Assume that a microwave oven operates at a frequency of 1.00 * 10^11

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Discussion Overview

The discussion revolves around calculating the wavelength of radiation emitted by a microwave oven operating at a frequency of 1.00 * 10^11 s^-1. Participants explore the relationship between frequency and wavelength, focusing on the conversion of units from meters to nanometers.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant calculates the wavelength using the formula wavelength = c/v, arriving at a value of 3 * 10^19 m, and questions the conversion to nanometers.
  • Another participant suggests that the calculation may have been performed incorrectly and encourages a re-evaluation of the division.
  • There is a mention of an expected wavelength of 3 * 10^28 nm, which one participant believes is the correct answer, but others challenge this assertion.
  • Further clarification is sought regarding the correctness of the initial calculation and the conversion process.
  • One participant proposes a different value of 3 * 10^-3 m, indicating a potential alternative interpretation of the calculation.

Areas of Agreement / Disagreement

Participants express uncertainty about the correctness of the initial calculations and the expected wavelength. There is no consensus on the correct answer or the method used to arrive at it.

Contextual Notes

Participants have not resolved the mathematical steps involved in the calculation, and there are discrepancies in the expected values presented.

tica86
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Assume that a microwave oven operates at a frequency of 1.00 * 10^11 s^-1

a)what is the wavelength of this radiation in nm?

my attempt:
wavelength=c/v so 3.00 * 10 ^8/1.00 * 10^11 s^-1= 3 * 10^19m
I would have to convert to nm correct?
so 3 * 10^19 (1 * 10^-9)= 3 * 10^10 nm??

I know it's supposed to be 3 * 10^28 nm, what am I doing wrong??
 
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tica86 said:
Assume that a microwave oven operates at a frequency of 1.00 * 10^11 s^-1

a)what is the wavelength of this radiation in nm?

my attempt:
wavelength=c/v so 3.00 * 10 ^8/1.00 * 10^11 s^-1= 3 * 10^19m
Try doing that calculation again, it looks like you did not divide the numbers properly.
I would have to convert to nm correct?
Yes.
I know it's supposed to be 3 * 10^28 nm, what am I doing wrong??
That answer is incorrect as well.
 


tica86 said:
wavelength=c/v so 3.00 * 10 ^8/1.00 * 10^11 s^-1= 3 * 10^19m
Is your calculation correct ?

tica86 said:
I know it's supposed to be 3 * 10^28 nm, what am I doing wrong??
Please check again.
 


Rajini said:
Is your calculation correct ?


Please check again.

3 * 10^-3? m
 


tica86 said:
3 * 10^-3? m
Correct, you just need to convert that to nm.
 

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