How Do You Calculate the Frequency of Green Light from Its Wavelength?

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SUMMARY

The discussion focuses on calculating the frequency of green light emitted by a laser with a wavelength of 515 nm. The correct frequency, as per the calculations, is determined to be 5.83 x 1014 Hz using the formula V = C/λ, where C is the speed of light (3.00 x 108 m/s) and λ is the wavelength in meters. Participants clarify the importance of proper unit conversion and dimensional analysis, particularly the conversion of nanometers to meters. Misunderstandings regarding scientific terminology, particularly the distinction between "theory" and "fact," are also addressed.

PREREQUISITES
  • Understanding of the wave equation V = C/λ
  • Knowledge of unit conversion, specifically from nanometers to meters
  • Familiarity with scientific notation and exponent rules
  • Basic concepts of light properties in physics and chemistry
NEXT STEPS
  • Learn about the speed of light and its significance in electromagnetic theory
  • Study the principles of wave-particle duality in quantum mechanics
  • Explore the concept of wavelength and frequency in different contexts
  • Review scientific notation and its application in physics calculations
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Students in physics and chemistry, educators teaching wave properties, and anyone interested in the calculations related to light frequency and wavelength.

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Homework Statement


A laser used to dazzle the audience in a rock concert emits green light with a wave length of 515 nm. Calculate the frequency of the light.


Homework Equations



V = C/Lambdah

The Attempt at a Solution


http://img36.imageshack.us/img36/7982/unledpg.jpg

** In the image I forgot to knock off the "nm" after I did the dimensional analysis to convert it to m disregard it***

My answer when I put it in my calculator is what's in the image but the book has the correct answer as: 5.83 x 10^14 s

How did they get 10x^14? If the bases aren't the same what happens to the exponents?

There was another problem which was solved by the book itself:

3.00 x 10^8 m/(s/s) - **(means s cancels out)
---------------------------
4.62 x 10^14 /(s/s) - ** (means s cancels out)

= 6.49 x 10^-7 m (how did they get -7?)!


Btw, I'm doing the wavelength and frequency equation in Chemistry.
 
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When you put it into your calculator, you did {{3x10^8}\over{515}}*10^-9 to get that answer. Make sure you enclose the 10^-9 part in the denominator with parenthesis.
 
correct and I love your tagline pengwuino amazingly some physicists I know that don't believe in evolution...truly I fear for my country and the world...
 
zaldar said:
correct and I love your tagline pengwuino amazingly some physicists I know that don't believe in evolution...truly I fear for my country and the world...

Thanks. Someone else on the forum actually said it and I stole it from him to use as a signature.

Unfortunately, a couple people have said "Oh so you think evolution is fake huh!".
 
good lord...people here? Do they not understand science...? Theory in science means FACT. RAGE! Sigh...I mean theory of gravity anyone?
 
zaldar said:
good lord...people here? Do they not understand science...? Theory in science means FACT. RAGE! Sigh...I mean theory of gravity anyone?

Hmm careful, no it doesn't. In scientific context, "facts" are few and far between. A theory in science really has its own meaning that is not exactly like "fact" and far from the lay term "theory".
 

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