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At distance 'r' from a point charge, the...

At distance 'r' from a point charge, the ratio `(U)/(V^(2))` (where 'U' is energy density and 'V' is potential) is best respresented by :

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B

`u=(1)/(2)epsilon_(0)E^(2)=(1)/(2)(epsilon_(0)K^(2)Q^(2))/(2r^(4))`
`v=(KQ)/(r)(u)/(V^(2))=((1)/(2)epsilon_(0)K^(2)Q^(2)/r^(4))/((K^(2)Q^(2))/r^(2))=(1)/(2)(epsilon_(0))/(2r^(2))`
because `(u)/(V^(2))prop(1)/(r^(2))` so that correct option option `(B)`
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