What wavelength in nanometers has a frequency of 8.6x10^13 Hz? - Frequency to Wavelength Practice

What is the wavelength (in nanometers) of light having a frequency of 8.6x10^13 Hz?
How to calculate wavelength from frequency.
How to convert Hertz to nanometers.
How to convert frequency to wavelength.
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Light Calculations Practice 1.0:
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Answer Key 1.0:
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Question is credited to Chang Chemistry, 10th Edition, 7.7.a)
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[@Sunil-cc4er]

I was confused for a few hours .. and was continuously watching videos.. finally i slept some time coz of headache. Again I took the phone and started searching, came to this video and understood it..! Your reply in comment box was also awesome! Thank you so much.. I was stucked

[@alejandrozuniga1981]

Thanks from Argentina!

[@mckennasir6102]

en la multiplicación no es con 10^-9 ??? ya que es nanómetro ?? :((

[@lonelywalker6476]

Nice video

[@joshdarrisiway5230]

I dont get it in the conversion part it says different in my calculator what am i doing wrong?

[@joshdarrisiway5230]

Oh nevermind i just needed to hit ENG in the calcu-_-

[@thechemteacher]

@@joshdarrisiway5230 Glad you figured it out!

[@calipsocalypso4554]

what about if you start by converting frequency unit from Hz to nm then solve the equation. am getting a different answer

[@thechemteacher]

You cannot directly convert Hz to nm because those are units of different measurements. That would be like converting seconds to meters which you cannot do because there is no direct relationship between those units because those are units of different measurements, one being time and one being distance. Similarly in this problem, Hz is a unit of frequency while nm is a unit of wavelength. If you are getting a different answer than I did, it is not correct. However... you could first convert the speed of light from m/s to nm/s. Then use that value in the equation of c = lambda * v to end up with your answer in nm. Again, you should get the same answer as above if done correctly. Thanks for the question, hope that helps!

[@leynajuris5635]

Why mine it says 3, 500?

[@thechemteacher]

3.5x10^3 is the same as 3,500 so you are also correct.

[@khadegawzaky4731]

Why am I getting a different answer? When I divide 3.00 by 8.6 im getting 0.348 and as for the scientific notation portion im getting 10^-5 not 10^-6.

[@thechemteacher]

Yes, 3.00 / 8.6 equals 0.35, and 10^8 / 10^13 equals 10^-5. So your answer would be 0.35x10^-5 which is the same thing as writing 3.5x10^-6. 3.5x10^-6 is better scientific notation since 3.5 is in-between 1 and 10.

[@khadegawzaky4731]

@@thechemteacher Got it! thank you so much for taking the time to respond

[@norshahilaismail1688]

The last answer is wrong. It should be 3.5X10^-15nm

[@thechemteacher]

The last step is (3.5X10^-6) x (10^9) = 3.5X10^3. If you accidentally divide by (10^9) you will get the incorrect exponent of -15.

[@norshahilaismail1688]

Ohh no wonder. Thanks for telling my mistakes. And thanks now i understand this topic

[@thechemteacher]

Thanks for watching! Glad I could help!

[@danielavendano380]

:v Medio entendí, pero gracias

[@thechemteacher]

¿Tienes una pregunta?

[@danielavendano380]

Jajaja No, es porque esta en inglés:3 pero si entendí, muchas gracias