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
kenny6666 [7]
3 years ago
7

Light of wavelength 480 nm illuminates a pair of slits separated by 0.27 mm. If a screen is place 1.7 m from the slits, determin

e the distance between the first and third dark fringes.
Physics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

  Δy = 6.05 mm

Explanation:

The double slit phenomenon is described by the expression

      d sin θ = m λ                constructive interference

      d sin θ = (m + ½) λ       destructive interference

      m = 0,±1, ±2, ...

As they tell us that they measure the dark stripes, we are in a case of destructive interference, let's use trigonometry to find the sins tea

      tan θ = y / x

      y = x tan θ

In the interference experiments the measured angle is very small so we can approximate the tangent

      tan θ = sin θ / cos θ

     cos θ = 1

     tan θ = sin θ

     y = x sin θ

We substitute in the destructive interference equation

     d (y / x) = (m + ½) λ

    y = (m + ½) λ x / d

The first dark strip occurs for m = 0 and the third dark strip for m = 2. Let's find the distance for these and subtract it

 m = 0

      y₀ = (0+ ½) 480 10⁻⁹ 1.7 / 0.27 10⁻³

      y₀ = 1.511 10⁻³ m

 m = 2

     y₂ = (2 + ½) 480 10⁻⁹ 1.7 / 0.27 10⁻³

     y₂ = 7.556 10⁻³ m

The separation between these strips is Δy

     Δy = y₂-y₀

     Δy = (7.556 - 1.511) 10⁻³

     Δy = 6.045 10⁻³ m

     Δy = 6.05 mm

You might be interested in
The sum of kinetic energy of molecules in a body is ______​
Margarita [4]
Mechanical energy is the answer
6 0
2 years ago
The motor of a washing machine rotates with a period of 28 ms. What is the angular speed, in units of rad/s?
pentagon [3]

Answer:

2π/[28 x (10^-3)]

Explanation:

Angular speed : ω=2π/T

T = 28ms = 28 x (10^-3) s

Angular speed = 2π/[28 x (10^-3)]

5 0
3 years ago
A piece of wood and a piece of steel are at the same temperature; however, the steel feels hotter. This is because the steel has
Vikentia [17]
The steel traps the heat more making it hotter,you put this twice by the way.
3 0
3 years ago
A statement made prior to an experiment, and based on little scientific evidence, is
Iteru [2.4K]
A- hypothesis
You usually write hypothesis in science it’s something that can usually be tested.

B- prediction
Made before you do an science experiment, they’re usually like what you think could happen or will happen.

C- theory
Theses aren’t used with scientific evidence, they’re usually things that people believe happened. Example: Some believe Big Foot is real. But no one will ever know because its a theory

D- is already been eliminated, not all are right.

Answer is A

Hope this helped :)
7 0
3 years ago
What do all electromagnetic waves have in common?
aev [14]
4) They have non-moving magnetic fields.
7 0
3 years ago
Other questions:
  • Safety precautions taken while determining the melting point of naphthalene using cooling curve<br>​
    6·1 answer
  • ** PLEASE PLEASE HELP A student uses the right-hand rule as shown.
    8·2 answers
  • 1. Who first published the classification of the elements that is the basis of our periodic table today?
    14·1 answer
  • What is the definition of permitted orbits ?
    5·1 answer
  • How can this sandstone become an igneous rock?
    14·1 answer
  • Some gliders are launched from the ground by means of a winch, which rapidly reels in a towing cable attached to the glider. Wha
    6·1 answer
  • g The fundamental premise of simple harmonic motion is that a force must be proportional to an object's displacement. Is anythin
    14·1 answer
  • What type of electromagnetic wave does a light bulb and a radio antenna release?
    10·1 answer
  • Please help! thank you​
    8·1 answer
  • Which of the following types of waves can transmit only through matter? Select all that apply.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!