Initial condition :when in air
T cos15 = mg -------(1)
T sin15 = Kq2/r2 ------------(2)
from (1) and (2)
tan15 = Kq2/(mgr2) -----------(3)
final condition: when in liquid
let k be dielectric constant..
T'cos15 = mg - B --------------(4) where B is buoyant force
T' sin15 = Kq2/kr2 --------------(5)
from (5) and (4)
tan15 = Kq2/{(mg - B)r2} ----------------(6)
from (3) and (6)
Kq2/(mgr2) = Kq2/{k(mg - B)r2}
therefore, k = mg/(mg - B)
k = 1.6/(1.6 - 0.8) = 2 :)