Finding Central Maximum Width for Laser

In summary, the problem involves sending a 632.8nm laser through a single slit with a width of 0.30 mm. Using the equation asin(theta) = m lamda, it is determined that the width of the central maximum on a screen 1.0m behind the slit is 2.10x10^-3 m. In order to find the unknown height of the screen, the inverse sin function is used to find the angle theta.
  • #1
xswtxoj
87
0

Homework Statement



A laser 632.8nm is sent through a single slit of widith 0.30 mm. Wats the width of the central maximum on a screen 1.0m in the back of the slit?

Homework Equations



asin(theta) = m lamda

The Attempt at a Solution


lamda: 632.8nm

0.30 mm= 3.0 x 10^-4 m

sin(theta)= m lamda/ a
sin(theta)= 1 (632.8x10^-9)/3.0 x 10^-4 m

= 2.10x10^-3 m
 
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  • #2
xswtxoj said:

Homework Statement



A laser 632.8nm is sent through a single slit of widith 0.30 mm. Wats the width of the central maximum on a screen 1.0m in the back of the slit?

Homework Equations



asin(theta) = m lamda

The Attempt at a Solution


lamda: 632.8nm

0.30 mm= 3.0 x 10^-4 m

sin(theta)= m lamda/ a
sin(theta)= 1 (632.8x10^-9)/3.0 x 10^-4 m

= 2.10x10^-3 m


Ok you're on the right track, you found sintheta. Now use your inverse sin function and find the angle theta. Once you have that, you know the distance to the screen. Can you find a basic trig property to help you find the unknown "height" if you will of the screen? (remember, this height you find will only be half the width of the central maximum)
 
  • #3
do i inverse sin 2.10 E -3? I'm nto quick sure what to do?
 
  • #4
xswtxoj said:
do i inverse sin 2.10 E -3? I'm nto quick sure what to do?

You don't know how to turn SinTheta = x into an angle?

What Theta corresponds to SinTheta = 1/sqrt2 for example?
 

Related to Finding Central Maximum Width for Laser

1. What is the purpose of finding the central maximum width for a laser?

The central maximum width for a laser is the measure of the distance between the two points where the intensity of the laser beam is at its maximum. This information is important for determining the accuracy and precision of the laser's focus and for optimizing its performance in various applications such as laser cutting, microscopy, and holography.

2. How is the central maximum width of a laser measured?

The central maximum width of a laser can be measured using a laser beam profiler, which is a device that captures and analyzes the intensity profile of a laser beam. The profiler produces a 2D or 3D image of the beam's intensity distribution, allowing for accurate measurement of the central maximum width.

3. What factors can affect the central maximum width of a laser?

The central maximum width of a laser can be affected by several factors such as the laser's wavelength, beam diameter, beam quality, and the quality of the focusing lens. Any changes in these parameters can alter the shape and width of the laser's intensity profile, impacting the central maximum width measurement.

4. How does the central maximum width impact the performance of a laser?

The central maximum width of a laser is directly related to its focus and beam quality. A larger central maximum width can result in a less precise and less focused beam, leading to reduced performance in applications that require high precision and accuracy. Therefore, accurately measuring and optimizing the central maximum width is crucial for maximizing a laser's performance.

5. Can the central maximum width of a laser be adjusted?

Yes, the central maximum width of a laser can be adjusted by changing the laser's parameters such as the beam diameter, wavelength, and focus. This can be done by using different lenses, adjusting the laser's power, or changing the distance between the laser and the target surface. Proper adjustment of these parameters can help optimize the central maximum width and improve the laser's overall performance in various applications.

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