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ODBS
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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
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
yes, you are correct...I checked it myself. Cheers 
I am a student myself, I am not proficient with that topic!...I am sure others will help out! 
