Your artist friend is designing an exhibit inspired by circular-aperture diffraction. a pinhole in a red zone is going to be illuminated with a red laser beam of wavelength 670 nm, while a pinhole in a violet zone is going to be illuminated with a violet laser beam of wavelength 410 nm. she wants all the diffraction patterns seen on a distant screen to have the same size.

for this to work, what must be the ratio of the red pinhole's diameter to that of the violet pinhole?

dred/dviolet=?

The minimum angle, I, of a light beam diffraction pattern from a circular aperture distance, D, can be calculated using the Rayleigh' criterion given as:

Explanation:

Now the min angle of the red light zone diffraction pattern will be;

 . . . . . . . . . . . . . . . . . . . .  Eqn 1

Similarly, the min angle of the violet light zone diffraction pattern will have;

 . . . . . . . . . . . . . . . . . . . Eqn 2

However, remember that, we were told that the diffraction patterns seen on the distant screen have the same size. This means that the two diffractions have the same min angle, i

i.e, I1=I2=I

By this, we can then find the ratio of the pinhole diameters (D1 and D2) of each apertures.

Comparing Eqn 1 and 2 gives,

Hence, it means that the ratio of the red pinhole diameter D1, to that of the violet pinhole D2, must be 1.633 for the diffraction patterns to work.

u can delete ur account.

1. go on google and write

2 open this and click on your profile pic and if your profile is not appearing, then u have to log in.

3. when u click on your profile pic, there appears four options on the top.

4. click on the 1st option and scroll down and go at the bottom.

5. click on edit profile.

6. there appears a option 'prefernces' and at that option at the right side , 'edit' is written.

7. click on the edit option.

8. there is a option " i want to delete my account" and click on that.

hope this u

and ur welcm

: )

in physics zero. in muscle fatigue could be high