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The electric field intensity at a p...

The electric field intensity at a point near a sphere of radius r and surface density of `rho` in a medium of dielectric constant K is

A

`(4pi rho)/( k)`

B

`(2pi rho)/( k)`

C

`( pi rho)/(kr )`

D

`(pi rho)/(2 kr )`

Text Solution

Verified by Experts

Torque ` tau = P E sin theta ~~ pE theta [theta ~~0]` M
Again , `tau =- I (d^(2) theta )/( d t ^(2) )`
` therefore pE theta =-(Id^(2) theta )/( dt ^(2)) or, ( d^(2) theta ) /( dt^(2) + p (E )/(I) =0`
comparing the above equation with the general equation of SHM ,
`omega ^(2) =pE )/(I ) ` or , omega =((pE )/(I ))^(1/2)`
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