 25N

Answers

F = ma
F = (20kg) x 25
= 500N
So your answer is C :)
Always remember “FAM” In the shape of a triangle … so F will be at the top and A&M at the bottom that way you will remember that F = mass x acceleration

The best evidence for dark matter in the milky way comes from the observation that the rotation curve

Answers

It’s quite flat at great distance from the center

A rock climber’s shoe loosens a rock, and her climbing buddy at the bottom of the cliff notices that the rock takes 3.20 s to fall to the ground. How high up the cliff is the rock climber?

Answers

Answer:

50.176 [m].

Explanation:

1) the required height can be calculated using the formula:

h=V₀*t+1/2* g*t₂, where V₀ - initial velocity of the rock, t - elapsed time, g - 9.8 m/s²;

2) if V₀=0, t=3.2, g=9.8, then

h=0.5*9.8*3.2²=1024*49*10⁻³=50.176 [m].≈50[m].

If the momentum of the NASA space shuttle as it leaves the atmosphere is 3.75 x 10^8 kg ·m/s and its mass is 75000 kg, what is its speed?

Answers

Hi there!

We know that:

Momentum (p) = mass (kg) × velocity (m/s)

Or:

P = mv

We can rearrange the equation to solve for speed:

P/m = v

Plug in the given values:

(3.75 × 10⁸)/75000 = 5000 m/s

how many cubic objects of volume 2cm cube can be started in a room of dimension 2m by 3m by 4m​

Answers

Answer:

12,000,000 boxes

Explanation:

the volume of the room can be found by using the equation for volume of a rectangular box:V=LxWxH

where:

L=2m

W=3m

H=4m

(it doesn't really matter which is which since it is multiplication)

when we multiply our values (2m*3m*4m) we get 24cubic meters

now we need to convert cubic meters to cubic centimeters

each cubic meter is 1,000,000 cubic centimeter we multiply 24 by 1,000,000 and we get: 24,000,000 cubic centimeters (cc)

dividing 24,000,000 by 2 (since each box is 2cc) we get 12,000,000

so, we know we can fit 12,000,000, 2 cubic centimeter boxes in this room

If Earth's mass doubled, your weight would..
a. increase
b. decrease
c. stay the same

Answers

Answer:

a. increase

Explanation:

Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.

How is a controlled variable different from a responding variable? O A. A controlled variable changes due to changes in the responding variable during the experiment. B. A controlled variable stays the same throughout an experiment, but a responding variable changes, C. A controlled variable changes throughout an experiment, but a responding variable stays the same. O D. A controlled variable stays the same due to changes in the responding variable during the experient.​

Answers

Answer:The controlled variable is the one that you keep constant. The responding variable or variables is what happens as a result of the experiment

Explanation:Mark me brainly please

Rope A is tied to block 1, and rope B is attached to both block 1 and block 2 as shown in the diagram. Block 1 has a mass of 4.2 kg and block 2 has a mass of 2.6 kg. You lift both blocks straight up. Calculate the magnitude of tension in each of the ropes when the blocks

Move at constant velocity of 1.5 m/s [up]
Find the magnitude of tension in each rope when the blocks are accelerating at 1.2 m/s^2 [up].
The maximum tension the strings can withstand is 90. N. Knowing this, determine the maximum acceleration of the blocks that would not break the rope.

Answers

Hi there!

Part 1:

If the blocks are moving at a constant velocity:

∑F = 0

Begin by summing the forces acting on each block. Let the upward direction be positive.

∑F₁ = Ta - M₁g - Tb

∑F₂ = Tb - M₂g

Sum the forces:

∑F = Ta - M₁g - Tb + Tb - M₂g

∑F = Ta - M₁g - M₂g = 0

Solve for Tension A:

Ta = M₁g + M₂g (Let g = 9.8 m/s²)

Ta = 4.2(9.8) + 2.6(9.8) = 66.64 N

Now, solve for tension B using the summation of ∑F₁:

0 = Tb - M₂g

Tb = (2.6* 9.8) = 25.48 N

Part 2:

We can use the same method, but incorporate the acceleration:

∑F = Ta - M₁g - M₂g

(M₁ + M₂)a = Ta - M₁g - M₂g

(M₁ + M₂)a + M₁g + M₂g = Ta

(4.2 + 2.6)(1.2) + 4.2(9.8) + 2.6(9.8) = 74.8 N

∑F₂ = Tb - M₂g

M₂a + M₂g = Tb  = 28.6 N

Part 3:

Since the top string experiences most of the tension, we can use its equation to calculate the maximum acceleration:

∑F = Ta - M₁g - M₂g

(M₁ + M₂)a = Ta - M₁g - M₂g

a = (90 - M₁g - M₂g)/(M₁ + M₂)

a = 3.435 m/s²

What is the best reason astronomers have come up with to explain why sunspots are cooler and look darker

Answers

Answer:

Sunspots are places where the strong magnetic fields in the Sun resist the upward motion of bubbling hot gases from underneath

Explanation:

answer with proper explanation

Answers

Answer:

B

Explanation:

Moment = force * perpendicular distance

Since the beam is balanced(equilibrium), the 2 moments will be equal.

30 * P = 70 * Q

The 2 combinations which achieve this equality is P = 21 and Q = 9

The steepest street in the world is Baldwin Street in Dunedin, NZ. It is inclined at an angle of 380 , with the horizontal. A child slides down the street with a constant velocity on a sled with high friction runners. What is the coefficient of friction between the sled runners and the street?

Answers

Newton's second law allows to find the result for the friction coefficient of the street is:

The friction coeficinwete is: μ = 0.78

Newton's second law establishes a relationship between the net force, the mass and the acceleration of the body.

           ∑ F = m a

Where bold indicates vectors, m is to mass and acceleration.

In the attached we see a free body diagram, it is a diagram of the forces without the details of the body, the x-axis is parallel to plane also shown with the positive in the direction of movement, going down the plane and the y-axis perpendicular to the plane.

Let's use trigonometry to break down the weight.

        Sin θ = [tex]\frac{W_x}{W}[/tex]  

        cos θ = [tex]\frac{W_y}{W}[/tex] / W

        Wₓ = W sin θ

         [tex]W_y[/tex]  = W cos θ

We write Newton's second law for each axis.

y-axis

         N- [tex]W_y[/tex]  = 0

         N = mg cos θ

x-axis

        Wₓ - fr = ma

Since they indicate that the body goes down at a constant speed, the acceleration is zero.

         W sin θ = fr

The friction force is the macroscopic representation of the interactions between the two surfaces and the formula.

         fr = μ N

we substitute.

          fr = μ mg cos θ

         mg sin θ = μ cos θ  

        μ = tan θ

Let's calculate.

         μ = tan 38.0

         μ = 0.78

In conclusion using Newton's second law we can find the results for the friction coefficient of the street is:

The frivtion coefficient is:  μ = 0.78

Learn more about the coefficient of friction here:  brainly.com/question/11808898

A boy standing on a bridge 150m above the canyon floor throws a stone downward with a speed of 20.0m/s.
A) with what velocity will it hit the ground?
B) How long will it take to descend?

Answers

Answer:

57.97m/s

12.1s

Explanation:

Use one of the key equations of accelerated motion and sub in the values

vf^2=vi^2+2aΔd

vf^2=(20)^2+(2*9.8)(150)

vf^2 = 3340

vf = 57.79m/s (square rooted both sides)

now use another equation

Δd = (vi+vf/2)Δt

and rearrange for Δt

Δt = (2Δd-vf)/vi

sub in values

Δt = (2*150-57.79)/20

Δt = 12.1s

mark me as brainliest if this helped!

Mushroom is a fungi. ​

Answers

[tex]⇒[/tex]

Mushrooms are filamentous fungi that produce large, often edible fruiting bodies. They live on organic material, thriving on compost, fallen leaves and damp wood and any other dead plant or animal matter. Their role in causing decay is important in maintaining ecological cycles.

2. Un niño hace girar con la mano una pelota de hule que se encuentra sujeta mediante un cordón de
0.75 m de longitud. Si la pelota da 0.7 vueltas a cada segundo, entonces,
a) ¿Cuál es el periodo de la pelota?
b) ¿Cuál es la velocidad lineal de la pelota?

Answers

Cuando el niño hace girar 0.7 vueltas por segundo una pelota de hule que se encuentra sujeta mediante un cordón de 0.75 m de longitud, tenemos que:

a) El periodo de la pelota es 1.43 segundos.

b) La velocidad lineal de la pelota es 3.3 m/s.

a) El periodo de la pelota está dado por:

[tex] T = \frac{2\pi}{\omega} [/tex]

En donde:

ω: es la velocidad angular

Dado que la pelota da 0.7 vueltas (revoluciones) cada segundo, la velocidad angular es:

[tex] \omega = \frac{0.7 \:rev}{s}*\frac{2\pi rad}{1 \:rev} = 4.40 rad/s [/tex]

Entonces, el periodo es:

[tex]T = \frac{2\pi}{\omega} = \frac{2\pi}{4.40 rad/s} = 1.43 s[/tex]

b) La velocidad lineal de la pelota se puede calcular usando la siguiente ecuación:

[tex] v = \omega r [/tex]

En donde:

r: es el radio de la circunferencia = longitud del cordón = 0.75 m

[tex]v = \omega r =4.40 rad/s*0.75 m = 3.3 m/s[/tex]

Por lo tanto, la velocidad lineal de la pelota es 3.3 m/s.

Puedes encontar mas aquí:

https://brainly.com/question/19380743?referrer=searchResultshttps://brainly.com/question/17689540?referrer=searchResults

Espero que te sea de utilidad!

which of the following changes will result in a weaker electromagnet

Answers

Answer:

Changing the metal core for a different metal will make the electromagnet stronger or weaker.

Explanation:

Hope this helped, nya~ :3

ASAP
A truck is speeding up (with a constant acceleration) from rest to 45 m/s and it takes it 15 seconds to do so. How far will the car travel?

Answers

Answer:

675 KM

Explanation:

hAVE A NICE DAY

675 km
Hope that helps

what is the model size to actual size

Answers

Answer:

You have to divide your real measurement to the model. For example, if your real measurement is 5m and your model is 20cm, divide 5/20 =1/4 and that means the ratio would be 1:4.

Explanation:

What do you mean by 100w power?​

Answers

If you have a Light bulb that has a rating of 100 watt, it means that the light bulb consumes 100 J per second. kWh is the unit of energy. You can compare this to the volume of water that comes out of the pipe. A 100 watt light bulb when used for an hour will consume 100 Watt-hour of energy which is 0.1 kWh of energy.
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