A light ray incident from any direction within the octant of space bounded by the reflecting surfaces will reflect once from each mirror. The final direction of the ray will be opposite its original direction. The radius of the Moon's orbit in increasing at the rate of 3.8 cm/yr as it loses kinetic energy because of tidal friction.
Given that two flat, rectangular mirrors, both perpendicular to a horizontal sheet of paper, are set edge to edge with their reflecting surfaces perpendicular to each other, we have to analyze the reflection of a ray of light on them. The incident ray of light is from any direction within the octant of space bounded by the reflecting surfaces.In this question, we are going to make an argument that a ray of light will reflect once from each mirror and that its final direction will be opposite its original direction.
We are going to assume that the paper is replaced with a third flat mirror, touching edges with the other two and perpendicular to both, creating a corner cube retroreflector (Fig. 35.8a). In this configuration, a light ray can be incident on one of the mirrors, and then it can be reflected onto the second mirror.The incident ray will then hit the third mirror, which is at a 90-degree angle to the other two. The third mirror will reflect the ray back in the same direction as the original ray. So, it is reflected once by each mirror and is opposite to the direction of the original ray. Therefore, the final direction of the ray is opposite to its original direction.
To know more about reflection, visit at:
https://brainly.com/question/15487308
#SPJ11
(b) determine the maximum value of the electric field in the sunlight at the earth's location.
Find the greatest electric field strength in the sun at the earth's position. The highest electric field strength in the sun at the earth's location is 1.056 kV/m.
What is the real name of Earth?It is a frequent fallacy that “Terra” is the worldwide genus of the planet, although in reality Earth doesn't even have an important diplomatic name. The conventional English name of a planet, including in academia, is “Earth”
What that is Earth?Our homeworld Earth is a stony, terrestrial world. It features a substantial and lively surface with mountains, rivers, gorges, plains and much more. Being an ocean planet, Earth is unique. Water covers 70percent of Earth's crust.
To know more about Earth visit:
https://brainly.com/question/13090881
#SPJ4
Question 2 (1 point) ✓ Saved
(3.03.b_Q2) NOTE: The same story problem is used for questions 1 - 5: In a
piston/cyclinder gas container, the piston starts with a inside gas volume of 3.0 cc
and a pressure of 0.8 atmosphere at room temp. The piston is pushed into the
cylinder, reducing the volume to 1.0 cc. The piston/cylinder is left to equilibrate
back to room temp before measuring the final pressure.
Which gas law formula should be used to solve this opportunity?
constant volume, initial P/T = final P/T
constant temperature, initial PV = final PV
constant pressure, initial V/T = final V/T
density = mass/volume
Answer:
The gas law formula that should be used to solve the opportunity is;
Constant temperature, initial P·V = final P·V
Explanation:
From the question we have;
The initial volume of the cylinder, v₁ = 3.0 cc
The initial pressure of the gas in the cylinder, p₁ = 0.8 atm
The initial temperature of the gas in the cylinder, T₁ = Room temperature
The final volume of the cylinder, v₂ = 1.0 cc
The final pressure of the gas in the cylinder = p₂
The final temperature of the gas in the cylinder, T₂ = Room temperature
The gas law formula that should be used to solve the opportunity is Boyle's law which states that at constant pressure the pressure, of a given mass of gas is inversely proportional to the volume of the gas
Mathematically, Boyle's law can be expressed as follows;
P ∝ V
∴ P₁·V₁ = P₂·V₂
Which gives;
Constant temperature, initial P·V = final P·V
examine the first figure(figure 1), in which you see jackie's spaceship traveling at 1000 km/hr as she throws the baseball at a speed of 100 km/hr . how fast would you say the baseball is going?
You can see the ball travelling alongside Jackie at a rate of 1000 km/h before she throws it.The ball will appear to be going at a speed of 1000 km/h plus 100 km/h, or 1100 km/h, because she tosses in the same direction than you perceive her moving.
How do you define speed?The speed at which an object's location changes in any direction. The helps to guide in comparison to the time it took to cover the distance is how mobility is characterized. Since speed simply has a direction and no magnitude, it is a scalar quantity.
What is speed and what is its unit in physics?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time and also the basic measure of space are combined to form the Special name of speed. As a result, m/s is the Si derived unit of speed.
To know more about Speed visit:
https://brainly.com/question/6280317
#SPJ4
How did the gold leaf experiment lead to the current understanding of the atom
Answer:
Rutherford's gold foil experiment showed that the atom is mostly empty space with a tiny, dense, positively-charged nucleus. Based on these results, Rutherford proposed the nuclear model of the atom.
why should a counterweight be moveable
A weight known as a counterweight is one that stabilizes and balances a mechanical system by exerting an opposing force.
Why do moveable flight control surfaces have large counterweights installed in the leading edge?A counterweight's function is to speed up and improve the efficiency of lifting the load, which conserves energy and reduces wear and tear on the lifting apparatus. A weight known as a counterweight is one that stabilizes and balances a mechanical system by exerting an opposing force.
To lift loads up to 120 tons, tower cranes are utilized at large building sites. In a tower crane, a fixed and a moveable counterweight are held by two arms that extend from the center of the structure. For the purpose of balancing the load, the operator moves the mobile counterweight.
For the purpose of providing offset forces in the flight controls, counter weights are used. With less pressure needed to move the controls, this gives them better "feel" and "feedback" forces.
To learn more counterweight refer to:
https://brainly.com/question/29840021
#SPJ1
A counterweight should be moveable so as to make lifting the load in a faster and more efficient manner.
What is a counterweight?A counterweight is a weight which has a major purpose to help maintain the stability and balance of a mechanical system by exerting an opposing force. A counterbalance or counterweight is usually used to lift a load more quickly and effectively, which saves energy and reduces wear and tear on the lifting apparatus used with it.The potential energy obtained is equivalent to the work done to lift the counterweight.When the counterweight is being displaced by a force that is acting in the same direction as the applied force, the potential energy gained is equal to that distance it is working or kept.To know more about counterweight visit
https://brainly.com/question/17236917
#SPJ1
A cannonball is launched straight upwards with a velocity of vi. If the cannonball reaches a height of 1.25 km, what was the launch speed?
Answer:
Explanation:
2aS=vf^2-vi^2
vf^2=2as+vi^2
vf^2=2*9.8*1.25*10^3+vi^2
vf^2=24500vi2
√vf2=√24500vi2
vf=156.5vi
Each external force acts on the system for 10 seconds. Rank the change in momentum of each of the cart-cart systems from largest to smallest. (The label of “m” or “2 m” desginates the relative mass of each cart.)
It is possible to have some of the categories below BLANK since you may have items that are EQUAL to each other.
Put the largest as far up as you can, and the smallest as far down as you can
Answer:
thanks me later
PLEASS MARK ME AS BRAINLIEST ANSWER
what would happen if you try to put two balloons with the same charge together
Answer:
they would repel because they have the same charge. Charges that are different will stick together.
Calculate the repulsion force between the two Arkon nuclei when the distance between them is 1x10-3μm (note that the Arkon nucleus contains 18 protons) (The electric charge of one electron is 1.6x10-19C) a. 7.4x10-8N
b. 2.7X10-30N c. 7.4X10-20N d. 7.4x10-14N
The repulsion force between the two Arkon nuclei when the distance between them is 1x10⁻³μm is approximately 7.4x10⁻¹⁴N. The correct option is d. 7.4x10⁻¹⁴N.
The formula for repulsion force between two Arkon nuclei when the distance between them is given by Coulomb's law. Coulomb's law states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, the law can be expressed as F=kq1q2/r²,
Where F is the force, q1 and q2 are the charges, r is the distance between the charges, and k is the Coulomb's constant.The electric charge of one electron is 1.6x10⁻¹⁹C.
Therefore, the charge of the Arkon nucleus with 18 protons = 18(1.6x10⁻¹⁹) C = 2.88x10⁻₈⁸ CThe force between the two Arkon nuclei can be calculated using the formula above.
F=kq1q2/r²
Substituting the values we have;F = (9x10⁹)(2.88x10⁻¹⁸ C)2/(1x10⁻³ m)2F ≈ 7.4x10⁻¹⁴ N. Therefore, the repulsion force between the two Arkon nuclei when the distance between them is 1x10-3μm is approximately 7.4x10⁻¹⁴N. The correct option is d. 7.4x10⁻¹⁴N.
Learn more about repulsion force:
https://brainly.com/question/28439369
#SPJ11
Marianne designs an experiment involving electrically charged objects. She wants to know which objects will be attracted to a negatively charged balloon. Identify the test variable, the outcome variable, and the control variable for this experiment. (EVERYTHING NEEDED QUICKLY)
Test variable in this experiment would be the type of object being tested for attraction to negatively charged balloon ; Outcome variable would be whether or not the object is attracted to negatively charged balloon ; Control variable in this experiment would be negatively charged balloon.
What are test variable, outcome variable, and control variable?Test Variable: The test variable in this experiment would be the type of object being tested for attraction to negatively charged balloon. Marianne would likely test a variety of objects with different materials and shapes to see which ones are attracted to balloon.
Outcome Variable: The outcome variable would be whether or not object is attracted to negatively charged balloon. Marianne would observe each object and note whether it is attracted to balloon or not.
Control Variable: The control variable in this experiment would be negatively charged balloon. Marianne would use same balloon for each test to ensure that any differences in attraction are due to test variable (type of object) and not the balloon itself.
To know more about control variable, refer
https://brainly.com/question/26146814
#SPJ1
Relate the movement produced by seismic waves to the observations a person
would make of them as they traveled across Earth's surface.
Answer:
Theoretically it would be side to side
Explanation:
This answer is most likely to be side to side because of the tectonic plates shifting but to be honest who knows
The seismic waves which travel across Earth's surface are surface waves. The surface waves move up and down or back and forth in a circular motion.
What are seismic waves?A seismic wave can be described as a wave of acoustic energy that travels through the Earth. They form due to an earthquake, volcanic eruption, magma movement, and a large man-made explosion. Seismic waves are differentiated from seismic noise which is persistent low-amplitude vibration developing from various natural and anthropogenic sources.
The velocity of a seismic wave depends on the elasticity and density of the medium. The velocity of the waves tends to increase with depth through Earth's crust and mantle but reduces drastically going from the mantle to Earth's outer core.
Seismic surface waves travel along the surface of the earth and can be classified as a form of mechanical surface waves. These surface waves, diminish as they get further from the surface and travel more slowly than seismic body waves (P and S).
Learn more about seismic waves, here:
https://brainly.com/question/19468474
#SPJ2
Classify the phase-change scenarios according to the direction of the heat flow in each case. No net transfer of heat occurs Heat is transferred from the water to the surroundings Heat is transferred to the water from the surroundings
When working through these problems, think about the heat in terms of movement of the molecules of water.
Heat is transferred from the water to the surroundings --- water molecules slowing down.
Heat is transferred to the water from the surroundings --- water molecules heating up.
a cloud of steam condenses into liquid water - Heat is transferred from the water to the surroundings. Steam has more molecules moving around than liquid water. Therefore the molecules had to slow down, thereby transferring heat to the surroundings.a block of ice sublimates into water vapor - Heat is transferred to the water from the surroundings --- water molecules are heating upa block of ice melts - Heat is transferred to the water from the surroundings. The water molecules are basically not moving. Therefore heat has to be introduced to the molecules, which causes the melting.a puddle of water evaporates - Heat is transferred to the water from the surroundings. The water molecules are moving in the liquid state. However, when more heat is introduced to the liquid, the molecules move more rapidly and evaporate.a puddle of water freezes into ice - Heat is transferred from the water to the surroundings --- water molecules slowing down as they go from a liquid state to a solid state. ABOUT HEAT TRANSFERHeat transfer is the transfer of energy due to the difference of temperature between two different places. The main discussion in heat transfer is how the energy in heat can move places and the rate of transfer under certain conditions. Heat transfer includes the processes of inflow and outflow of heat. In industrial processes, heat transfer is used to achieve the required temperature in the industrial process and maintain the required temperature throughout the process.
Heat transfer from one object to another can occur by conduction, convection, and radiation. The determinant of heat transfer is the temperature difference. The direction of heat transfer starts from a medium with a high temperature to a medium with a lower temperature. Heat transfer can occur with a single process or multiple processes.
Learn more about heat transfer at https://brainly.com/question/13433948.
#SPJ4
Which of these can help determine air pressure? a. wind speed of the airb. moisture in the airc. temperature of the aird. cloud patterns in the air
Answer:
wind speed
Explanation:
My question is attached!
Why is the gravitational
force that a friend
exerts on you less than
the gravitational force
exerted on you by
Earth?
As compared to Earth, humans have relatively low masses, which results in a very small and negligible gravitational force.
What does gravity mean?
The force of gravity, often known as gravitation, affects every material object in the universe. The force of gravity tends to draw any two objects or particles with nonzero mass toward one another. From subatomic particles to galaxy clusters, gravity affects things of all sizes.
The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.
To learn more about gravity use link below:
https://brainly.com/question/557206
#SPJ1
if the mass of the child and sled is 32 kg , what is the magnitude of the average force you need to apply to stop the sled? use the concepts of impulse and momentum
the magnitude of the average force required to stop the sled is 16 times the velocity of the sled in meters per second.
To calculate the magnitude of the average force required to stop the sled, we can use the concept of impulse and momentum. The equation that relates these two concepts is:
FΔt = mΔvwhere F is the force, Δt is the time interval during which the force is applied, m is the mass of the object, and Δv is the change in velocity.Let's assume that the sled was initially moving with a certain velocity v and that you want to bring it to a complete stop.
The final velocity of the sled will be 0 m/s. Since the mass of the child and sled is 32 kg, we can use the following equation to calculate the average force required to stop the sled:
FΔt = mΔvF Δt = (32 kg) (- v)F Δt = -32v
To determine the value of F, we need to know the time interval Δt during which the force is applied. If we assume that it takes 2 seconds to bring the sled to a stop, then:
F (2 s) = -32vF = -16v Newtons
Therefore, the magnitude of the average force required to stop the sled is 16 times the velocity of the sled in meters per second.
learn more about velocity here
https://brainly.com/question/25749514
#SPJ11
what is 404.2 rounded to the nearest ten thousandth?
Answer:
The answer to your question is 404.2000
3. Gravitational potential energy depends on the ____ and _____ of the object
newton's law of universal gravitation
Explanation:
The gravitational force exerted on an object by another is equal to that which the other exerts on it.
F=GMm/r²
G=6.67x10-¹¹Nm²/Kg²
r= 80cm=0.8m
F= [6.67x10-¹¹ x 70 x 55]/0.8²
F= 4 x 10^-7N.
how to create or build a homemade golf club. is this possible? If so, what suggestion did you find? Do you have an original idea on how to build a homemade golf club? what types of materials and tools would you need? what skills are necessary to construct the club?
Answer:
All you need is golfing equipment make a small hole in the ground and have like something to cover the sun off of you and boom you got a golfing spot and a golf club no skills needed. Oh and you need a small flag for your gold hole but then your good and you can have fun
Explanation:
A ____ is believed to occur when energy, stored in a twist in the solar magnetic field above a sunspot, is suddenly released.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
A solar flare is believed to occur when energy, stored in a twist in the solar magnetic field above a sunspot, is suddenly released.
When we stretch rubber bands using fingers. The net force exerted on the fingers by the bands
a) may increase with number
b)decrease with number
c) become zero
d)sometimes become zero
When we stretch rubber bands using fingers, the net force exerted on the fingers by the bands d) sometimes becomes zero. Hence, option d) is the correct answer.
When a rubber band is stretched, the tension in the band is created. The tensile force is a force that acts on the opposite side of an object that is pulled by the force.
When we stretch the rubber band using fingers, the force is created in opposite directions, and hence the net force acting on fingers is zero. Therefore, the net force exerted on the fingers by the bands sometimes becomes zero.
When the rubber band is stretched, the tension is increased, which causes the force applied to fingers to increase. However, as the fingers are not in motion, there is no acceleration. Hence, there is no force required to oppose the motion. So, the net force exerted on the fingers is zero.
Therefore, sometimes the net force exerted on the fingers by the bands becomes zero.
The correct option is (d) sometimes become zero.
To know more about net force, refer
https://brainly.com/question/14361879
#SPJ11
Vector C is 6.28 m long in a105° direction. Vector D is3.09 m long in a 233° direction.Find the magnitude of theirvector sum.
The magnitude of the vector sum = 5.01 m
Explanations:Step 1: Find the horizontal and vertical components of vector C
\(\begin{gathered} \text{The horizontal component: C}_x=\text{ }6.28\cos 105 \\ C_x=\text{ }-1.625m \\ \text{The vertical componet: C}_y=\text{ 6.28}\sin 105 \\ C_y=\text{ }6.066m \end{gathered}\)Step 2: Find the horizontal and vertical components of vector D
\(\begin{gathered} \text{The horizontal component: D}_x=\text{ 3.09}\cos 233 \\ D_x=\text{ }-1.86m \\ \text{The vertical componet: D}_y=\text{ 3.09}\sin 233 \\ D_y=\text{ }-2.468m \end{gathered}\)Step 3: The vector sum (A) is found by adding the x and y componets of vectors C and D
\(\begin{gathered} A_x=C_x+D_x \\ A_x=\text{ -1.625 + (-1.86)} \\ A_x=\text{ }-3.485m \end{gathered}\)\(\begin{gathered} A_y=C_y+D_y \\ A_y=\text{ 6.066+}(-2.468) \\ A_y=\text{ }3.598m \end{gathered}\)The vector sum is therefore:
\(\begin{gathered} A=A_xi+A_yj \\ V\text{ = }-3.485i+3.598j \end{gathered}\)Step 4: The magnitude of the vector sum is therefore:
\(\begin{gathered} |V|\text{ = }\sqrt[]{(-3.485)^2+(3.598)^2} \\ |V|\text{ = }\sqrt[]{25.09} \\ |V|\text{ = }5.01 \end{gathered}\)The magnitude of the vector sum = 5.01 m
Monochromatic ultraviolet light with intensity 550 W /m² is incident normally on the surface of a metal that has a work function of 3.44 eV . Photoelectrons are emitted with a maximum speed of 420 km / s . (c) How do you suppose the actual current compares with this maximum possible current?
The actual current generated by photoelectrons emitted from a metal surface is typically less than the maximum possible current. Several factors, such as the intensity of incident light, the work function.
The maximum kinetic energy of emitted photoelectrons is given by the equation KE = hf - Φ, where KE is the kinetic energy, hf is the energy of the incident photons (determined by the frequency f of the light), and Φ is the work function of the metal.
In this scenario, the maximum speed of the photoelectrons is given as 420 km/s. We can convert this to m/s, which is approximately 420,000 m/s. The actual current generated depends on the number of photoelectrons emitted and their kinetic energies. The current is determined by the rate at which these photoelectrons flow through a circuit.
To compare the actual current with the maximum possible current, we need to consider additional factors such as the efficiency of the photoelectric effect, which accounts for factors like surface conditions and electron scattering within the metal. Due to these factors, the actual current is typically less than the maximum possible current.
Therefore, the actual current generated by the emitted photoelectrons is expected to be less than the maximum possible current, considering the various factors that influence the photoelectric effect.
Learn more about photoelectric here:
https://brainly.com/question/33463799
#SPJ11
an excess positive charge of 7.98 c is transferred to an isolated spherical conductor of radius =11.9 cm . what is the surface charge density on the sphere? type your answer here
The surface charge density on the sphere is 44.84 C/m².
The surface charge density, denoted by σ, is defined as the amount of charge per unit surface area. To find the surface charge density on the sphere, we need to divide the total charge on the sphere by its surface area.
The total charge on the sphere is given as 7.98 C. The surface area of a sphere is given by the formula:
A = 4πr²
where r is the radius of the sphere. Substituting the given values, we get:
A = 4π(0.119 m)² = 0.178 m²
So, the surface charge density is given by:
σ = Q/A
where Q is the total charge on the sphere. Substituting the given values, we get:
σ = 7.98 C/0.177 m² = 44.84 C/m²
Therefore, the sphere has a surface charge density of 44.84 C/m².
Learn more about surface charge density here: https://brainly.com/question/17617839.
#SPJ11
Hi! I have answered them but can someone review them and tell me if I am correct plssssssss and thank you!
Explanation:
yes, you are correct in both cases.
this is in one hand exactly the definition of science (science tries to find out how the natural world works and hence how we can use that in our favor), and on the other hand exactly the problem when dealing not just with general behavior but exact results in natural systems.
mother nature "hates" exact results. it works by chance and by the law of big numbers and tendencies (only with many, many comparable events can you see a tendency of the system). when you observe the behavior of one horse in a situation, you still know nothing about how horses behave. only after observing many horses in the same situation can you see a pattern emerging.
flipping a coin 4 times will usually not show the expected 50/50 pattern of heads and tails. but 100 or 1000 flips will start to show the tendency. but they will still not have an exact and as such repeatable result and will almost never produce the limit of the tendency of a 50/50 split of results.
A layer of benzene (n=1.5) that is 300 nm thick is floating on water (n=1.33). There is air above the benzene. For normal incidence to the surface of the benzene, what is the largest wavelength of visible light in air for which there will be destructive interference between the light reflected from the top and bottom surfaces of the benzene layer? (Assume that the range of visible wavelengths in air is 400 nm to 700 nm)
The largest wavelength of visible light in air for which there will be destructive interference between the light reflected from the top and bottom surfaces of the benzene layer is 524 nm.
Let's find out how to calculate the given problem:-
Step 1: Calculate the Path difference:-
The path difference will be the distance between the top and bottom surfaces of the layer of benzene. As light travels faster through air than it does through the benzene layer or water, we only need to consider the thickness of the layer of benzene and the water beneath it.
Path difference = 2t(n1 - n2).
Where, t is the thickness of the layer of benzene = 300 nm,
n1 is the refractive index of air = 1,
n2 is the refractive index of water = 1.33
Path difference = 2 × 300 × (1 − 1.33) = -198 nm
Step 2: Calculate the largest wavelength of visible light:-
For destructive interference, the path difference should be an odd multiple of half the wavelength of light. Since light travels fastest through air, we must use the refractive index of air in this formula.
λ/2 = -path difference/(2n) = -(-198 nm)/(2 × 1)λ = 2 × 198 nm = 396 nm.
The largest wavelength of visible light in air for which there will be destructive interference between the light reflected from the top and bottom surfaces of the benzene layer is 396 nm. However, this is not in the given range of visible wavelengths, which is 400 nm to 700 nm.
Therefore, the actual largest wavelength of visible light is:λ = 2 × 198 nm = 396 nm + 128 nm = 524 nm.
To know more about destructive interference, visit:- https://brainly.com/question/23594941
#SPJ11
13) Un móvil A parte de una ciudad a las 12 horas, con una velocidad de 40 Km/h. 2 horas después parte otro con una velocidad de 60 Km/h. Averiguar a qué hora se encuentran y a que distancia de la ciudad
Answer:
¿Podrías poner la pregunta en inglés por favor?
Explanation:
a spacecraft traveling out of the solar system at a speed of 0.95c sends back information at a rate of 1400 khz. at what rate do we receive the information
Due to the relative speed of the spacecraft with regard to the observer, information sent back from the spacecraft at a rate of 1400 kHz is received at a lower rate. The rate at which information is received is reduced due to time dilation, which is the slowing of time perceived by a moving object as seen by a stationary observer. The greater the temporal dilation, the faster the item moves.
Time dilation occurs in this example because the spacecraft is travelling at 0.95 times the speed of light. This means that time appears to move slower on the spacecraft than it does to a stationary observer. As a result, the frequency of information received from the spacecraft is likewise reduced. Because of this consequence, the rate at which we get information will be lower than 1400 kHz.
Finally, the rate at which information is received is affected by the speed of a spacecraft relative to an observer. When a spacecraft travels at a substantial fraction of the speed of light, time dilation causes the spacecraft to receive information at a decreased rate.
For more such questions speed.
https://brainly.com/question/28224010#
#SPJ11
Introduction:
The speed of light is a fundamental constant in physics and is considered to be the highest speed at which information can travel. It is the speed at which electromagnetic radiation (including light) propagates through a vacuum. In this scenario, a spacecraft is traveling at a speed close to the speed of light, sending back information at a certain frequency.
Explanation:
According to the theory of special relativity, objects moving at high speeds experience time dilation, which means that time appears to pass more slowly for the object relative to an observer at rest. The same goes for the frequency of electromagnetic radiation. When the spacecraft is traveling at a high speed, the frequency of the electromagnetic radiation it emits will appear to be lower to an observer at rest.
This effect is known as the Doppler shift, and it affects both the frequency and wavelength of the emitted radiation. The rate at which we receive the information from the spacecraft is given by the formula:
f' = f * (√(1 - v^2/c^2))
Where f is the frequency of the radiation as emitted by the spacecraft, v is the speed of the spacecraft relative to the observer, and c is the speed of light.
In this scenario, the spacecraft is traveling at a speed of 0.95c, so v = 0.95c. Plugging these values into the formula gives us:
f' = 1400 kHz * (√(1 - (0.95c)^2/c^2)) = 1400 kHz * (√(1 - 0.9025)) = 1400 kHz * (√(0.0975)) = 1400 kHz * 0.3117 = 436.8 kHz
So, we receive the information from the spacecraft at a rate of 436.8 kHz.
Conclusion:
This example illustrates the effect of time dilation and the Doppler shift on the frequency of electromagnetic radiation as seen by an observer at rest. It shows that when a spacecraft travels at high speeds, the frequency of the radiation it emits appears to be lower to an observer at rest, due to the effect of time dilation on the frequency.
Here you can learn more about electromagnetic radiation
https://brainly.com/question/10759891#
#SPJ11
1. (a) Beams of red light of wavelength 700 nm and green light of wavelength 550 nm are incident
normally on a diffraction grating which has 5000 lines per cm. Bright spots (maxima) are
observed on a distant screen.
(i)
-You can use it in microwaves
State one use of a diffraction grating, measure wavelengent
(ii)
Show clearly that the grating spacing. d is 2-0 x 10 m.
20x10 -1
53-9°
(iii) Show clearly which of the two colours would give a second order maximum at an
131
angle of diffraction between 33 and 34°.
*****
=
The green light of wavelength would
give a second order maximum because
It has a shorter wavelength so the
diffraction will meet on the obstacks.
(b) (i) Show that the maximum order possible is given by
(ii) Determine the maximum order for
(1) the green light,
550 =
2
(II) the red light.
HIT
275
J21
11
[
700nm
350
2
(iii) Assuming that the diffracted beams from both lights only overlap at n = 0, determine
the total number of bright spots which can be observed.
JM
For beams of red light and green light:
(a) (i) Used to separate light into its component colors, as in a spectrometer or a monochromator.
(ii) spacing of the grating is 2 x 10⁻⁵ m.
(iii) At that angle, green light would give a second-order maximum
(b) (i) maximum order possible is m_max = Nd/λ
(ii) for green light: 14, for red light: 11
(iii) total number of bright spots is 369.
How to calculate diffraction?(a)(i) A diffraction grating can be used to separate light into its component colors, as in a spectrometer or a monochromator. It can also be used for wavelength measurement, such as in the determination of the atomic spectra.
(ii) The formula for the diffraction of light by a grating is:
dsinθ = mλ
where d is the spacing between the lines on the grating, θ is the angle of diffraction, m is the order of the maximum, and λ is the wavelength of the light.
For the first-order maximum (m=1:
d sin θ = λ
For red light of wavelength λ = 700 nm and a grating with 5000 lines per cm:
d = 1/5000 cm = 2 x 10⁻⁵ m
Plugging in the values:
2 x 10⁻⁵ m x sin θ = 700 x 10⁻⁹ m
sin θ = 0.033
θ = 1.9°
For green light of wavelength λ = 550 nm:
sin θ = 0.033
θ = 1.9°
So the spacing of the grating is 2 x 10⁻⁵ m.
(iii) The formula for the angle of diffraction for the mth order maximum is:
sinθ = mλ/d
For the second-order maximum (m=2) and a diffraction angle between 33 and 34°:
sinθ = 2 x 550 x 10⁻⁹ m / 2 x 10⁻⁵ m
sinθ = 0.11
θ = 6.4°
So the green light would give a second-order maximum at this angle.
(b)(i) The maximum order possible is given by:
m_max = Nd/λ
where N is the total number of lines on the grating.
(ii) For the green light (λ = 550 nm):
m_max = (5000 cm⁻¹ x 0.01 m/cm x 550 x 10⁻⁹ m⁻¹) / 1
m_max = 14
For the red light (λ = 700 nm):
m_max = (5000 cm⁻¹ x 0.01 m/cm x 700 x 10⁻⁹ m⁻¹) / 1
m_max = 11
(iii) Assuming the diffracted beams from both lights only overlap at m = 0, the total number of bright spots which can be observed is:
N_bright = (m_max + 1)²
For the green light:
N_bright = (14 + 1)² = 225
For the red light:
N_bright = (11 + 1)² = 144
So the total number of bright spots which can be observed is 225 + 144 = 369.
Find out more on diffraction grating here: https://brainly.com/question/13104464
#SPJ1