# Find spacing between slits in a double slit experiement

• mkematt96
In summary, the conversation is about a student's attempt to solve a problem involving a cosine function. They are unsure of their solution and ask for clarification. Another person points out a potential error in the equation and suggests checking if the angle should be in radians or degrees. After making the correction, the student is able to find the correct solution.
mkematt96

## Homework Statement

2. Homework Equations
I = Imax cos^2 ((2pi/lambda)dsin(theta))

.81Imax = Imax cos^2 ((2pi/lambda)dsin(theta))[/B]

To shorten up my work I divided out the Imax

3. The Attempt at a Solution

Not sure where I am going wrong. Is the 2.65 deg not the theta I am suppose to use? I divided out the I max, square rooted both sides, took the inverse cos of the left side to cancel out the cos on the right. Then proceeded to do the algebra.

mkematt96 said:

## Homework Equations

I = Imax cos^2 ((2pi/lambda)dsin(theta))[/B]
Check your notes or textbook to see if the factor of 2 (shown in red above) should be there.

Also, when doing the calculation think about whether or not the angle obtained from the cos-1 should be in radians or degrees.

That 2 shouldn't have been in my equation. I found the calculation of inv cos (.9) in radians instead of degrees. That then gave me the correct answer. Thanks for the help!

## 1. How do I calculate the spacing between slits in a double slit experiment?

The spacing between slits in a double slit experiment can be calculated using the formula d = λL/D, where d is the slit spacing, λ is the wavelength of the light used, L is the distance from the slits to the screen, and D is the distance between the two slits. This formula is derived from the basic principles of diffraction and interference.

## 2. Does the spacing between slits affect the interference pattern in a double slit experiment?

Yes, the spacing between slits has a direct impact on the interference pattern in a double slit experiment. A larger slit spacing will result in a wider interference pattern, while a smaller slit spacing will result in a narrower interference pattern.

## 3. What is the ideal spacing between slits for a double slit experiment?

The ideal spacing between slits for a double slit experiment depends on the wavelength of the light being used and the desired interference pattern. Generally, a slit spacing that is approximately equal to the wavelength of the light will result in a clear and visible interference pattern.

## 4. Can the spacing between slits be adjusted during a double slit experiment?

Yes, the spacing between slits can be adjusted during a double slit experiment. This can be done by physically moving the slits or by using adjustable slits. However, it is important to note that any changes to the slit spacing will also affect the interference pattern.

## 5. How does changing the slit spacing affect the intensity of the interference pattern in a double slit experiment?

Changing the slit spacing in a double slit experiment can affect the intensity of the interference pattern. A larger slit spacing will result in a lower intensity, while a smaller slit spacing will result in a higher intensity. This is due to the fact that a wider slit spacing will allow for more diffraction, resulting in a smaller overall intensity of the interference pattern.

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