Interference pattern of light through a grating

In summary, the conversation is about a request for help in solving an equation involving monochromatic light, a diffraction grating, and an interference pattern. The specific question asks for the distance of the first order maximum from the central maximum. The conversation also includes a list of variables and formulas for solving the problem.
  • #1
the ogre
2
0
can someone please solve this equation

Monochromatic light with a frequency of 6.50 x 10^14 hz is directed on a diffraction grating ruled with 4.00 x 10^4 lines/m. An interference pattern is produced on a screen 1.10m from the grating. How far is the 1st order maximum from the central maximum?
 
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  • #2
the ogre said:
can someone please solve this equation

Monochromatic light with a frequency of 6.50 x 10^14 hz is directed on a diffraction grating ruled with 4.00 x 10^4 lines/m. An interference pattern is produced on a screen 1.10m from the grating. How far is the 1st order maximum from the central maximum?
Welcome to PF. First of all, this is not an equation. Second, we can help you solve a problem. You just have to show us what you have done to solve it and then we can help you.

AM
 
  • #3
l= 1.10m
d=______
n=______
x= ?
f= 6.50 x 10^14
(lamda) =_______

Formulas:

v = (lamda)f

(lamda) = dx/nl


umm sorry but I am not very good with physics
one of my friends has asked me to help with this euqation
but
im just a chemistry guy
 

FAQ: Interference pattern of light through a grating

What is an interference pattern of light through a grating?

An interference pattern of light through a grating is a phenomenon where light passes through a grating, which is a series of evenly spaced parallel slits, and creates a pattern of bright and dark fringes on a screen placed behind the grating. This pattern is a result of the waves of light interfering with each other as they pass through the slits.

How is the interference pattern affected by the distance between the slits on the grating?

The distance between the slits, also known as the grating spacing, affects the interference pattern by determining the spacing between the fringes. The smaller the grating spacing, the wider the fringes will be. This is because the smaller spacing allows for more interference between the waves passing through the slits.

How does the wavelength of light affect the interference pattern?

The wavelength of light also affects the interference pattern. Shorter wavelengths, such as blue light, result in a wider interference pattern, while longer wavelengths, like red light, produce a narrower pattern. This is due to the fact that shorter wavelengths have a higher frequency and therefore more closely spaced fringes.

Can the interference pattern of light through a grating be used to measure the wavelength of light?

Yes, the interference pattern can be used to measure the wavelength of light. By measuring the spacing between fringes and knowing the grating spacing, the wavelength of the light can be calculated using the equation λ = dsinθ, where λ is the wavelength, d is the grating spacing, and θ is the angle between the incident light and the normal to the grating.

What is the difference between a single-slit interference pattern and a grating interference pattern?

In a single-slit interference pattern, there is only one source of light and the pattern is a series of bright and dark fringes. In a grating interference pattern, there are multiple sources of light passing through the slits, resulting in a more complex pattern with multiple fringes. Additionally, the grating pattern has a higher resolution and can produce a more accurate measurement of the wavelength of light.

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