Question

Two identically charged spheres are suspended by strings of equal lengths. The strings make an angle of 30° with each other. When suspended in a liquid of density 0.8g/cm', the angle remains the same. If the density of the material of the sphere is 16 g/cm', the dielectric constant of the liquid is

Two identically charged spheres are suspended by strings of equal lengths. The strings make an angle of 30° with each other. When suspended in a liquid of density 0.8g/cm', the angle remains the same. If the density of the material of the sphere is 16 g/cm', the dielectric constant of the liquid is

JEE/Engineering Exams

Physics

Solution

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Two identically charged spheres are suspended by strings of equal lengths. The strings make an angle of 30° with each other. When suspended in a liquid of density 0.8g/cm', the angle remains the same. If the density of the material of the sphere is 16 g/cm', the dielectric constant of the liquid is

TCOS0=MG

Tsing0=Fe

Tan0=Fe/mg

Tcos0+FB=mg

Tcos0=mg-FB

Tsin0=Fe

Tan0=Fe/mg-FB

1=2

FE/mg=FE/mg-FB but Fe=Fe/r

Fe/mg=fe/if(mg-mg1/d)

kmy (1-9/a)=mg

k mg (1-0,8/1,62=1

kx1/2=1 k =2