1) In 6500 there are 13 slots are available am i right and 2 sup's?
in a 6513 chassis there 13 slots if using two supervisors two slots are used by them.
Supervisors have to be installed in some specific slots
2) if you have 9 modules you can install them if your power supplies can support all of them at the same time.
I didn't understand what you mean with "rest of them for ours compatability"
3) single and multimode refers to fiber communications: a single mode fiber has a smaller core (micrometers) and the ratio of diameter D and wavelength lambda is less then PI (3.1415) : so a single mode mode 0 will carry the signal.
in a multimode fiber the core is bigger and this allows for multiple modes: in this case signal energy is spread over multiple modes.
GBICs are small submodules that allow to adapt a single GE port to your needs: single mode or multimode and other variations of single mode.
At the two ends of a pair of fiber cables the two GBICs must be of the same type to get a working link
the tx fiber of sideA has to go to the rx side of sideB and viceversa.
4) As far as I know a single chassis cannot be partioned in this way: the second supervisor is there for redundancy that can be managed with different strategies (RPR, RPR+, SSO) but only one active supervisor and the second can be a cold standby or hot standby (with SSO)
Just to confirm, yes you recall correctly. Slots 1 - 8 only support a single 20Gbps connection to the switch fabric so modules such as the WS-X6748-GE-TX which have dual 20Gbps connections must go in slots 9 - 13.
I agree with what you say, maximum performance rather than capacity would suggest a 6509 chassis to be a better choice.
from what I recall, 6509VE chasis has all line cards vertically while 6509E has them horizontally. If you get the old 6509 chasis make sure you have correct power supply because sup32 and sup720 are incompatible with some old 6509 chasis power supply units. ideally if you are going for sup720 you should have 6509E chasis.
This document gives several answers on frequently asked questions for PFRv3 channel state behavior.
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