Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle θ with each other. When suspended in water the…

Question

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle $θ$ with each other. When suspended in water the angle remains the same. If density of the material of the sphere is $1.5 g / cc,$ the dielectric constant of water will be ______.

(Take density of water $= 1 g / cc$ )

MARKS Content Team · Accepted Answer

Correct answer: 3. In air: tan(θ)/2=F/mg=q^24πε_0r^2mg In water: tan(θ)/2=F^(')mg^(')=q^24πε_0ε_rr^2mg_eff Equate both equations, we get ε_0 g=ε_0ε_rg1-1/1.5 ⇒ε_r=3

Solution

Relevant Questions