1.

In a liquid medium of dielectric constant K and of specific gravity 2, two identically charged spheres are suspended from a fixed point by threads of equal lengths. The angle between them is 90^(@). In another medium of unknown dielectric constant K^(1), and specific gravity 4, the angle between them becomes 120^(@). If density of material of spheres is 8gm/cc then find K^(1).

Answer»

SOLUTION :`F= W Tan THETA`
(i) `(1)/(4pi in_(0))(q^(2))/(K(2l^(2)))= mg (1-(2)/(8)) Tan 45^(@)`
(II) `(1)/(4pi in_(0))(q^(2))/(K^(1)(3l^(2)))=mg (1-(4)/(8))Tan 60^(@)`
(iii) gives `K^(1) = (K)/(sqrt3)`


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