A thin film with an index of refraction of 1.50 is placed in one of the beams of a Michelson interferometer. If this causes a shift of 8 bright fringes in the pattern produced by light of wavelength 540 nm, what is the thickness of the film?

Answers

Answer 1

Answer:

The thickness of the film is 4.32 μm.

Explanation:

Given;

index of refraction of the thin film on one beam, n₂ = 1.5

number of  bright fringes shift in the pattern produced by light, ΔN = 8

wavelength of the Michelson interferometer, λ = 540 nm

The thickness of the film will be calculated as;

[tex]\delta N = \frac{2L}{\lambda} (n_2 -n_1)[/tex]

where;

n₁ and n₂ are the index of refraction on the beam

L is the thickness of the film

[tex]\delta N = \frac{2L}{\lambda} (n_2 -n_1)\\\\L = \frac{\lambda}{2} (\frac{N}{n_2-n_1} )\\\\L = \frac{540*10^{-9}}{2} (\frac{8}{1.5-1} )\\\\L = 4.32*10^{-6} \ m\\\\L = 4.32 \mu m[/tex]

Therefore, the thickness of the film is 4.32 μm.


Related Questions

A westward-moving bicycle increased its speed from 2.0m/s to 12.0m/s in 4.0 seconds. What is the magnitude and direction of the acceleration?

Answers

Answer:

2.5 m/s^2

Explanation:

Acceleration = (Final Velocity - Initial Velocity) / TIme

Acceleration = 12 - 2 / 4

=> Acceleration = 10 /4

=> Accelration = 5/2

=> Acceleration = 2.5 m/s^2

So, Acceleration is 2.5 m/s^2

The acceleration of the bicycle which is the change in the velocity of the bike with change in time will be 2.5m/s in the Westward direction

Initial speed = 2.0 m/s Final speed = 12.0 m/s

Change in time, t = 4.0 seconds

We define acceleration thus :

Acceleration = (△velocity / △time)

Change in velocity = (12 - 2) = 10 m/s

Acceleration = 10 / 4 = 2.5 m/s²

Therefore, the acceleration of the bike will be 2.5m/s² in the West direction

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One train is at the 20 Km position, another is at the 200Km position, both are approaching, the first with a speed of 30Kmh-1 and the second with a speed of 48 Kmh-1. If they leave at 7:12, what time do they cross? Answer: t = 2.30 H Time: 9:30 am.

Answers

Explanation:

The distance between them is 200 km − 20 km = 180 km.

The relative velocity is 30 km/h − (-48 km/h) = 78 km/h.

The time it takes is 180 km / (78 km/h) = 2.31 hours, or 2 hrs 18 min.

Therefore, the trains meet at 9:30 AM.

Physical Science questions that I need HELP ON

Answers

Answer:

7a. CO2 => carbon dioxide

b. H2O => water

8. The mass of carbon dioxide, CO2 plus the mass of water, H2O is equal to the mass of sugar, C6H12O6 plus the mass of oxygen, O2.

Explanation:

7. Selecting the names of the reactant.

6CO2 + 6H2O —> C6H12O6 + 6O2

From the above equation, the reactants are: CO2 and H2O

Thus, the names of the reactants are:

a. CO2 => carbon dioxide

b. H2O => water

8. Determination of masses of the CO2, H2O, C6H12O6 and O2 from the balanced equation. This can be obtained as follow:

6CO2 + 6H2O —> C6H12O6 + 6O2

Molar mass of CO2 = 12 + (2x16) = 44 g/mol

Mass of CO2 from the balanced equation = 6 x 44 = 264 g

Molar mass of H2O = (2x1) + 16 = 18 g/mol

Mass of H2O from the balanced equation = 6 x 18 = 108 g

Molar mass of C6H12O6 = (12x6) + (12x1) + (16x6) = 72 + 12 + 96 = 180 g/mol

Mass of C6H12O6 from the balanced equation = 1 x 180 = 180 g

Molar mass of O2 = 16x2 = 32 g/mol

Mass of O2 from the balanced equation = 6 x 32 = 192 g

Summary:

Mass of Reactant:

CO2 = 264 g

H2O = 108 g

Total = 372 g

Mass of Product:

C6H12O6 = 180 g

O2 = 192 g

Total = 372 g

From the above calculations,

The mass of carbon dioxide, CO2 plus the mass of water, H2O is equal to the mass of sugar, C6H12O6 plus the mass of oxygen, O2.

which formula is used to calculate average velocity?

Answers

The answer is:

the first one

The formula  to calculate average velocity is a) V (average ) = x(f) - x(i) /t(f) - t(i)

What is average velocity ?

Average velocity is a vector quantity . It is defied as the change in displacement  over a time interval .

Average velocity can be calculated as

Average velocity  = change in displacement / change in time travel

correct answer is a) V (average ) = x(f) - x(i) /t(f) - t(i)

where

x(f) = final position

x(i) = initial position

t(f) = final time

t(i) = initial time

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Mention four importance of writing the physical quantities as vectors.​

Answers

Answer:

Explanation:

Knowledge of vectors is important because many quantities used in physics are vectors. If you try to add together vector quantities without taking into account their direction you'll get results that are incorrect.

Some of the key vector quantities in physics: force, displacement, velocity, and acceleration.

An example of the importance of vector addition could be the following:

Two cars are involved in a collision. At the time of the collision car A was travelling at 40 mph, car B was travelling at 60 mph. Until I tell you in which directions the cars were travelling you don't know how serious the collision was.

The cars could have been travelling in the same direction, in which case car B crashed into the back of car A, and the relative velocity between them was 20 mph. Or the cars could have been travelling in opposite directions, in which case it was a head on collision with a relative velocity between the cars of 100 mph!

Vector is defined as a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another

What is vector quantity?

Vector is defined as a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another

Knowledge of vectors is important because many quantities used in physics are vectors. If you try to add together vector quantities without taking into account their direction you'll get results that are incorrect.

Some of the key vector quantities in physics: force, displacement, velocity, and acceleration.

An example of the importance of vector addition could be the following:

Two cars are involved in a collision. At the time of the collision car A was travelling at 40 mph, car B was travelling at 60 mph. Until I tell you in which directions the cars were travelling you don't know how serious the collision was.

The cars could have been travelling in the same direction, in which case car B crashed into the back of car A, and the relative velocity between them was 20 mph. Or the cars could have been travelling in opposite directions, in which case it was a head on collision with a relative velocity between the cars of 100 mph!

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Which of the following is an SI unit

Answers

Answer:

liter is the SI unit

idk how to explain it

An object has a height of 0.066 m and is held 0.210 m in front of a converging lens with a focal length of 0.140 m. (Include the sign of the value in your answers.)
(a) What is the magnification?
(b) What is the image height?
m

Answers

Explanation:

Given that,

Size of object, h = 0.066 m

Object distance from the lens, u = 0.210 m (negative)

Focal length of the converging lens, f = 0.14 m

If v is the image distance from the lens, we can find it using lens formula as follows :

[tex]\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{0.14 }+\dfrac{1}{(-0.21)}\\\\v=0.42\ m[/tex]

(a) Magnification,

[tex]m=\dfrac{v}{u}\\\\m=\dfrac{0.42}{(-0.21)}\\\\m=-2[/tex]

(b) Magnification, [tex]m=\dfrac{h'}{h}[/tex]

h' is image height

[tex]-2=\dfrac{h'}{0.066}\\\\h'=-2\times 0.066\\\\h'=-0.132\ m[/tex]

Hence, this is the required solution.

Scientists pose a ___ to examine cause and effect relationships.

Answers

Answer:

hypothesis

Explanation:

I think this is right I dont remember

A cheetah can accelerate from rest to 25.0 m/s in 6.22 s. What is the cheetah's average speed for the first 3.11 s of its sprint

Answers

Answer:

     18.75m/s

Explanation:

Given data

initial speed ,u= o m/s

final speed v= 25 m/s

time t= 3.11 seconds

Applying the first equation of motion we have

[tex]v= u+at\\\\v-u=at\\\\a= \frac{v-u}{t} \\\\a= \frac{25-0}{6.22} \\\\a= 4.02 m/s^2[/tex]

Also applying [tex]v=u+at[/tex] with initial speed set at 0, we can also find speed at 3.11 seconds

[tex]v=0+4.02*3.11\\v= 12.50 m/s[/tex]

Hence the average speed in the first 3.11 seconds is

[tex]\bar v= \frac{v}{2} \\\\\bar v=\frac{ 12.50}{2} \\\\ \bar v= 6.25 m/s[/tex]

Applying the expression [tex]\bar v=\bar u+at[/tex]  we can now fing the average speed in the second 3.11 second

[tex]\bar v=\bar u+at\\\\ \bar v=6.25+4.02*3.11\\\\ \bar v=18.75m/s[/tex]

What is process in which long thin strips of flexible ribbon are produced by pouring onto a flat surface?

Answers

Answer:

Tape casting

Explanation:

Tape casting is also known as knife coating. This process is used specially in the production of thin surfaces of a ceramic work.

Tape casting is also the process which which involves long thin strips of flexible ribbon being produced by pouring onto a flat surface. It is then left to dry by applying a high temperature and then ready for use.

An electron from a Ti ^ + 2 hydrogen ion leaps from one orbit with radius 13.25 angstrom to another orbit with radius 2.12 angstrom. determine the energy (Joule) e produced in said transition and the wavelength (in cm)

Answers

Answer:

    E  = 0.2276 10⁻¹⁹ J ,  λ = 8.73374 10⁻⁴ cm

Explanation:

Bohr's atomic model can be used for hydrogen-type atoms, that is, they have a single electron in their last orbit, this is the case of doubly ionized Titanium.

It is much easier to work in EV units.

          r = a₀ / Z n²

          E = - 13.606 (Z² / n²)

where ao is the Bohr radius, which is the ground state orbital of hydrogen a₀ = 0.0529 nm, Z is the atomic number of titanium, and n is an integer that represents the different states of the system.

a) Let's look for the energy, for this we look for the integer numbers of these orbits

r = 13.25 A = 1.325 nm

          r = a₀ / Z   n²

         n = √(Z r / a₀)

the atomic number of titanium is Z = 22

         n = √ (22  1.325 / 0.0529)

         n = 23

r = 2.12 A = 0.212 nm

         n = √ (22  0.212 / 0.0529)

         n = 9

now we can calculate the energy of the transition

         E = 13.606 (1 / [tex]n_{f}^2[/tex] - 1 / [tex]x_{o}^2[/tex])

         E = 13.606 (1/9² - 1/23²)

         E = 13.6060 (0.010455)

         E = 0.1423 eV

Let's reduce to J

         E = 0.1423 eV (1.6 10⁻¹⁹ J / 1eV) = 0.2276 10⁻¹⁹ J

To find the wavelength of the transition, use the Planck relation

         E = h f

the relationship of frequency and speed of light

         c = λ f

  we substitute

         E = h c /λ

         λ = hc / E

        λ = 6.626 10⁻³⁴ 3 10⁸ / 0.2276 10⁻¹⁹

        λ = 8.73374 10⁻⁶ m

       λ = 8.73374 10⁻⁴ cm

Two long wires hang vertically. Wire 1 carries an upward current of 1.20 A. Wire 2, 20.0 cm to the right of wire 1, carries a downward current of 4.20 A. A third wire, wire 3, is to be hung vertically and located such that when it carries a certain current, each wire experiences no net force.
(a) Is this situation possible?
A. Yes
B. No
Is it possible in more than one way?
A. Yes
B. No
(b) Describe the position of wire 3.
distance ________ cm
direction: left of wire 1
(c) Describe the magnitude and direction of the current in wire 3.
magnitude
direction
down

Answers

Answer:

a) NO,   YES that cable 3 should be placed to the left of cable 1

b)  a = 8cm   the current is UP

Explanation:

The force between two cables that carries a current is given through the magnetic field created between them, it has the expression

        F₁ = μ₀ I₁ I₂ / 2π a l

where I₁ and I₂ are the current in each wire, at the separation between them and l the length of wire 1 on which the force is applied.

The direction of the force this given is given by the vector product between the current in wire 1 and the field created by 2, but we can summarize it:

* if the two currents are in the same direction the force is attractive

* if the two currents are contrary, the force is repulsive

With these relationships we can examine the different situations presented

a) Between cable 1 and 3 the force is zero. If cable 1 the current is upward in cable 3 it must be downward, so that the force is repulsive

Between wire 2 and 3. If wire 2 the current is downward, in wire 3 the current must be upward, for a repulsive force.

We see that in the two conditions the current in cable 3 has different directions, which is impossible, therefore this situation cannot occur

the answer is NO

The only way this is possible is that cable 3 should be placed to the left of cable 1

Answer YES

b) and c) Your question is unclear, I interpret that you want the position of cable 3 so that the force is zero on cable 3

we will assume that the current in cables 1 and 2 is ascending and that in cable 3 is descending

We write Newton's second law at the point of cable 3, the acceleration is zero

                    F13 - F23 = 0

                    F13 = F23

Let's calculate the forces

                  F₁₃ = μ₀ I₁ I₃ /2π a    l

                  F₂₃ = μ₀ I₂ I₃ /2π (d + a)    l

we substitute and simplify

                 I₁ / a = I₂ / (d + a)

where we have assumed that the length of all cables is the same

We solve to find

                I₁ (d + a) = I₂ a

                a (I₂ - I₁) = I₁ d₁

                a = I₁ / (I₂ - I₁) d

let's calculate

                a = 1.20 / (4.2 -1.2) 20

                a = 8cm

to the left of wire 1 and the direction is the current is UP

so that it is an attractive force between 1 and 3 and a repulsive force between 2 and 3

Two particles, one with charge −7.97×10−6 C and the other with charge 6.91×10−6 C, are 0.0359 m apart. What is the magnitude of the force that one particle exerts on the other?

Answers

Answer:

-384.22N

Explanation:

From Coulomb's law;

F= Kq1q2/r^2

Where;

K= constant of Coulomb's law = 9 ×10^9 Nm^2C-2

q1 and q2 = magnitudes of the both charges

r= distance of separation

F= 9 ×10^9 × −7.97×10^−6 × 6.91×10^−6/(0.0359)^2

F= -495.65 × 10^-3/ 1.29 × 10^-3

F= -384.22N

Hydrogen atom number 1 is known to be in the 4f state. Hydrogen atom number 2 is in the 5d state.

Required:
a. What is the energy of the atom?
b. WHat is the magnitude of this atom's orbital angular momentum?
c. Hydrogen atom number 2 is in the 5d state. Is this atom's energy greater than, less than, or the same as that of atom 1? Explain.
d. Is the magnitude of the orbital angular momentum of atom 1 greater than, less than, or the same as that of atom 2? Explain.

Answers

Answer:

4f   E₄ = 0.85 eV,    L₄ = 4.22 10⁻³⁴ ,  

5d          E₅ = 0.544 eV ,    L5 = 5.28 10⁻³⁴

Explanation:

Let's use the Bohr model, stable the energy of the hydrogen atom

              E = -13.606 / n2

where Eo = 13.606 eV is the energy of the ground states.

a) the energy of each atom

level 4f

In this nomenclature enumeration is the number n

               E = -13606 / 42

               E₄ = 0.85 eV

level 5d

                E₅ = -13.606 / 5 2

                E₅ = 0.544 eV

b) The angular momentum is given in Boh's model

                     L = n h / 2pi

let's calculate

             

level 4f             L₄ = 4 6.63 10⁻³⁴-34 / 2 pi

                        L₄ = 4.22 10⁻³⁴

level 4d

                       L5 = 5 6.63 10-⁻³⁴ / 2pi

                       L5 = 5.28 10⁻³⁴

c) The hydrogen atom in state n = 5 has lower energy than the other state

d) Atom 1 has less angular momentum than atom 2

An oceanographer is studying how the ion concentration in seawater depends on depth. She makes a measurement by lowering into the water a pair of concentric metallic cylinders at the end of a cable and taking data to determine the resistance between these electrodes as a function of depth. The water between the two cylinders forms a cylindrical shell of inner radius r_a, outer radius r_b, and length L much larger than r_b. The scientist applies a potential difference Delta V between the inner and outer surfaces, producing an outward radial current I. Let rho represent the resistivity of the water.
(a) Find the resistance of the water between the cylinders in terms of L, rho, r_a, and r_b.
(b) Express the resistivity of the water in terms of the measured quantities L, r_a, r_b, Delta V and I.

Answers

Answer:

a)  R = ρ₀ L /π(r_b² - R_a²) , b)  ρ₀ = V / I    π (r_b² - R_a²) / L

Explanation:

a) The resistance of a material is given by

          R = ρ l / A

where ρ is the resistivity, l is the length and A is the area

the length is l = L and the resistivity is ρ = ρ₀

the area is the area of ​​the cylindrical shell

           A = π r_b² - π r_a²

           A = π (r_b² - r_a²)

we substitute

         R = ρ₀ L /π(r_b² - R_a²)

b) The potential difference is related to current and resistance by ohm's law

         V = i R

         

we subsist the expression of resistance

          V = I ρ₀ L /π (r_b² - R_a²)

           ρ₀ = V / I    π (r_b² - R_a²) / L

Water flows through a 0.5 cm diameter pipe connected to a 1 cm diameter pipe. Compared to the speed of the water in the 0.5 cm pipe, the speed in the 1 cm pipe is

Answers

A

Answer:

Speed of water in the 0.5cm diameter will be faster because it has a smaller area

Since area x radius ² so if radius is reduced by 0.5 speed is increased by 4times in the 0.5 diameter pipe

These spectra are from the same element. Which is an emission spectrum, which an absorption spectrum?
A. Either could be emission (or absorption), depending on the conditions with which they were made.
B. Top is absorption; bottom emission.
C. Can't tell without knowing the element.
D. Top is emission; bottom absorption.

Answers

Answer:

D. Top is emission; bottom absorption.

Explanation:

Emission and spectrum of elements are due to the element absorbing or emitting wavelength of e-m energy. Elementary particles of elements can absorb energy from a ground state to enter an excited state, creating an absorption spectrum, or they can lose energy and fall back to a lower energy state, creating an emission spectrum. A simple rule to differentiate between an emission and an absorption spectrum is that: "all absorbed wavelength is emitted, but not all emitted wavelength is absorbed."

From the image, the lines indicates wavelengths. We can see that all of the wavelengths of the bottom absorption spectrum coincides with some of the wavelength of the upper emission wavelengths.

Which of these forces help protons and neutrons to stay at the center of the Atom

Answers

Strong nuclear force

Planet Tatoone is about 1.7 AU from its Sun. Approximately how long will it take for light to travel from the Sun to Tatoone in minutes? Use 3 × 108 m/s for the speed of light.

Answers

Answer:

The value is   [tex]t =  14.129 \  minutes[/tex]    

Explanation:

From the question we are told that

  The distance of planet Tatoone is  [tex]d =  1.7 \ AU  =  1.7 *1.496* 10^{11}=2.543*10^{11} \ m[/tex]

   The  speed of light is  [tex]c =  3.0*10^{8} \  m/  s[/tex]

Generally the time taken is mathematically represented as

     [tex]t =  \frac{d}{c}[/tex]

=> [tex]t =  \frac{2.543*10^{11}}{3.0*10^{8} }[/tex]

=>    [tex]t =  847.7 \  s[/tex]

Now converting to minutes

       [tex]t =  \frac{847.7}{60}[/tex]

   =>     [tex]t =  14.129 \  minutes[/tex]    

A rectangular trough, 1.6 m long, 0.60 m wide, and 0.35 m deep, is completely full of water. One end of the trough has a small drain plug right at the bottom edge.
When you pull the plug, at what speed does water emerge from the hole?

Answers

Answer:

v = 2.61 m/s

Explanation:

Given that,

Length of a rectangular trough, l = 1.6 m

Breadth of a rectangular trough, b = 0.6 m

Depth of a rectangular trough, h = 0.35 m

We need to find the speed with which water emerge from the hole. It is a concept of efflux. The velocity of efflux is given by :

[tex]v=\sqrt{2gh}\\\\v=\sqrt{2\times 9.8\times 0.35}\\\\v=2.61\ m/s[/tex]

So, water will emerge from the hole with a speed of 2.61 m/s.

Goslo and Speedo are twins. They have just celebrated their 20th birthday (Yay!). Speedo travels to the planet Zorth which is 40 light years away, he immediately returns. Neglect any time Speedo spent accelerating. If Speedo travels at 0.997 relative to the Earth, who will measure the proper time?

a. Goslo
b. Speedo
c. Nobody
d. Everybody

Answers

Answer:

a. Goslo

Explanation:

given data

Speedo travels = 40 light year

Speedo travels relative to the Earth = 0.997

solution

Goslo will measure here proper time and this time is expres as

time T =  Speedo travels ÷ Speedo travels relative to the Earth   ..........................1

put here value

time T = [tex]\frac{40}{0.997}[/tex]

time T = 40.1 year

so Goslo will measure the proper time

Neutrons travelling at 0.400 m/s are directed through a pair of slits having 1.00 m separation. an array of detectors is placed 10.0 m from the slits.
a) What is the de Broglie wavelength of the neutrons?
b) How far off axis if the first zero-intensity point on the detector array?
c) When a neutron reaches a detector, can we say which slit the neutrons passed through? Explain.

Answers

Answer:

9.91*10^-7 m

4.955*10^-6 m

Explanation:

Given that

v = 0.4 m/s

d = 1 m

L = 10 m

h = 6.62*10^-34 Js

m(neutron) = 1.67*10^-27 kg

To find the debroglie wavelength of the neutron, we use the formula

λ = h/mv

Now, we plug in the values we have listed.

λ = 6.62*10^-34 / (1.67*10^-27 * 0.4)

λ = 6.62*10^-34 / 6.68*10^-28

λ = 9.91*10^-7 m

b)

y1 = L (m + ½) λ/d, where m = 0

y1 = L (0 + ½) λ/d

y1 = L (½) λ/d

y1 = L/2 * λ/d or

y1 = Lλ/2d

now, we substitute the values for each of them, we have

y1 = (10 * 9.91*10^-7) / (2 * 1)

y1 = 9.91*10^-6 / 2

y1 = 4.955*10^-6 m

c) no, we can not say the neuron passed through one slit

An astronaut in an inertial reference frame measures a time interval Δt between her heartbeats. What will observers in all other inertial reference fr

Answers

Answer:

It will be more than deta t

Explanation:

Because

deta t' = န deta t

But န= 1/√ (1 - v²/c²

So the observers in all the initial frames will be more than deta t

difference between far point and near point​

Answers

Answer:

Far point = is the farthest point where you can see the object

near point= is the nearest distance where you can see the object.

Explanation:

The far point of human eye is upto infinity & the near point is 25cm.

What is the difference between 103.5 and 102.24 written with the correct number of significant figures?What is the difference between 103.5 and 102.24 written with the correct number of significant figures?

Answers

Answer:

1.260

Explanation:

103.5 has 4 significant figures.

102.24 has 5 significant figures.

We will need to round the answer to the least number of significant figures available (in this case, 4).

103.5 − 102.24 = 1.26 = 1.260

The difference between 103.5 and 102.24 is equal to 1.3 in the correct number of significant figures.

What are significant figures?

Significant figures can be utilized to produce numbers that can be written in the form of figures. We can determine the number of significant figures by simply counting the values starting from the first non-zero digit placed on the left.

We can calculate the number of significant digits by counting from the first non-zero figure placed on the left. The significant digits of a given number are those significant digits, which convey the meaning with respect to its accuracy.

In the case of division or multiplication or subtraction and addition, the number of significant figures must be the same as the value with the fewest significant figures.

We have to find the difference between 103.5 and 102.24:

103.5 - 102.24 = 1.26 = 1.3

The number 103.5 has one significant figure after the decimal. Therefore, the answer will be equal to 1.3.

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a pistol fires a bullet towards a target located 175m away. The bullet is traveling at 320 m/s. How long does it take for the bullet to hit the target?

Answers

Time = distance/speed

Time = (175 m) / (320 m/s)

Time = 0.547 second

A photographer uses his camera, whose lens has a 50 mm focal length, to focus on an object 1.5 m away. He then wants to take a picture of an object that is 30 cm away.
How far must the lens move to focus on this second object?

Answers

Answer:

The distance is [tex]z = 0.008 \ m[/tex]

Explanation:

From the question we are told that

   The  focal length is  [tex]f = 50 \ mm = 50*10^{-3} \ m[/tex]

   

Generally the lens equation is mathematically represented as  

     [tex]\frac{1}{u} + \frac{1}{v} = \frac{1}{f}[/tex]

At  image  distance  u =  1.5 m

       [tex]\frac{1}{1.5} + \frac{1}{v} = \frac{1}{50 *10^{-3}}[/tex]

=>      [tex]\frac{1}{50 *10^{-3}} - \frac{1}{1.5} = \frac{1}{v}[/tex]

=>[tex]v = 0.052 \ m[/tex]

At  image  distance  [tex]u = 30\ cm = 0.30 \ m[/tex]

        [tex]\frac{1}{0.3} + \frac{1}{v_1} = \frac{1}{50 *10^{-3}}[/tex]

=>     [tex]\frac{1}{50 *10^{-3}} - \frac{1}{0.30 } = \frac{1}{v_1}[/tex]

=>    [tex]v_1 = 0.06 \ m[/tex]

The distance the lens need to move is evaluate as

   [tex]z = |v - v_1|[/tex]

   [tex]z = |0.052 - 0.06|[/tex]

   [tex]z = 0.009 \ m[/tex]

It is found that an engine rejects 100.0 J while absorbing 125.0 J each cycle of operation.
(a) What is the efficiency of the engine?
(b) How much work does it perform per cycle?

Answers

a) 0.2
b) 25 J
.........

Consider a conducting rod of length 34 cm moving along a pair of rails, and a magnetic field pointing perpendicular to the plane of the rails.

Required:
At what speed (in m/s) must the sliding rod move to produce an emf of 0.75V in a 1.75T field?

Answers

Answer:

v = 1.26 m/s

Explanation:

Given that,

Length of the conducting rods = 34 cm = 0.34 m

Magnetic field, B = 1.75 T

Induced emf is 0.75 V

we need to find the speed with which it slides. Due to the motion of the rod an emf is induced in it which is given by :

[tex]\epsilon=Blv[/tex]

v is the speed of rod

[tex]v=\dfrac{\epsilon}{Bl}\\\\v=\dfrac{0.75}{1.75\times 0.34}\\\\v=1.26\ m/s[/tex]

So, the speed of the sliding rod is 1.26 m/s.

What is the difference between
Dobereiner's triads and Newland's octaves​

Answers

Answer:

Newlands law of octave was the first logically basis on the atomic weight. Demerits of dobereiner's triads system: - This system fails because it does not hold good for all the elements discovered till date time. It is limited to only few elements.

Explanation:

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