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
allsm [11]
3 years ago
9

A thin flake of mica ( n = 1.58 ) is used to cover one slit ofa double slit interference arrangement. The central point on thevi

ewing screen is now occupied by what had been the seventh brightside fringe ( m = 7 ). If λ = 550 nm, what is thethickness of the mica?
Physics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

the thickness of the mica is 6.64μm

Explanation:

By definition we know that the phase between two light waves that are traveling on different materials (in this case also two) is given by the equation

\Phi = 2\pi(\frac{L}{\lambda}(n_1-n_2))

Where

L = Thickness

n = Index of refraction of each material

\lambda = Wavelength

Our values are given as

\Phi = 7(2\pi)L=tn_1 = 1.58n_2 = 1\lambda = 550nm

Replacing our values at the previous equation we have

\Phi = 2\pi(\frac{L}{\lambda}(n_1-n_2))7(2\pi) = 2\pi(\frac{t}{\lambda}(1.58-1))

t = \frac{7*550}{1.58-1}\\t = 6637.931nm \approx 6.64\mu m

the thickness of the mica is 6.64μm

You might be interested in
Describe a device that transforms thermal energy into<br> another useful form.<br> tes that
spin [16.1K]

Answer: heat engine

Explanation:

4 0
3 years ago
A cannon is fired from the edge of a cliff, which is 60m above the sea. The cannonball's initial velocity is 88.3m/s and it is f
wel

Answer:

a. 11.29 s b. 94.72 m/s at -39.8° c. 821.57 m​

Explanation:

a. Using y - y₀ = ut - 1/2gt² where u = vertical component of velocity = v₀sinθ where v₀ = 88.3 m/s and θ = 34.5°, y₀ = + 60 m and y = water surface = 0 m, g = 9.8 m/s² and t = time it takes the cannon to reach the water surface.

So y - y₀ = ut - 1/2gt²

y - y₀ = (v₀sinθ)t - 1/2gt²

substituting the values of the variables into the equation, we have

0 - 60 = (88.3 m/s × sin34.5°)t - 1/2 × 9.8 m/s²× t²

- 60 = 50t - 4.9t²

So, 4.9t² - 50t - 60 = 0

Using the quadratic formula to find t,

t = \frac{-(-50) +/- \sqrt{(-50)^{2} - 4 X 4.9 X -60} }{2 X 4.9} \\t = \frac{50 +/- \sqrt{2500 + 1176} }{9.8} \\t = \frac{50 +/- \sqrt{3676} }{9.8} \\t = \frac{50 +/- 60.63 }{9.8} \\t = \frac{50 + 60.63 }{9.8} or t = \frac{50 - 60.63 }{9.8} \\t = \frac{110.63 }{9.8} or t = \frac{-10.63 }{9.8} \\t = 11.29 sor -1.085

Since t cannot be negative, t = 11.29 s

b. We first need to find the impact vertical velocity component. Using

v = u - gt where u = initial vertical velocity component = v₀sinθ  and t = 11.29 s and g = 9.8 m/s². So,

v = v₀sinθ - gt

= 88.3 m/s × sin34.5° - 9.8 m/s² × 11.29 s

= 50.01 m/s - 110.64 m/s

= -60.63 m/s

Since the horizontal velocity is constant u' = v₀cosθ = 88.3 m/s × cos34.5° = 72.77 m/s.

The impact velocity is thus the resultant of the horizontal velocity and final impact velocity. So, V = √(v² + u'²)

= √((-60.63 m/s)² + (72.77 m/s)²)

= √((3676 m²/s² + 5295.48 m²/s²)

= √(8971.48 m²/s²

= 94.72 m/s

The angle θ = tan⁻¹(v/u') = tan⁻¹(-60.63 m/s ÷ 72.77 m/s) = tan⁻¹(-0.8332) = -39.8°

So the impact velocity is 94.72 m/s at -39.8°

c. The horizontal distance out from the base of the cliff that the ball strikes the water is the range, R = u't = 72.77 m/s × 11.29 s = 821.57 m​

5 0
3 years ago
Witch of the following is the correct definition of convention
iogann1982 [59]

Answer:

A is the answer .(A) is correct

3 0
3 years ago
The gap between electrodes in a spark plug is 0.060 cm. Producing an electric spark in a gasoline-air mixture requires an electr
Mandarinka [93]

Answer:

The magnitude of minimum potential difference is 1800 V

Explanation:

Given:

Electric field E = 3 \times 10^{6} \frac{V}{m}

Gap between electrodes d = 0.060 \times 10^{-2} m

For finding the minimum potential difference,

  \Delta V = E \times d

  \Delta V = 3 \times 10^{6} \times 0.060 \times 10^{-2}

  \Delta V = 1800 V

Therefore, the magnitude of minimum potential difference is 1800 V

8 0
3 years ago
Tp-3 which class of trailer hitch is best suited for a boat and its equipment weighing less than 2,000 pounds?
levacccp [35]
Trailer Hitches are categorized into a five classes I, II, III, IV and V. Trailer ratings are based on the total weight of the trailer or boat.
Class I
trailer hitch is best suited for a boat and its equipment weighing less than 2,000 pounds and class II trailer <span>hitch is best suited for a boat and its equipment weighing 2,000 pounds or greater up to 3500 pounds. Class III, IV and V have their own range.
</span>
5 0
3 years ago
Other questions:
  • Which statement is true about industrial-organizational psychologists? They apply psychological principles to the workplace. The
    7·2 answers
  • 1. The diagram below shows two pulses, each of length (I), traveling toward 1 point
    10·1 answer
  • If a hockey puck is made to slide along a straight line on a completely frictionless surface, which statement about the motion o
    15·2 answers
  • What would be a good indicator of the solubility of a substance in a solute? A. whether the substance is a solid a liquid or a g
    14·1 answer
  • suppose that the earth were moved to a distance of 0.25 AU from the sun. How much stronger or weaker would the suns gravitationa
    15·1 answer
  • Select the correct answer
    5·2 answers
  • How is matter changed from one state of matter to another? *
    7·1 answer
  • PLEASE HELP ME I AM TIMED!
    12·1 answer
  • Which two statements are true of electromagnetic waves?
    6·1 answer
  • This refers to the ability of the joints to move through a full range of motion
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!