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

In summary, if a blue light has a wavelength of 550 x 10^-9 (550 nanometers), the frequency of the light is 5.45 x 10^14.
  • #1
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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  • #2
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.
 
  • #3
Along the lines of what siddharth mentioned,

try 2.99792/550 * 108/10-9= 0.00545 * 1017

Be careful how one treats the base (powers of 10).

Discussion of scientific notation - http://www.nyu.edu/pages/mathmol/textbook/scinot.html
 
  • #4
Actually, whoever choose those "distractors" was in a generous mood. Looking at the exponents pretty much gives the answer away.
 
  • #5
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:
 
  • #6
Never mind, got it...that was a stupid question.:blushing:
 

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

What is the equation for the speed of light?

The equation for the speed of light is c = λ * f, where c is the speed of light, λ is the wavelength, and f is the frequency.

How is the speed of light related to wavelength and frequency?

The speed of light is directly proportional to both wavelength and frequency. This means that as the wavelength or frequency increases, the speed of light also increases.

What is the value of the speed of light?

In a vacuum, the speed of light is approximately 299,792,458 meters per second (m/s). This is a constant value and is denoted by the letter c in the equation.

Why is the speed of light considered a constant?

The speed of light is considered a constant because it is the same for all observers regardless of their relative motion. This is a fundamental principle in the theory of relativity.

How is the speed of light measured?

The speed of light can be measured using various methods, such as using a laser and mirrors to measure the time it takes for light to travel a known distance. It can also be calculated by dividing the distance traveled by the time it takes for light to travel that distance.

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