The equation is the speed of light = wavelength * frequency right?

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SUMMARY

The equation relating the speed of light, wavelength, and frequency is confirmed as speed of light = wavelength * frequency. To find the frequency of blue light with a wavelength of 550 x 10^-9 meters, the correct formula is frequency = speed of light / wavelength. Using the speed of light in a vacuum, 2.99792 x 10^8 m/s, the calculation yields a frequency of approximately 5.45 x 10^14 Hz. Proper handling of scientific notation and calculator syntax is crucial for accurate results.

PREREQUISITES
  • Understanding of the speed of light in a vacuum (2.99792 x 10^8 m/s)
  • Knowledge of wavelength and frequency relationships in physics
  • Familiarity with scientific notation and exponent rules
  • Basic calculator usage, including proper bracket placement for operations
NEXT STEPS
  • Learn about the electromagnetic spectrum and its properties
  • Study the principles of wave-particle duality in quantum mechanics
  • Explore advanced calculator functions for scientific calculations
  • Investigate common mistakes in scientific notation and how to avoid them
USEFUL FOR

Students in physics, educators teaching light properties, and anyone interested in understanding the relationship between wavelength and frequency in electromagnetic waves.

AngelShare
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If a blue light has a wavelength of 550 x 10^-9 (550 nanometers), what is the frequency of the light?

I've went over this again and again and yet I keep messing up somewhere...

The equation is the speed of light = wavelength * frequency right?

If I'm trying to find the frequency, the equation would be the speed of light / wavelength = frequency...am I still okay or have I already messed up?:smile:

Okay, if the speed of light in a vacuum (That right there confuses me already but I decided not to delve into it...I'm gettin' tired.:zzz: ) is 2.99792 * 10^8 and the wavelength is 550 * 10^-9...then I just need to fill in the equation.

2.99792 * 10^8/550 * 10^-9 = frequency

Aye, that's a complicated thing to solve... I'm getting no where near the choice answers...

5.45 x 10^14
3.568 E -7
5.5 x 10^-7
2.99 x 10^8


I tried solving that thing about four different ways and still didn't get it right...:bugeye:
 
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AngelShare said:
If a blue light has a wavelength of 550 x 10^-9 (550 nanometers), what is the frequency of the light?
I've went over this again and again and yet I keep messing up somewhere...
The equation is the speed of light = wavelength * frequency right?
If I'm trying to find the frequency, the equation would be the speed of light / wavelength = frequency...am I still okay or have I already messed up?:smile:
Okay, if the speed of light in a vacuum (That right there confuses me already but I decided not to delve into it...I'm gettin' tired.:zzz: ) is 2.99792 * 10^8 and the wavelength is 550 * 10^-9...then I just need to fill in the equation.
2.99792 * 10^8/550 * 10^-9 = frequency

You are right till now.

AngelShare said:
Aye, that's a complicated thing to solve... I'm getting no where near the choice answers...

It's not complicated to solve. Are you using a calculator to solve this? If so, remember to put the brackets properly when you are dividing.
 
Actually, whoever choose those "distractors" was in a generous mood. Looking at the exponents pretty much gives the answer away.
 
siddharth: Are you using a calculator to solve this? If so, remember to put the brackets properly when you are dividing.

No, I tried but I kept getting "ERR: SYNTAX" and I'm guessing it had to do with the negative exponent. That's why I tried to solve it by hand.

Astronuc: try 2.99792/550 * 108/10-9= 0.00545 * 10^17

I believe that's one of the things I tried but I messed up the exponents. When dividing, I thought you were to subtract them...Oh wait, that'd still come to 17. Wow, I can't believe I made such a goofy mistake.:smile: Either way, that isn't one of the answers...

HallsofIvy: Looking at the exponents pretty much gives the answer away.

Aye, I figured this was a rather easy problem that I just wasn't getting for some odd reason...:shy:

I think I'll start this one over and try again, hopefully I'm not missing something that'll mess me up.:smile:
 
Never mind, got it...that was a stupid question.:blushing:
 

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