The motion of a transparent medium influences the speed of light. This effect was first observed by Fizeau in1851. Consider a light beam in water. The water moves with speed v in a horizontal pipe. Assume the light travels in the same direction as the water moves. The speed of light with respect to the water is c / n , where n=1.33 is the index of refraction of water.(a) Use the velocity transformation equation to show that the speed of the light measured in the laboratory frame isu = c/n (1 + nv/c / 1+ v/nc)

Answers

Answer 1

It is proved that the speed of the light measured in the laboratory frame is , u =c/n(1+ nv/c)/(1+ v/nc) .

Given ,

The motion of a transparent medium influences the speed of light .

The water moves with speed v in a horizontal pipe .

Assume that the light travels in the same direction as the water moves .

The speed of the light with respect to the water is c/n

Where n = 1.33 is the refractive index of water .

Let us assume ,

u' be the speed of light in water , in the frame moving with the water .

u' is related to the refractive index of water ,n as :

u'=c/n

where , c is the speed of light .

let , u be the speed of light in water in the lab frame .

Now , u and u' are related as : u = (u'+ v )/(1+ u'v/c^2)

Here v is the speed of water in the horizontal pipe .

we know the value of u' , so by substituting the value , we will get ,

u= (c/n+ v)/(1+cv/nc^2)

u= c/n(1+ nv/c)/(1+v/nc)

Hence , it is proved that the speed of the light measured in the laboratory frame is , u =c/n(1+ nv/c)/(1+ v/nc) .

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Related Questions

A 1kg cart is accelerating at 2 m/s2 due to a constant force. If that same net force was applied to a cart with twice as much mass, what acceleration would it have?

Answers

Answer:1m/s2

Explanation:

Write a hypothesis based on observations and scientific principles.

Answers

Answer:

An example of a hypothesis based on observation and scientific principles is:

Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.

A hypothesis is an informed prediction or a tentative statement about what you think that would occur in a scientific experiment as a result of experience from observations accepted by scientific rules and law.

A hypothesis is a testable statement obtained from the research question but questions cannot be tested directly, it is the proposed relationship between the variables that are tested.

An example of a hypothesis is:

Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.

This specifies the direction of the hypothesis because one group is faster than the other.

Explanation:

In a diffraction experiment, a laser beam incident on a single slit of width a = 0.02
mm produces a diffraction pattern on a screen 100 cm from the slit. The width of the
central maximum is 2.8 cm. What is the wavelength of the light?

Answers

The n-th place is 2×10 −4 m

The diffraction pattern's minima is

nDλ =(3−1) d

Dλ = d

2Dλ

​ d= x 3 −x

​ 2Dλ = 3×10 −3

2×0.50×6000×10 −10

=2×10 −4 m

Why do diffraction patterns occur?

Diffraction of light, as it is used to describe light, occurs more explicitly when a light wave passes by a corner or via an aperture or slit that is physically

Light is diffracted primarily as a function of wavelength (frequency), amplitude, and slit width. The incident waves must have a larger amplitude than the slit width for any diffraction to take place. Diffraction won't happen if the wave is less than the slit width.

The quantity of diffraction increases with the wave's wavelength. When the gap size is almost equal to the wavelength, the most 2×10 −4 m occurs.

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two particles, one with charge −3.77 μc and one with charge 6.91 μc, are 5.84 cm apart. what is the magnitude of the force that one particle exerts on the other?

Answers

The magnitude of the force that one particle exerts on the other = [tex]6.8644 \times 10^{13}[/tex] N

Charge of one particle,[tex]Q_1[/tex] = -3.77  μC

Charge of the other particle,[tex]Q_2[/tex]  = 6.91 μC

The opposite signs of the charges implies the presence of force of attraction between the particles.

Given distance between particles, r = 5.84 cm = 0.0584 m

Coulomb's law states that the magnitude of the force exerted between two particles is directly proportional to the product of magnitude of charges of the particle and inversely proportional to the square of the distance between the particles.

From this we can infer the equation, [tex]F=\frac{kQ_1Q_2}{r^2}[/tex]

where F is the force between the particles and k =[tex]9\times 10^9 Nm^2C^{-2}[/tex] is the Coulomb's Constant.

So F = (9 x 10^9 x 3.77 x 6.91)/(0.0584 x 0.0584)

        = [tex]6.8644 \times 10^{13}[/tex] N

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a car initially traveling at 60 km/h accelerates at a constant rate of 2.0 m/s2. how much time is required for the car to reach a speed of 90 km/h? quizlet

Answers

Time required for the car to reach a speed of 90 km/h is 4.165 seconds.

To solve for time, use the formula for time, t = d/s which means time equals distance divided by speed.4.165 sec

In light of the posed query,

Initial velocity is 60 km/h, which is 60 x 1000 / 36600, or 16.67 m/s.

90 km/h is equal to 901000/3600, or 25.

2 m/s2 for acceleration, or a.

t = time

We are also asked to determine how long it will take the car to

accelerate to its final speed of 90 km/h.

We are aware,

v = u+at

Given the values we receive,

25 = 16.67 + 2t

2t = 25-16.67

2t = 8.33

t = 8.33/2

t = 4.165 sec

Thus, the car will take 4.165 sec to attain the final velocity of 90 km/h if its acceleration is 2 m/s^2 and initial velocity is of 60 km/h.

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hi im in class and i need help!

Answers

Answer:

I think its D.

Explanation:

Can you please answer qeastion

Answers

Answer:

the mantel

Explanation:

yeeeeaaaaaaa

dynamical stability of giant planets: the critical adiabatic index in the presence of a solid core kundu, s.k., coughlin, e.r., youdin, a.n., armitage, p.j., 2021, mnras, submitted

Answers

The critical adiabatic index in the presence of a solid core dynamical stability of giant planets is called adiabatic index.

What is adiabatic index?

In warm material science and thermodynamics, the intensity limit proportion, otherwise called the adiabatic record, the proportion of explicit warms, or Laplace's coefficient, is the proportion of the intensity limit at steady strain to warm limit at consistent volume. The Adiabatic Index adding machine processes the adiabatic list ( γ) otherwise called the intensity limit proportion or proportion of explicit warms. Accordingly, for normally happening diatomic gases at close to standard circumstances, the adiabatic file can be roughly viewed as around 7/5 or 1.4. The particular intensity proportion or adiabatic list is connected with the levels of opportunity () of a gas particle by the situation.

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explain how electric motors convert electrical energy to mechanical energy​

Answers

Answer:

[tex]\rightarrow[/tex] Electric motors build energy through the interaction between magnetic fields.

Magnetic fields may be generated by passing a current through a wire. Winding that wire into a coil intensifies the sector. Wrapping the coil around an iron core can intensify it more. One is going to be of the coil are North, the other South. Reverse the flow of current through the coil. The magnetic poles can swap. Place 2 separate coils close to one another and organize them therefore one turns whereas the opposite is fastened. Then build arrangements for this within the moving coil to reverse even as the opposite poles are about to line up.

Hope it helps!<3

Which tem is the product of force and distance?
O power
O work
O net force
O acceleration

Answers

It would be work I assure you

bob hits a baseball.what two systems are working together to make this happen

Answers

Answer:

Kinetic Energy and Mechanical energy

Explanation:

revise and repeat: run a similar experiment with seeds B and C. Do seeds B and C need light to germinate? Describe your findings.

(Earth Science.)

Answers

Answer:فربما الى اغبر وابقاء على كل من اراد من دون اي نية لا اريد له الزواج او غيره او لا ربرلرل

الفيفي قثصشسيبزروت

Explanation:١٤٢٣٦٧٧٨٩

How can you determine the qualitative relationship that may exist in a set of
data?

WILL MARK BRAINLEST

Answers

Answer:

Qualitative research can identify key variables in which regards as findings. Such findings may put into a conceptual framework or a research framework, later stage, that research framework can be tested via various statistical methods such as correlation, structural equation modelling ect. Because, qualitative research do not prove any significant relationship among variables, but quantitative research do. However, based on data gathered in qualitative research, the researcher can show that there may have some relationships among variables through graphically or by using NVivo qualitative data analysis software.

Explanation:

creds to Roshan Panditharathna

You can determine the qualitative relationship that may exist in data because qualitative describes key qualities and characteristics using questionnaires, observation or interviews. On the other hand quantitative relationships are based off of numbers and are collected using graphs and charts.

can anyone help me with this question please​

Answers

Explanation:

V=u+at

where,

v=final speed

u=initial speed,(starting speed)

a=acceleration

t=time

v=u+at = 6=2+a*2

6=2+2a

2a=6-2

2a=4

a=4/2 = 2

a =2

2. to find time taken

v=u+at

25=5*2t

2t=25-5

2t=20

t=20/2

t=10sec

3. finding final speed

v=u+at

v=4+10*2

=4+20

v=24m/sec

5.v=u+at

=5+8*10

=5+80

V=85m/sev

6. v=u+at

8=u+4*2

8=u+8

U=8/8

u=1

these are your missing values

You warm your self besides a fire that you built on the beach...
Conduction
Convection
Or radiation

Answers

Answer:

Radiation

Explanation:

Radiation is the transfer of heat through waves. (Fire's hot air/waves warms you)

Not conduction because you have to come in direct contact with the fire in order to be considered conduction.

Not convection because those happen when heat causes a difference in densities, allowing substances to circulate.

Why are some objects transparent

Because .......

Some light passes through them

All light passes through them

No light passes through them

Which one is correct ?Pls help thank you

Answers

Answer:

All light pass through them

Explanation:

hope it helps u :) hv a great day

Differentiate between
joule and watt​

Answers

A watt is a unit of power equal to one joule per second
A watt equals a joule per second

Safety belts protect people in cars in the event of an accident because, according to Newton’s laws of motion, when an impact causes the car to suddenly change its motion -

A.the speed of the people always increases, since now they have not one but two forces acting on them.
B.the speed of the car always increases, giving it greater force since the mass will remain the same.
C.the car now has a greater overall mass - its own mass plus the mass of the object by which it has been struck.
D.the people in the car will continue to move in the same direction and at the same speed as before the impact.

Answers

Answer:

D :)

Explanation:

When an impact causes the car to suddenly change its motion, (D) the people in the car will continue to move in the same direction and at the same speed as before the impact.

What is Newton's first law of motion?

Newton's first law of motion states that Unless influenced by an imbalanced force, a body at rest stays at rest, and a body in motion keeps moving in a straight path at a constant pace. This law is commonly known as law of inertia and the resistance of a body to maintain its state of rest is called inertia of rest, same as, the resistance of a body to maintain its state of motion is called inertia of motion.

When a car is moving with certain speed, the car along with the people inside the car is in inertia of motion. In an event of accident, the car comes in rest in no time but the man in the car is still in inertia of motion. So, his body moves forward in the car which may cause injuries. To prevent such injuries, the people inside a car are advised to use safety belts.

So, correct answer  is option (D).

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One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280m, z = 0). (c) What If? A uniform electric field is applied to allow this particle to pass through this region unelected. Calculate the required vector electric field.

Answers

The vector electric field is [tex]-1.73 \times 10^{4} {~}\hat{j} {~}N/C[/tex] .

A stream of charged particles, such as electrons or ions, flowing through an electrical conductor or a vacuum is known as an electric current.

One long wire carries a current I = 30.0 A to the left along the x-axis. I' = 50.0 A of current is being carried by a second lengthy wire to the right along the line (y = 0.280 m, z = 0).

Now,

The charge of a particle is q = - 2.00 μC which is moving with a velocity of [tex]v = 150\hat{i} {~}Mm/s[/tex].

At y = 0.1 m the total magnetic field is:

B = 1.16 × 10⁻⁴ T

Then the force on the particle is:

F =q(v × B)

[tex]F = (-2 \times 10^{-6} )[ ( 150 \times 10^{6})\hat{j} \times (1.16 \times 10^{-4})\hat{k} ][/tex]

F = 3.47 × 10⁻² N

A uniform electric field is applied.

Then the vector electric field will be:

F = qE

3.47 × 10⁻² = (-2 × 10⁻⁶ )E

[tex]E = -1.73 \times 10^{4}{~}\hat{j} {~}N/C[/tex]

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This physics problem is kinda complicated to my small brains...
so uh how much work does it take to lift 250kg to 6 meters high

Answers

Answer:

[tex]\huge\boxed{\sf P.E. = 14700\ Joules}[/tex]

Explanation:

This work done is in the form of Potential Energy so we'll use the formula of Potential Energy.

Given Data:

Mass = m = 250 kg

Acceleration due to gravity = g = 9.8 m/s²

Height = h = 6 m

Required:

Work Done in the form of Potential Energy = P.E. = ?

Formula:

P.E. = mgh

Solution:

P.E. = (250)(9.8)(6)

P.E. = 14700 Joules

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

What is the acceleration of a 7 kg mass pushed by a 3.5 N force?

Answers

Answer:

According to Newton's second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m . This equation for acceleration can be used to calculate the acceleration of an object when its mass and the net force acting on it are known

Explanation:

2 Calculate the mass of a car that hits a wall, during an accident, with a force of 961 N and an acceleration of 31m/s2. (4D) (F = m * a) *

Answers

Answer: 31kg

Explanation:

(F=mxa)

Rearranged

M=f÷a

961÷31=31

According to Newton’s first law of motion, which of the following objects will change its motion?

A.A train pulling on another train, each with the same amount of force.
B.A bike rider on a smooth and level road, pedaling at a constant rate.
C.A chair sitting on the floor with balanced forces acting in opposite directions.
D.A ball rolling across the floor with friction acting in the opposite direction.
A ball rolling across the floor with friction acting in the opposite direction.

Answers

Answer:

D.

Explanation:

the friction will cause the ball to stop moving which is a change

Sound waves cause air to oscillate. What do light waves oscillate?​

Answers

Light waves oscillate a magnetic field and an electric field.

In a nuclear reactor, electricity is produced from

Answers

Answer:

Nuclear reactors are the heart of a nuclear power plant. They contain and control nuclear chain reactions that produce heat through a physical process called fission. That heat is used to make steam that spins a turbine to create electricity

~+lil more info!+~

What material is used to power a nuclear reactor?

uranium !

All commercial power reactors are based on nuclear fission. They generally use uranium and its product plutonium as nuclear fuel, though a thorium fuel cycle is also possible.

If car is going at a speed of 80 km/h how far will it travel in two hours

Answers

i believe the answer would be 160 km

Answer: 160 km

Explanation:

Calculate the current in the above circuit.

Answers

Answer:

4 A

Explanation:

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

Voltage (V) = 12 V

Resistance (R) = 3 Ω

Current (I) =?

From ohm's law,

Voltage (V) = Current (I) × Resistance (R)

V = IR

With the above formula, we can obtain the current flowing in the circuit as illustrated below:

Voltage (V) = 12 V

Resistance (R) = 3 Ω

Current (I) =?

V = IR

12 = I × 3

Divide both side by 3

I = 12/3

I = 4 A

Therefore, the current flowing in the circuit is 4 A.

A child rides a bicycle in a circular path withí a radius of 3.0 m. The
tangential speed of the bicycle is 2.0 m/s. The combined mass of the bicycle and the child is 43 kg.

Answers

Answer:

57.3N

Explanation:

Given parameters:

radius of the path = 3m

tangential speed  = 2m/s

mass of the bicycle and child  = 43kg

Unknown:

centripetal force  = ?

Solution:

The centripetal force is the inward force on a body round a circular path.

It is expressed as;

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

F is the centripetal force

m is the mass

v is the tangential speed

r is the radius

        F  = [tex]\frac{43 x 2^{2} }{3}[/tex]   = 57.3N

What is the mass in grams of 0.48 mol of platinum,Pt.?​

Answers

93.64 grams

Explanation:mass of platinum =number of moles x molar mass molar mass = atomic mass of any element ,0.48 ×195.084 = 93.64 grams

How can someone, like myself, share roughly 50% of their DNA with a 1st Cousin?

Your answer:​

Answers

Answer:

that's your 1st cousin which is your mom or dad's sibling's child sooo when you're that close and that related i would say that that would be the reason why.

Explanation:

hoped that helped!!

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