The Student Room Group

what are the units of cm divided by a cm-1

what would happen would it be just -1
Reply 1
Unparseable latex formula:

\dfrac{x}{x^{-1}} = x(x^{-1})^{-1} = \dddot

Reply 2
It would be a cm^2 because you're dividing cm by 1/cm, which is just cm x cm.
Original post by GGYSM
It would be a cm^2 because you're dividing cm by 1/cm, which is just cm x cm.


This is the right answer OP


Original post by alow
Unparseable latex formula:

\dfrac{x}{x^{-1}} = x(x^{-1})^{-1} = \dddot



That gives 1/x^2 which is wrong
Reply 4
Original post by ChaoticButterfly

Unparseable latex formula:

\dfrac{x}{x^{-1}} = x(x^{-1})^{-1} = \dddot




That gives 1/x^2 which is wrong


Really? Surely the last part comes to x, so then multiplying it by the first part gives x^2. It looks like it gives the same answer as the one which you have identified as correct.
Original post by Pangol
Really? Surely the last part comes to x, so then multiplying it by the first part gives x^2. It looks like it gives the same answer as the one which you have identified as correct.


I did it on some paper

Yep you are right.... I've spent to long out in the real world and my algebra has gone to **** :-/

I added the two -1 powers instead of multiplying. Although even then I still got the wrong answer doing that lol, should have been 1/x. Would have got zero marks for my working out.
(edited 6 years ago)
Reply 6
Original post by ChaoticButterfly
I did it on some paper

Yep you are right.... I've spent to long out in the real world and my algebra has gone to **** :-/

I added the two -1 powers instead of multiplying. Although even then I still the wrong answer doing that lol, should have been 1/x


Hey, happens to us all from time to time...
Reply 7
wait so whats the answer :s-smilie:
Reply 8
Original post by Loop hoop
wait so whats the answer :s-smilie:


Original post by GGYSM
It would be a cm^2 because you're dividing cm by 1/cm, which is just cm x cm.

..
Reply 9
Original post by Loop hoop
wait so whats the answer :s-smilie:


cm^2 (centimeter squared)
Is your question pertaining to spectroscopy? Infra red spectroscopy maybe?

The x axis of the spectrum is wavenumber, i.e. the number of waves per unit length. Usually this is measured in the unit cm-1, the reciprocal of the wavelength of the IR radiation being used.

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