Link to image relevant to this problem (Add a dot after "1h3" and "googleusercontent" -> lh3googleusercontentcom/rL6zLQRGjdYSHMfsvAN_a4E_s3MARseiAw-KmFUfP5sp5nmp3c7E43zWO9_3ZrWwez6iZQ=s108
Light of wavelength 550 nm passes through a double slit, yielding a diffraction pattern whose graph of intensity I versus angular position θ is shown in the figure. Calculate the slit width (in m).
- I plan to use the equations asin(theta) = (m)(lambda) and I_diffraction = I_max[sin(((pi)(a)(sin(theta)))/lambda)/((pi)(a)(sin(theta))/lambda)]^2
Can someone please guide me which possible values I can plug in to those equations? ...if they are even the appropriate ones to use to solve.
I can't see this photograph, but it is very sililar to this; http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/dslit.html#c1
this resource probably will be helpful http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/slits.html#c1
Thank you, and I would just like to know how you are able to post links, since this site always says that I am unable to.
I can answer that last question for you. The tutors here are allowed to post links by the web master. Only the tutors who have been cleared can do that.
To calculate the slit width using the given equations, you need to determine the known values and plug them into the equations. Let's break down the required steps:
1. Identify known values:
a. Wavelength (lambda) = 550 nm = 550 x 10^(-9) m
b. Angular position (theta) - The graph of intensity I versus angular position theta is mentioned, but since the image is not accessible, I cannot see the graph to determine specific values.
c. Intensity (I) - The intensity is not explicitly mentioned, so it might not be given directly.
2. Determine the variables that need to be solved:
a. Slit width (a) - This is the variable you need to calculate.
b. m - Integer variable representing the order of the principal maximum (m = 0, ±1, ±2, ...)
3. Substitute the known values into the equations:
a. asin(theta) = m * lambda
b. I_diffraction = I_max * [sin((pi * a * sin(theta)) / lambda) / ((pi * a * sin(theta)) / lambda)]^2
4. Solve for the slit width (a):
Since the graph of intensity I versus angular position theta is not accessible, it's challenging to determine the specific values to plug into the equations. However, you can follow these general steps to solve the problem once you have the specific values:
a. Substitute the known values for lambda, theta, and m.
b. Rearrange the equation to solve for a.
5. Plug in the values and calculate the slit width (a).
Remember, without access to the image or specific values, it's not possible to provide an exact numerical solution. However, by following these steps, you should be able to calculate the slit width once you have the necessary information.