Q.

The ratio of energy density in the electric field (uE)  to square of electric potential  (V2) at a point A at a distance x from a static point charge Q is  η. (Assuming electric potential at infinity to be zero)

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a

The dimensional formula for the ratio η is [M1L5T4A2]

b

The value of the ratio at a distance 2x from the point charge Q is η2

c

The value of the ratio at a distance 2x from the point charge Q is  η4

d

The dimensional formula for the ratio  η is [M1L5T4A2]

answer is C, D.

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Detailed Solution

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C)  Question Image

uE=12ε0E2=12ε0(k0Qx2)2 V=k0Qx  and  V2=(k0Qx)2 R2R1=(x1x2)2=14

D) [η]=ε0x2=Q2x2Fx2=A2T2L2L2HLT2=M1L5T4A2

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