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
Neko [114]
3 years ago
10

The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm (red) and 486 nm (blue). Light f

rom a hydrogen lamp illuminates a diffraction grating with 550 lines/mm , and the light is observed on a screen 1.7 m behind the grating.
What is the distance between the first-order red and blue fringes?
Express your answer to two significant figures and include the appropriate units.
Physics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

Δd = 7.22 10⁻² m

Explanation:

For this exercise we must use the dispersion relationship of a diffraction grating

           d sin θ = m λ

let's use trigonometry

           tan θ = y / L

     

how the angles are small

           tant θ = sinθ  /cos θ = sin θ

we substitute  

           sin θ = y / L

          d y / L = m λ

          y = m λ L / d

let's use direct ruler rule to find the distance between two slits

           

If there are 500 lines in 1 me, what distance is there between two lines

         d = 2/500

        d = 0.004 me = 4 10⁻⁶ m

diffraction gratings are built so that most of the energy is in the first order of diffraction m = 1

let's calculate for each wavelength

λ = 656 nm = 656 10⁻⁹ m

         d₁ = 1 656 10⁻⁹ 1.7 / 4 10⁻⁶

         d₁ = 2.788 10⁻¹ m

λ = 486 nm = 486 10⁻⁹ m

         d₂ = 1 486 10⁻⁹ 1.7 / 4 10⁻⁶

         d₂ = 2.066 10⁻¹ m

the distance between the two lines is

         Δd = d1 -d2

         Δd = (2,788 - 2,066) 10⁻¹

         Δd = 7.22 10⁻² m

You might be interested in
When time is measured in​ days, the decay constant for a particular radioactive isotope is 0.16. Determine the time required for
san4es73 [151]

Answer:

The time take is  t = 1.3964 \ days

Explanation:

From the question we are told that

    The decay constant is  \lambda  = 0.16

     The percentage fall is  c =  0.80

The equation for radioactive decay is mathematically represented as

               N(t) =  N_o  * e^{- \lambda t  }

Where is N(t) is the new amount of the new the isotope while N_o is the original

At initial  N_o =  100%  = 1

At N(t ) =  80%  = 0.80  

       0.80 =  1 * e^{- 0.16 t }

=>     -0.223 =  -0.16 t

=>     t = 1.3964 \ days

5 0
3 years ago
Read 2 more answers
A physical property that describes how something feels<br> Is called?
zubka84 [21]
It's called texture, meaning how something feels.
7 0
3 years ago
A car travels along a clear 10.0 km section of motorway in 6.0 minutes. It then drives through 3.0 km of roadwork in 3.0 minutes
Charra [1.4K]
  • 6min=1/10h=0.1h
  • 3min=1/20h=0.05h

\\ \bull\tt\dashrightarrow Avg\:Speed=\dfrac{Total\:Displacement}{Total\:Time}

\\ \bull\tt\dashrightarrow Avg\:Speed=\dfrac{10+3}{0.1+0.05}

\\ \bull\tt\dashrightarrow Avg\:Speed=\dfrac{13}{0.15}

\\ \bull\tt\dashrightarrow Avg\:Speed=86.6km/h

5 0
2 years ago
Using the set-up seen here, Ms. Garcia places a golf ball between the globe and the flashlight. Turning off the lights in the ro
Julli [10]
This is a solar Eclipse.  
7 0
3 years ago
A garage door opener has a power rating of 350 watts.
Lelechka [254]
We Know, Power = Energy/Time
Substitute the known value. which is P = 350 watt, & T = 30 sec
350 = E/30 
E = 350 * 30
E = 1050 Joules.

So, your answer is 1050 Joules.
Hope this helps! Keep studying! 
6 0
3 years ago
Read 2 more answers
Other questions:
  • What happens when the number of protons in an atom changes
    6·1 answer
  • Select the correct answer from each drop-down menu.
    8·2 answers
  • What is earth's average distance from the sun called?
    13·2 answers
  • Examine the scenario.
    14·2 answers
  • What unit is used to measure the amount of energy that people get from food?
    15·1 answer
  • Name at least two clouds types in each level, with their characteristics:
    7·2 answers
  • What are the connective cells
    7·1 answer
  • What is the acceleration of a car moving in a straight line at a constant velocity of 50 km/hr for 10 seconds?
    13·1 answer
  • A 100.0-kg bakery sign hangs from two thin cables as shown.
    9·1 answer
  • wo ships, one 200200 metres in length and the other 100100 metres in length, travel at constant but different speeds. When trave
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!