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

why the max Static frictional force is a Little bit bigger than the sliding frictional force​

Answers

Static Friction is more than sliding friction because, in case of STATIC FRICTION, the body needs to overcome the inertia of rest. And also in case of SLIDING FRICTION, the body posses inertia of motion since the body is already in motion.

Hope it helps!

Which country is considered to have one of the best ski teams in the world?

Answers

Answer:

France

Explanation:

France is the undisputed champion in the world of skiing.

Determine the kinetic energy of a 1500 kg roller coaster car that is moving with a speed of 35.0 m/s.

Answers

Answer:

kinetic energy equation is 85,714.2857 kg.

Explanation:

251mL=25100L
True or false and why or why not?

Answers

Answer:

False

Explanation:

To find how many liters 251mL is you would need to divide 251 by 100 which is 0.251.

Which ONE of the following pairs of physical quantities consists of one scalar and one vector quantity?
A. Distance and speed
B.Speed and acceleration C.Displacement and velocity
D. Velocity and acceleration.​

Answers

Answer:

speed and acceleration

Explanation:

speed is a scalar quantity

acceleration is a vector quantity

which acts as a transverse wave with particle motion perpendicular to wave motion?

Answers

Answer:

transverse wave, motion in which all points on a wave oscillate along paths at right angles to the direction of the wave's advance. Surface ripples on water, seismic S (secondary) waves, and electromagnetic (e.g., radio and light) waves are examples of transverse waves.

What happens to the volume of a fixed amount of gas if both the pressure and the absolute temperature are doubled

Answers

Answer: no change in volume

Explanation:

The weight of a cart with a mass of 150 kg is ___ N. (Use 9.8
m/s2 for the acceleration due to gravity.)

Answers

Answer:

1470 N

Explanation:

Weight = m*g

So 150 kg * 9.8 m/s^2 = 1470 N

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.

What role does physical health play into nutrition?

Answers

The health impact of eating a healthful diet and being physically active cannot be understated. Together, a healthful diet and regular physical activity can help people: Achieve and maintain a healthy weight. Reduce the risk of heart disease and stroke.

A black disk rotates with constant speed and a coin that is located on the edge of the disk moves with speed v. If on a white disk that also rotates with constant speed, we place the same coin on the edge, it is moving with speed 4v. Which disk has a larger radius?

Answers

The white disk has a larger radius.

We know that the speed of the coin v = rω where r = radius of the disk and ω = angular speed of the disk.

Now, since both disks rotate at constant speed, ω = constant.

So, v ∝ r

For the black disk, its radius is r, the coins speed is v.

For the white disk, let its radius be R, the coins rotates at a speed V = 4v

We know that v ∝ r.

Since the coin on the white disk has a greater speed, so its radius would be greater.

So, the white disk has a larger radius.

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Sachi wants to throw a water balloon to knock over a target and win a prize. The target will only fall over if it is hit with a force of 0. 035 N. The water balloon has a mass of 11. 4 grams. How fast will Sachi have to make the water balloon accelerate to hit the target with enough force and win the prize? Round the answer to the nearest one tenth m/s2. The water balloon must accelerate m/s2.

Answers

Hi there!

We can use the following equation (Newton's Second Law):

∑F = ma

m = mass of object (kg)

a = acceleration (m/s²)

We can rearrange to solve for 'a':

F/m = a

Remember to convert grams to kg.

1000g = 1 kg

0.035/(0.0114) = 3.07 m/s²

If you had a stain on your shoe, what would you do to cover it?

Answers

Answer: depends what kind of stain and color shoe.

Explanation:

Answer:

Wash the shoe

Explanation:

If the stain is unwashable, then I'd either get new shoes or paint over them.

HELP PLZZZZZZ
A 30 g spoon is lifted above a table and has 0.062 J of potential energy. How high is it?

Answers

Hi there!

We know that:

U (Potential energy) = mgh

We are given the potential energy, so we can rearrange to solve for h (height):

U/mg = h

g = 9.81 m/s²

m = 30 g ⇒ 0.03 kg

0.062/(0.03 · 9.81) = 0.211 m



Use the graph of velocity versus time for an object to answer the question.

Which statement fairly compares segment 2 and segment 3?
(1 point)
O These represent equal periods of time, but the force during segment 2 is different than the force during segment 3.
These represent different periods of time, but the force acting on the object is the same during each period of time.
O These represent different periods of time, and the force during segment 2 is different than the force during segment 3.
O These represent equal periods of time, and the force acting on the object is the same during each period of time.​

Answers

The statement which fairly compares segment 2 and segment 3 is These represent equal periods of time, but the force during segment 2 is different than the force during segment 3.

Since segment 2 starts at t = 60 s and ends at t = 150 s, the time interval is Δt = 150 - 60 = 90 s.

Also, segment 3 starts at t = 150 s and ends at t = 240 s, the time interval is Δt = 240 - 150 = 90 s.

So, their time periods are the equal.

We notice that segment 2 is less steep than segment 3 this implies that the acceleration in each segment is different, since the acceleration is the slope of the graph.

Since force is determined by acceleration, this implies that the force on segment 2 is different form the force acting in segment 3.

So, we have equal time periods but different forces.

So, the statement which fairly compares segment 2 and segment 3 is These represent equal periods of time, but the force during segment 2 is different than the force during segment 3.

Learn more about velocity-time graph here:

https://brainly.com/question/24788847

Answer:

Segments 2 and 3 have equal periods of time but the force during segment 2 is different than the force during segment 3 !! :)

Explanation:

v=VyV67.2 -8.2 m/s
Part B
Now let's see if your prediction agrees with the experimental results. There isn't any data at y=-3.5 m, so you'll need to interpolate by zooming in
on the relationship between y velocity (W) and y displacement. You'll use Tracker's Data tool to help with this analysis. Follow these steps:
• Change the vy versus t graph to a vy versus y graph. (Click the t label on the horizontal axis and select y. position y-component from the
menu.)
• It's a little hard to see what's going on with this graph at y = -3.5, so zoom in. Double-click on the graph to open it up in the Data tool.
. Put your cursor on the point where the graph line intersects y = -3.5. Click and hold to read the vy at that point shown in a yellow box in the
bottom left comer).
What's the interpolated graph value of v, at y = -3.57 Comment on how well this value agrees with the value of v, that you calculated in part A of
this activity. Make a hypothesis about any notable difference.

Answers

Answer:

-3.5

Explanation:

b/c the distance is moving in to two A And B A +B or S1 +S2 that is it

Answer:

The interpolated velocity value from the graph is -8.1 meters/second. The calculated value based on the average acceleration is -8.2 meters/second. This is very good agreement.

Explanation:

how much heat is needed to warm .052kg of gold from 24 degrees celsius to 120 degreees celsius

Answers

Explanation:

i need answers to this problem

The maximum allowable potential difference across a 250 mH inductor is 360 V . You need to raise the current through the inductor from 1.5 A to 2.5 A . What is the minimum time you should allow for changing the current?

Answers

This question involves the concepts of potential difference, inductance, and current.

The minimum time that should be allowed for the current to change is "0.694 ms".

The inductance of an inductor is given by the following formula:

[tex]E=L\frac{\Delta I}{\Delta t}\\[/tex]

where,

E = potential difference across the inductor = 360 volts

L = inductance of the inductor = 250 mH = 0.25 H

ΔI = change in current = 2.5 A - 1.5 A = 1 A

Δt = time required = ?

Therefore,

[tex]\Delta t = \frac{(0.25\ H)(1\ A)}{360\ volts}[/tex]

Δt = 6.94 x 10⁻⁴ s = 0.694 ms

Learn more about inductance here:

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Find the gravitational potential energy of a body of mass 25kg,kept at a height of 4m If g=10m/s'.

Answers

Answer:

Explanation:E=mgh=25×4×10=1000J

An electric heater is rated 300W 110V. The safety fuse in the circuit can withstand 15 A of current. How many heaters can be safely operated in the circuit

Answers

The number of heaters that can safely be operated in the circuit is 5 heaters.

From the question given above, the following data were obtained:

Power of heater = 300 W

Voltage (V) = 110 V

Current (I) = 15 A

Number of heaters = ?

Next, we shall determine the power that can be drawn from the circuit. This can be obtained as follow:

Voltage (V) = 110 V

Current (I) = 15 A

Power (P)= ?

P = IV

P = 15 × 110

P = 1650 W

Thus, the power that can be drawn from the circuit is 1650 W

Finally, we shall determine the number of heaters that can be operated in the circuit. This can be obtained as follow:

Power of heater = 300 W

Power of Circuit = 1650 W

Number of heaters = ?

[tex]Number \: of \: heaters \: = \frac{power \: of \: circuit}{power \: of \: heater} \\ \\ = \frac{1650}{300} \\ \\ = 5.5[/tex]

From the calculation made above, the number of heaters that can be operated safely in the circuit is 5 heaters.

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What net force would be necessary to cause a block of wood with a mass of 2.5 kg to accelerate at a rate of 3.0 m/s2

Answers

Answer:

7.5 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 2.5 kg

acceleration = 3.0 m/s²

We have

force = 2.5 × 3.0 = 7.5

We have the final answer as

7.5 N

Hope this helps you

10. Which of the following will happen to the respiratory-associated muscles if you were to blow up a balloon?
A. Diaphragm contracts, Internal intercostal would relax
B. Diaphragm would contract, external intercostal would relax
C. Internal intercostal and abdominal muscles would contract
D. External intercostal would contract and diaphragm would relax​

Answers

Answer:

C

for sure

go for it

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

Your answering would be B

11. A box with a mass of 1.0 kg is resting on a horizontal surface and the coefficient of friction between the block and the surface is 0.20. It is accelerated by attaching a 1.5 kg mass, as shown in the diagram. Assume that the pulley is frictionless and that the cord has negligible mass.
a. What is the acceleration of the box? What is the tension?

Answers

Answer:

We know that the force pulling the box in the positive x direction has a magnitude of m g sin 30 . Using Newtons Second Law, F = ma , we just need to solve for a :

ma=mgsin30

a=gsin30

=(10m/s2)(0.500)

=5m/s2

Answer:

A force is applied acting to the right. Assume that friction is negligible. Ikg 0.5N. For each question, one or more features of the system.

Explanation:hope this helps

a person with a mass of 15 kg is walking downhill at a velocity of 10 ms what is the Walkers momentum

Answers

Answer:

[tex]150 kg\cdot m/s[/tex]

Explanation:

Same as if he was walking uphill, or horizontally. Momentum is defined as the product of mass times velocity. [tex]p = mv = 15\cdot 10 = 150 kg\cdot m/s[/tex]

a ball is thrown with a speed of 100 m/s at a height of 150 m take g equals 9.8 m per second calculate the time of flight,angle of projection,range pls help I don't know how to solve it​

Answers

Hi there!

Since the ball is thrown with an initial HORIZONTAL velocity, we can treat this as a free-fall situation since the horizontal motion does NOT impact the ball's vertical motion.

We can use the derived kinematic equation:

[tex]t = \sqrt{\frac{2h}{g}}[/tex]

Plug in the given values:

[tex]t = \sqrt{\frac{2(150)}{9.8}} = \large\boxed{5.53 s}}[/tex]

The angle of projection is 0° because there is no vertical component to the velocity as the initial velocity is purely horizontal.

Range:

We can use the equation:

dₓ = vₓt

displacement (x direction) = velocity (x direction) · time

Used the solved-for time and given velocity:

dₓ = 100 · 5.53 = 553 m

what is the average speed of the toy car during the two trials to the nearest tenth of m/s

wait nvm the answer is D

Answers

Answer:

what is the average speed of the toy car during the two trials to the nearest tenth of m/s

wait nvm the answer is B

Explanation:

CARRY ON LEARNING

Two illustrations labeled A and B. In Illustration A a hand is pushing on a mass labeled m that is connected to a spring and the spring is connected to a wall. In illustration B the spring is back to its normal length and the mass is moving away from the end of the spring at a velocity v. The position where the block started from is labeled x = 0. A spring attached to a mass is at rest in the initial position (not shown). The spring is compressed in position A and is then released, as shown in position B. Which equation describes conservation of energy in position A?

Answers

Answer:

The answer is (C) E= 1/2 kx^2

Explanation:

Answer:

ITS C JUST FINISH

Explanation:

difference between 1 hectoliter and one kiloliter

Answers

1 hectoliter = 100 liters and one kiloliter =1000 liters
A hectoliter is 10 times smaller than a kiloliter

Answer: 100 and 1000

Explanation:

A concave mirror has a centre of curvature of 24.0 cm. An object 2.5 cm tall is placed 40.0 cm in front of the mirror.
a) At what distance from the mirror will the image be formed?
b) What is the height of the image?

Answers

Answer:

Object distance should be 48

Explanation:

in pic

_____________________________

(hope this helps can I pls have brainlist (crown)☺️)

If you took a balloon of gas and then warmed the balloon in a sunny window, what can now be said about the density of the gas in the balloon

Answers

Explanation:

The density of the gas in the balloon will explode

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