Young's Double-slit Equation Question

In summary, the maximum order number possible for red light (630 nm) illuminating a double slit with separation 3.0 x 10^5 m is 4.76 x 10^11. This can be calculated using the equation mλ = d*sinθ, where λ is the wavelength of light, d is the slit separation, and θ is the angle of the diffraction pattern. This equation holds true for small angles only, so the maximum value of sinθ must be used to obtain the correct answer.
  • #1
ova5676
29
0

Homework Statement


What is the maximum order number possible for red light (630 nm) illuminating a double slit with separation 3.0 x 10^5 m.

Texbook answer: 4.76 x 10^11


Homework Equations


mλ = d*sinθ
mλ = d*x/L

The Attempt at a Solution


So λ = 630 nm or 6.30 x 10^-7 m, and d = 3.0 x 10^5 m, but if you use either equation you're missing m or the angle, or x (space between bands) or L (sheet to slit distance).

I'm really confused.
 
Physics news on Phys.org
  • #2
What is the maximum value of sinθ? (mλ = d*x/L holds for small angles only.)

ehild
 
  • #3
ehild said:
What is the maximum value of sinθ? (mλ = d*x/L holds for small angles only.)

This ^^

Using this hint--and the equation with sin(theta)...no small angle approximations--you should have no problem getting the textbook answer.
 

FAQ: Young's Double-slit Equation Question

1. What is Young's double-slit experiment?

Young's double-slit experiment is a classic physics experiment that demonstrates the wave-like nature of light. It involves shining a single beam of light through two parallel slits, which then creates an interference pattern on a screen behind the slits.

2. What is the equation used in Young's double-slit experiment?

The equation used in Young's double-slit experiment is known as the Young's double-slit equation. It is given by the formula: d(sin θ) = mλ, where d is the distance between the two slits, θ is the angle of diffraction, m is the order of the interference pattern, and λ is the wavelength of light.

3. How is Young's double-slit equation derived?

The Young's double-slit equation can be derived from the principles of wave interference and diffraction. By considering the path difference between the two waves passing through the slits and using the conditions for constructive and destructive interference, the equation can be derived.

4. What is the significance of Young's double-slit equation?

The significance of Young's double-slit equation lies in its ability to accurately predict the location of interference maxima and minima in the interference pattern. This equation has been used to confirm the wave-like nature of light and is also applicable to other wave phenomena, such as sound waves and water waves.

5. How is Young's double-slit equation used in practical applications?

Young's double-slit equation is used in various practical applications, such as in the design of diffraction gratings for optical instruments, the production of holograms, and in the study of wave interference. It is also used in the field of quantum mechanics to understand the behavior of particles, such as electrons, which exhibit wave-like properties.

Similar threads

Thomas Young's double slit experiment
Replies
6
Views
4K
How Many Bright Spots Are Visible When Laser Shines Through Slits?
Replies
4
Views
914
Young's double slit experiment green laser
Replies
2
Views
2K
Thomas Young's Double-Slit Experiment Problems
Replies
1
Views
2K
Why Does Light Diminish with a Phase Difference of 5λ?
Replies
6
Views
496
HW Question regarding double-slit interference
Replies
8
Views
2K
What is the missing variable in the double slit interference pattern?
Replies
1
Views
3K
Double Slit Wave Interference - what is m?
Replies
1
Views
2K
Why Is the Angle 5.6° in Young's Double Slit Experiment?
Replies
1
Views
2K
Maxima in a diffraction grating
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top