can someone check this for me?

weber number = density*velocity^2*length/surface tension

find dimensions of surface tension.

density= ML-3

speed = [LT-1]^2

Length = L

so

[ML^-3]*[LT^-1]^2*[L]

= MLT

So for weber number to be dimensionless the surface tension has to cancel out MLT and therefore also has dimensions MLT.