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Two identical spheres of same mass and s...

Two identical spheres of same mass and specific gravity (which is the ratio of density of a substance and density of water) 2.4 have different charges of Q and -3Q. They are suspended from two strings of same length `l` fixed to points at the same horizontal level, but distance `l` from each other. When the entire set up is transferred inside a liquid of specific gravity 0.8, it is observed that the inclination of each string in equilibrium remains uncharged. The dielectric constant of the liquid is K. Find the value of 4 K

A

2

B

3

C

1.5

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

`tan theta=(F_(e))/(V rho g) =(F_(0)//k)/(v(rho-sigma)g)rArr k=(rho)/(rho-sigma) =2.4/(2.4-0.8) =1.5`
As `k=(rho)/(rho-sigma) =2.4/(2.4-0.8)=1.5`
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