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connexus.com

  • 2 years ago

Ok so on this what do I do (Please don't give me the answer I just want to know what I need to do on it) Medical X-rays, with a wavelength of about 10^-10m, can penetrate completely through your skin. Ultraviolet rays, which cause sun burn by penetrating only the top level of skin, have a wavelength about 1000 times the wavelength of an X-ray. find the wavelength of ultraviolet rays. Show your work.

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  1. terenzreignz
    • 2 years ago
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    It seems too simple, but, you just do what the problem says, and, it seems it *explicitly* says '1000 times the...' which would normally indicate that you multiply by a factor of 1000.

  2. connexus.com
    • 2 years ago
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    So I multiply 10^-10 by 1000?

  3. terenzreignz
    • 2 years ago
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    I would think so.

  4. connexus.com
    • 2 years ago
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    So its 100,000,000,000,000?

  5. terenzreignz
    • 2 years ago
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    Okay, so, what do you think \[\Large 10^{-10}\]means?

  6. connexus.com
    • 2 years ago
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    I did 10^-10 * 1000 and got 100,000,000,000,000

  7. terenzreignz
    • 2 years ago
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    How? Why? lol

  8. connexus.com
    • 2 years ago
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    Well I asked if I multiply 10^-10 * 1000 and you said you think so :P

  9. terenzreignz
    • 2 years ago
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    Yes, that's true, but how exactly did you arrive at your answer? \[\Large \left.\begin{matrix}10^{-10}\cdot 1000&=&100 \ 000 \ 000 \ 000 \ 000\\&\color{red}?&\end{matrix}\right. \]

  10. connexus.com
    • 2 years ago
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    First I multiplied out 10^-10 and got 100,000,000,000 then I multiplied it by 1000 and got 100,000,000,000,000

  11. terenzreignz
    • 2 years ago
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    Hang on, why is \[\Large 10^{-10}\]equal to 100 000 000 000

  12. connexus.com
    • 2 years ago
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    I multiplied it out

  13. connexus.com
    • 2 years ago
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    ...

  14. connexus.com
    • 2 years ago
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    Am I not suppose to do that...

  15. klimenkov
    • 2 years ago
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    What is \(a^{-1}\) ?

  16. terenzreignz
    • 2 years ago
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    Sorry... the problem here is that the exponent was negative... so it's not as straightforward as simply 'multiplying out'

  17. terenzreignz
    • 2 years ago
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    But first, @klimenkov asked you a question ^_^

  18. connexus.com
    • 2 years ago
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    |dw:1377670025131:dw|

  19. terenzreignz
    • 2 years ago
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    Okay, now what about \[\Large a^{-n}\]

  20. connexus.com
    • 2 years ago
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    |dw:1377670107287:dw|

  21. connexus.com
    • 2 years ago
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    Now can we get back to the question sorry for the rush I just have a ton of work I have to get done tonight

  22. terenzreignz
    • 2 years ago
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    Okay... well, if you could do that with the 'a' What is \[\Large 10^{-10}\] ?

  23. klimenkov
    • 2 years ago
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    Now, what is \(10^{-10}\) ?

  24. connexus.com
    • 2 years ago
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    |dw:1377670300729:dw|

  25. connexus.com
    • 2 years ago
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    Was not thinking I have had so much going on today with school

  26. terenzreignz
    • 2 years ago
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    That's right :) Now multiply THAT to 1000. And let me take the liberty of reminding you that \[\Large 1000 = 10^3\]

  27. connexus.com
    • 2 years ago
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    Ok so it equals 10^7

  28. terenzreignz
    • 2 years ago
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    No... it's the bottom exponent that's bigger...

  29. terenzreignz
    • 2 years ago
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    \[\Large 10^{-10}\cdot 10^3\] First law of exponents... when you multiply, with same base, ADD the exponents.

  30. connexus.com
    • 2 years ago
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    That's what I was doing...|dw:1377674852025:dw|

  31. terenzreignz
    • 2 years ago
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    Yes. That's right :D \[\Large \frac1{10^7}=10^{-7}\]

  32. connexus.com
    • 2 years ago
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    Thanks :)

  33. connexus.com
    • 2 years ago
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    Can you please help me on this one to? the wavelengths of visible light are between 3.8 * 10^-7m and 7.6 * 10^-7m. Are these wavelengths longer or shorter than those of ultraviolet rays? Explain On it do I need to simplify each scientific notation out and just put how I simplified them and put what one is bigger?

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