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Dimensions related to Planck's constant H

  1. Oct 10, 2013 #1
    Consider a system where the three fundamentally important quantities are the speed of light C with dimensions (L)/(T), Planck's constant H with dimensions (M)(L)^2/(T), and the mass of the proton M sub p with dimension (M).
    a) What combination of ratios and/or products of C, H, and M sub p will yield a new quantity of dimensions (L)?
    b) What combination of ratios and/or products of C, H, and M sub p will yield a new quantity of dimensions (T)?


    I have no idea how to figure this out. I am brand new to physics so any help would be greatly appreciated. Could you please solve the question and walk me through how you found the answer? I am a very literal learner and I need to see the answer along with how you found it.




    This is what I came up with, not sure if it's correct:

    (C^a)*(H^b)*(M^c)

    L^(a+2b)=L----> a+2b=1
    M^(b+c)= 1-----> b+c=0
    T^(a-b)=1---->a-b=0

    a=-b
    b=1
    a=-1
    c=-1

    (C^-1)*(H^1)*(M^-1)=H/C*M

    -a-b=1
    a+2b=0
    b+c=0
    b=1
    a=-2
    c=-1

    So, H/M*c*c


    part A= H/M*C
    part B= H/M*C*C
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 10, 2013 #2
    :approve: yes, you are correct....I checked it myself. Cheers :smile:
     
  4. Oct 10, 2013 #3
    Thank you! I've asked another question about fcc fraction packing for a pyramidal structure. Can you take a look at it and help me out? I'm really lost on that one.
     
  5. Oct 10, 2013 #4
  6. Oct 10, 2013 #5
    I would've if I myself had any clue!!!:tongue: I am a student myself, I am not proficient with that topic!.....I am sure others will help out! :smile:
     
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