Diffraction due to a narrorw slit

  • Thread starter Thread starter titan81
  • Start date Start date
  • Tags Tags
    Diffraction Slit
AI Thread Summary
Light with a wavelength of 490 nm creates a diffraction pattern on a screen 3.6 m away from a narrow slit, where the distance from the central maximum to the third minimum is 2 cm. To find the slit width, the relevant formula for single slit diffraction must be applied, which involves the slit width, wavelength, and the angle of the minima. The angle can be calculated using the provided distances, allowing for the determination of the slit width. Understanding the relationship between these variables is crucial for solving the problem. The discussion emphasizes the importance of using the correct formula and understanding the physical principles of diffraction.
titan81
Messages
4
Reaction score
0

Homework Statement



Light of wavelength 490 nm is incident on a narrow slit. The diffraction pattern is viewed on a screen 3.6 m from the slit. The distance on the screen between the central maximum and the third minimum is 2 cm. What is the width of the slit?

Homework Equations





The Attempt at a Solution



Not sure where I need to start. Can someone help me out
 
Physics news on Phys.org
You should have in your notes or book, a formula ("single slit diffraction")for the angular positions of the various minima. This formula has the width of slit, the wavelength of the light, the number of the minimum counted from the centre, and the sin of the angle.
You can work out the angle from the distances given in the question, so you know all the quantities bar the width of the slit.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Diffraction pattern from a grating
Replies
3
Views
836
Double slits and convex lens interference
Replies
8
Views
2K
Second bright fringe in Young's Experiment
Replies
3
Views
1K
Fraunhofer Diffraction Pattern Ratio of Power Densities
Replies
34
Views
3K
Interference Fringes in a Diffraction envelope
Replies
5
Views
3K
Number of bright fringes given by diffraction grating on a screen
Replies
6
Views
3K
What is the missing variable in the double slit interference pattern?
Replies
1
Views
4K
HW Question regarding double-slit interference
Replies
8
Views
2K
Single slit with minimum uncertainty
Replies
10
Views
9K
With the info given, what are 3 ways to calculate wavelength?
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top