Basic Qn on Characteristic Impedance and Wavelength

a transmission line is given with characteristic impedance of Z1 and length of quarter-wavelength (lamda/4) at 2Ghz.

at wat other frequencies would the same characteristic impedance and (lamda/4) length be repeated?

is it at 3GHz, 4GHz, 5GHz, e.t.c?

Multiples of 2pi.

4,6,8,10 etc.

hi yendori,

thanks...

how does 2pi relates to the freq? i am slightly confused..

does it mean multiples of 2pi means the harmonics?

I do not agree that
"Multiples of 2pi. 4,6,8,10 etc."

Per say at 2GHz lambda /4 is per say 10 mm
at 4GHz it is lambda/2.

I am surprise to see why it could be?
Mr. Yendori . please tell us how it is possible?

Well I am right even though you can't see it.

I was hoping for more of a backlash.

Multiples of 2pi, pi, 23.7pi, .73pi, the Zo will be the same, because it has nothing to do with length.

And don't call me Mr. Yendori, only my wife calls me that.