1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ilya [14]
3 years ago
15

A student locates a double-slit assembly 1.40 m from a reflective screen. The slits are separated by 0.0572 mm. (a) Suppose the

student aims a beam of yellow light, with a wavelength of 589 nm, toward the slit assembly, and this makes an interference pattern on the screen. What distance (in cm) separates the zeroth-order and first-order bright fringes (a.k.a. maxima)?
Physics
1 answer:
astra-53 [7]3 years ago
7 0

Complete Question

A student locates a double-slit assembly 1.40 m from a reflective screen. The slits are separated by 0.0572 mm.

(a) Suppose the student aims a beam of yellow light, with a wavelength of 589 nm, toward the slit assembly, and this makes an interference pattern on the screen. What distance (in cm) separates the zeroth-order and first-order bright fringes (a.k.a. maxima)?

(b)

Now suppose that blue light (with

λ = 415 nm)

is used instead. What distance (in cm) will now separate the second-order and fourth-order bright fringes?

Answer:

a

The distance of separation is  z_1 - z_o = 1.44cm

b

The distance of separation is  z_4 - z_2  =  2.031cm

Explanation:

From the question we are told that

     The distance from the screen is  D = 1.40m

      The slit separation is d = 0.0572 mm = 0.0572 *10^{-3} m

       The wavelength of the yellow light is  \lambda_y = 598nm

       

The distance of a fringe from the central maxima is mathematically represented as

       z_n  = n \frac{\lambda_y D}{d}

Where n is the order of the fringe so the distance of separation between  

   The distance that separates first order from zeroth order bright fringe can be evaluated as

            z_1 - z_o = (1 - 0 ) \frac{\lambda_y D}{d}

Substituting values

          z_1 - z_o = (1 - 0 ) \frac{590*10^{-9} 1.40}{0.0572 *10^{-3}}

          z_1 - z_o = 0.0144m

Converting to cm

            z_1 - z_o = 0.0144m =  0.0144*100 = 1.44cm

b

The  wavelength of blue light is  \lambda _b

       So the distance that separates second  order from fourth order bright fringe can be evaluated as

         z_4 - z_2 = (4 - 2 ) \frac{\lambda_y D}{d}

Substituting values

        z_4 - z_2 = (4 - 2 ) \frac{415*10^{-9} 1.40}{0.0572 *10^{-3}}

        z_4 - z_2 = 0.02031 \ m

Converting to cm

            z_4 - z_2 = 0.02031m =  0.02031*100 = 2.031cm

You might be interested in
How does the law of conservation of energy apply to machines?
trasher [3.6K]
The answer is letter C
7 0
3 years ago
Read 2 more answers
1. Which statement about subatomic particles is not true?
igomit [66]

1. Protons and neutrons have the same charge.

Protons have positive charge, equal to e=+1.6\cdot 10^{-19} C, while neutrons have zero charge.

2. mass number

The mass number of an atom is equal to the sum of protons and neutrons inside its nucleus.

3. Atoms are made up of smaller particles.

According to Dalton's theory, atoms are the smallest particles that make matter, and they are indivisible and indestructible, so they are NOT made up of smaller particles.

4. a solid sphere

In Dalton's theory, atoms are not made of smaller particles, so we can think them as solid spheres.

5. J. J. Thomson

In his experiment with cathode ray tubes, JJ Thomson demonstrated the existance of the electrons, which are negatively charged particles inside the atom. In his model of the atom (plum-pudding model), Thomson thought the atom consists of a uniform positive charge and the electrons are located inside this positive charge.

6. An electron has the same amount of energy in all orbitals.

In fact, each orbital corresponds to a different energy level: the farther the orbital from the nucleus, the higher the energy of the electrons contained in that orbital.

7. A hydrogen atom in heavy water has an extra neutron.

Heavy water is a type of water that contains deuterium, which is an isotope of the hydrogen consisting of one proton and one neutron (so, one extra neutron).

8. The glowing beam was always deflected by charged plates

In his cathode's ray tube experiment, Thomson shows that the beam of unknown particles (= the electrons) were deflected by charge plates, so the particles had to be also electrically charged.

9. electrons move to a lower energy level

When electrons move from a higher energy level to a lower energy, they emit a photon (light) of energy equal to the difference in energy between the two energy levels.

10. orbital

In quantum mechanics, electrons in the atom are not precisely located, since we cannot determine their exact position and velocity at the same time. Therefore, we can only describe regions of space where the electrons have a certain probability to be found, and these regions of space are called orbitals.

11. 14

According to Dalton's theory, the proportions of the reactants must be respected in order to form the same compound. Therefore, we can write:

2 g: 4 g = X : 28 g\\X=\frac{2 g \cdot 28 g}{4 g}=14 g

12. negative charge, found outside the nucleus

Electrons are particles with negative charge of magnitude e=-1.6\cdot 10^{-19}C that orbit around the nucleus. The nucleus, instead, consists of protons (positively charged, with charge opposite to the electron) and neutrons (neutrally charged).

13. move from higher to lower energy levels

When electrons move from a higher energy level to a lower energy inside a neon atom, they emit a photon (which is light) whose energy is equal to the difference in energy between the two energy levels.

14. atomic number from its mass number

In fact:

- the atomic number of an atom (Z) is equal to the number of protons inside the nucleus

- the mass number of an atom (A) is equal to the sum of protons+neutrons inside the nucleus

Therefore, we can find the number of neutrons in the nucleus by calculating the difference between A and Z:

Number of neutrons = A - Z

15. None of them

None of these examples is a good analogy to describe the location of an electron in an atomic orbital: in fact, the position of an electron in an orbital cannot be precisely described, we can only describe the probability to find the electron in a certain position, and none of these example is an analogy of this model.

8 0
2 years ago
Which items do NOT describe possible solutions to air pollution?
bonufazy [111]

Answer:

2, 6

Explanation:

2 because if you cut down more trees you will have less items to help collect co2

6 because if you have more manufracturing more gasses will be release and moe carbon dioxcide in the air so it will slowly kill the ozone layer.

6 0
3 years ago
You are pushing a wooden crate across the floor at constant speed. You decide to turn the crate on end, reducing by half the sur
borishaifa [10]

Answer:

D. Half as great

Explanation:

Since we know that the friction force between the surface of crate and ground is given as

F_f = \mu F_n

so here we know that

\mu = friction coefficient between two surfaces which depends on the effective contact area between two surfaces

F_n = normal force due to the object

So when we turn the object on another side such that the surface area is half then the friction coefficient will become also half

So here the friction force will also reduce to half

so correct answer will be

D. Half as great

3 0
2 years ago
With which of the following does the growth rate decrease as the population gets bigger?
rosijanka [135]
Is this multiple choice because i dont see it

8 0
2 years ago
Other questions:
  • A string is tied between two posts separated by 2.4 m. When the string is driven by an oscillator at frequency 567 Hz, 5 points
    8·1 answer
  • A large truck and a compct car are both driving down the
    15·1 answer
  • How would you write the number 6,500,000,000 in scientific notation?
    5·1 answer
  • I will give the Branliest!!! In which body of water can you see your reflected image better, a pond or an ocean? Why? (Please ex
    5·2 answers
  • A 3.00 kg mass is traveling at an initial speed of 25.0 m/s. What is the
    6·1 answer
  • A car of mass 750 kg has an initial speed of 75 mph. Traveling in a straight line, its speed is increased uniformly to 120 mph i
    5·1 answer
  • A circuit has a voltage drop of 60.0 V across a 120.0 resistor that carries a current of 0.500 A. What is the power conducted by
    15·1 answer
  • Help I need help with this
    11·1 answer
  • What Would improve electric cars completely eliminate people's need for fossil fuels?
    7·1 answer
  • 50 points please help ASAP! !
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!