Wavelength of New Laser with Diffraction Grating Measurement

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In summary, to confirm the wavelength of a new laser, a scientist sets up a diffraction grating with a distance of 5.00 x 10^-6 m between slits and measures the distance from the central maxima to the second bright fringe, which is 0.33 m. Using the equations λ= xd/nL and λ= sinθ(d)/n, the scientist calculates the wavelength of the laser to be 5.5 x 10^-7 m.
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Kennedy111
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Homework Statement



To confirm the wavelength of a new laser, a scientist prepares a diffraction grating with a distance of 5.00 x 10^-6 m between slits and places it in front of the laser which is 1.50 m in front of a screen. The scientist measures the distance from the central maxima to the second bright fringe, which is 0.33 m. What is the wavelength of the laser?

d = 5.00 x 10^-6 m
L = 1.50 m
n = 2
x = 0.33m

Homework Equations



λ= xd/nL

λ= sinθ(d)/n

The Attempt at a Solution



λ = xd/nL

= (0.33m)(5.00 x 10^-6m) / (2)(1.50)
= 5.5 x 10^-7 m
 
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Looks fine. Where is your question/problem?
 

FAQ: Wavelength of New Laser with Diffraction Grating Measurement

1. What is an EMR wavelength?

An EMR (Electromagnetic Radiation) wavelength is the distance between two consecutive peaks or troughs of an electromagnetic wave. It is measured in meters or nanometers and is used to describe the size of the wave.

2. How does an EMR wavelength affect different types of radiation?

The wavelength of EMR determines its characteristics and behavior. Shorter wavelengths, such as gamma rays and x-rays, have higher energy and can penetrate through materials more easily. Longer wavelengths, like radio waves, have lower energy and can travel longer distances.

3. What is the relationship between EMR wavelength and frequency?

EMR wavelength and frequency are inversely related. This means that as the wavelength decreases, the frequency increases and vice versa. This is known as the electromagnetic spectrum, where shorter wavelengths have higher frequencies and longer wavelengths have lower frequencies.

4. How is EMR wavelength used in medical imaging?

In medical imaging, different types of EMR with specific wavelengths are used to produce images of the human body. For example, x-rays have short wavelengths and are used to create images of bones, while radio waves with longer wavelengths are used in MRI (Magnetic Resonance Imaging) scans to create images of soft tissues.

5. Can the wavelength of EMR be changed?

Yes, the wavelength of EMR can be changed through various methods such as reflection, refraction, and diffraction. In medical imaging, different techniques are used to manipulate the EMR wavelength to produce clearer and more detailed images of the body.

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