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The ratio of magnitudes of Electric field strength at $A (2, 0, 0)$ and at $B (2, 2 \sqrt{3}, 0)$ due to a short dipole having dipole moment $\vec{p} = \hat{i} + \sqrt{3} \hat{j}$ , kept at origin is

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Correct option is C

Eax=k2pr3 Eeq=kpr3 here for point (2,0,0) ⇒r=2 EA=E1+E2=2k(1)23i^+k(3)23j^ EA=(k4)2+(3k8)2=7k8 EB=k16So EAEB=27

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The ratio of magnitudes of Electric field strength at A(2,0,0) and at B (2,23,0) due to a short dipole having dipole moment p→=i^+3j^ , kept at origin is

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The ratio of magnitudes of Electric field strength at $A (2, 0, 0)$ and at $B (2, 2 \sqrt{3}, 0)$ due to a short dipole having dipole moment $\vec{p} = \hat{i} + \sqrt{3} \hat{j}$ , kept at origin is