Oscillating drops Liquid drops are generally nonspherical when formed$($e$.$g$.,$ upon release from a pipette$)$ and if they are in a certain size range their shape oscillatesin time. It is desired to predict the period to of the oscillations.$($a$)$ Assuming that to depends only on the surface tension $,$ the liquid density $,$ and thelinear dimension R $($the radius of a sphere of equal volume$),$ what can you concludefrom dimensional analysis?$($b$)$ Implicit in part $($a$)$ is that inertia and surface tension are important, but the oscillationsare unaffected by viscosity or gravity. Estimate the range of R for which that will betrue for a water drop. Hint: as inertia and surface are important, you may assumeWeber number We $=1.$ As viscosity or gravity is not important, Ca $<<1$ and Bo $<<1.$The following properties for water can be found: $=10-3$ Pa$.$s$,=1000$ kg$/$m$3,=0\mathrm{.}07$ N$/$m$.$