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
Alchen [17]
3 years ago
8

In a Young's double-slit experiment, a set of parallel slits with a separation of 0.142 mm is illuminated by light having a wave

length of 576 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a fourth order bright fringe on the screen? μm (b) What is the difference in path lengths from the two slits to the location of the fourth dark fringe on the screen, away from the center of the pattern? μm
Physics
1 answer:
Alexandra [31]3 years ago
5 0

Answer:

1.152\ \mu m

1.44\ \mu m

Explanation:

d = Gap between slits = 0.142 mm

\lambda = Wavelength of light = 576 nm

L = Distance between light and screen = 3.5 m

m = Order = 2

Difference in path length is given by

\delta=dsin\theta=m\lambda\\\Rightarrow \delta=2\times 576\times 10^{-9}\\\Rightarrow \delta=0.000001152\ m\\\Rightarrow \delta=1.152\times 10^{-6}\ m=1.152\ \mu m

The difference in path lengths is 1.152\ \mu m

For dark fringe the difference in path length is given by

\delta=(m+\dfrac{1}{2})\lambda\\\Rightarrow \delta=(2+\dfrac{1}{2})\times 576\times 10^{-9}\\\Rightarrow \delta=0.00000144\ m=1.44\ \mu m

The difference in path length is 1.44\ \mu m

You might be interested in
Pluto's atmosphere. As recently observed by the New Horizons mission, the surface pressure of Pluto is about 11 microbar. The su
Komok [63]

Answer:

a) The number density is 3.623 × 10⁻³ \frac{mol}{m^{3} }

The mass of the atmosphere is 1.3 × 10²²Kg

b) The pressure is 10⁻²⁰ Millimeter of mercury

c) The mass mixing ratio is 0.0107

The partial pressure of ethane is 0.01114 Pa

Yes it is condensable because it boiling point is -88.5 C  which is equivalent to 184.5 K i.e is adding 273 to -88.5C and the temperature of the atmosphere  is 37 K.

Explanation:

The explanation is on the first and second uploaded image

4 0
3 years ago
Pls help me fast and correct ​
bekas [8.4K]

Answer:

A

Explanation:

due to position at height is the answer

4 0
2 years ago
What is the frequency of a wave with a period of 8s?
PSYCHO15rus [73]
I don’t know the answer
3 0
2 years ago
3. Tyrone wants to determine how fast a bowling ball travels when it is bowled. He uses a stopwatch to
SVEN [57.7K]
Meters would be the best way to record the length
7 0
3 years ago
Given a particle that has the velocity v(t) = 3 cos(mt) = 3 cos (0.5t) meters, a. Find the acceleration at 3 seconds. b. Find th
DiKsa [7]

Answer:

a.\rm -1.49\ m/s^2.

b. \rm 50.49\ m.

Explanation:

<u>Given:</u>

  • Velocity of the particle, v(t) = 3 cos(mt) = 3 cos (0.5t) .

<h2>(a):</h2>

The acceleration of the particle at a time is defined as the rate of change of velocity of the particle at that time.

\rm a = \dfrac{dv}{dt}\\=\dfrac{d}{dt}(3\cos(0.5\ t ))\\=3(-0.5\sin(0.5\ t.))\\=-1.5\sin(0.5\ t).

At time t = 3 seconds,

\rm a=-1.5\sin(0.5\times 3)=-1.49\ m/s^2.

<u>Note</u>:<em> The arguments of the sine is calculated in unit of radian and not in degree.</em>

<h2>(b):</h2>

The velocity of the particle at some is defined as the rate of change of the position of the particle.

\rm v = \dfrac{dr}{dt}.\\\therefore dr = vdt\Rightarrow \int dr=\int v\ dt.

For the time interval of 2 seconds,

\rm \int\limits^2_0 dr=\int\limits^2_0 v\ dt\\r(t=2)-r(t=0)=\int\limits^2_0 3\cos(0.5\ t)\ dt

The term of the left is the displacement of the particle in time interval of 2 seconds, therefore,

\Delta r=3\ \left (\dfrac{\sin(0.5\ t)}{0.05} \right )\limits^2_0\\=3\ \left (\dfrac{\sin(0.5\times 2)-sin(0.5\times 0)}{0.05} \right )\\=3\ \left (\dfrac{\sin(1.0)}{0.05} \right )\\=50.49\ m.

It is the displacement of the particle in 2 seconds.

7 0
3 years ago
Other questions:
  • When the air under the envelope is heated, the balloon lifts. Which of the following statements is true? A) hot air balloons use
    5·2 answers
  • Which is a correct statement of the second law of thermodynamics? Entropy of the universe is constantly increasing. Nature allow
    11·1 answer
  • The set of points in a plane that are equidistant from a given point form a ____.
    6·2 answers
  • Which action results from the combination of gravity and inertia working on the moon
    10·2 answers
  • "Two point charges exert a 6.50 N force on each other. What will the force (in N) become if the distance between them is increas
    6·1 answer
  • What is the name of the device that measures wind speed?
    14·2 answers
  • a proton moves in a circle of radius 0.4 when it enters a region with a magnetic field of 1.0t which points into the plane the s
    15·1 answer
  • A light beam which is amplified into a strong concetrated beam of light is known as A) a laser. B) a transistor. C) a microwave
    12·2 answers
  • The topic is finding volume. help on number 2?
    8·1 answer
  • 4. A thermos bottle has two layers, a glass layer and a vacuum layer.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!